The area of the top face of a cube is 9 square centimeters. use 9 of these cubes to make a rectangular prism. What is the volume of the rectagular prism

Answers

Answer 1

The volume of the rectangular prism is 243 cm³

given that

The top face of the cube has an area of 9 cm²

since All the faces of the cube are squares

therefore The top face is a square

∵ Area of any square = L² , where L is the length of the side of

 the square

∵ Area of the top face is 9 cm²

∴ L² = 9 ⇒ take √ for both sides

∴ L = 3 cm

∵ The volume of any cube = L³

∵ L = 3 cm

∴ The volume of the cube = (3)³ = 27 cm³

- We will use 9 cubes to make a rectangle prism

∴ The volume of the rectangle prism is equal to the volume of

 the 9 cubes

∴ The volume of the prism = 9 × volume of a cube

∵ The volume of the cube is 27 cm³

∴ The volume of the prism = 9 × 27 = 243 cm³

* The volume of the rectangular prism is 243 cm³

learn more about of rectangular prism here

https://brainly.com/question/13066534

#SPJ9


Related Questions

a rectangular plot of land measures 40.0 m by 120.0 m, with a parcel 10.0 m by 12.0 m out of one corner for an electrical transformer. what is the area, in meters squared, of the remaining plot?

Answers

The area of the remaining rectangular plot of land is 4680m²

Area of rectangle:

Area of rectangle means the area covered by the rectangle.

The formula for area of rectangle is

A = l x b

where,

l is the length of the rectangle

b is the breadth or width of the rectangle

Given,

A rectangular plot of land measures 40.0 m by 120.0 m, with a parcel 10.0 m by 12.0 m out of one corner for an electrical transformer.

Here we need to find the remaining area of the rectangular plot land.

For that first, we have to find the area of each separately,

Like,

The area of the rectangular plot is,

A₁ = 40.0 x 120.0 m²

A₁ = 4800m²

Similarly, the area of the electric transformer is,

A₂ = 10.0 x 12.0 m²

A₂ = 120m²

Now the remining area is,

A = A₁ - A₂

A = 4800 - 120 m²

A = 4680m²

Therefore, the area of the remaining rectangular plot is 4680m².

To know more about Area of rectangle here.

https://brainly.com/question/20693059

#SPJ4

How do I work this out

Answers

Answer:

multiply simplify and work out the problem as slow as possible so you can get it right

Your friend has $100 when he goes to the fair. he spends $10 to enter the fair and $20 on food. rides at the fair cost $2 per ride. which function can be used to determine how much money he has left over after x rides? f(x) = −2x 70 f(x) = 2x 70 f(x) = −2x − 70 f(x) = −30x $100

Answers

The function which can be used to determine the amount of money he has left over after x rides is f(x)=-2x+70.

This function is linear. A linear variable function can be written in the form of y=f(x)=a+bx, where a and b are integers and x, is the variable. This function has one independent variable and one dependent variable. In the above given function y=f(x)=a+bx; y is the dependent variable and x is the independent variable.

Here since x number of rides are taken and the cost per ride is x so the total cost of x rides is given as 2x.

Since there is a total of $100 and an amount of ($10+$20=$30) is spent on entry and food respectively.

Therefore, total amount left after all the expenses can be expressed as:

f(x)=100-(30+2x)

f(x)=70-2x

f(x)=-2x+70

Therefore, function which can be used to determine the amount of money he has left over after x rides is f(x)=-2x+70.

Learn more about Function at:

brainly.com/question/10439235

#SPJ4

matt is five years older than twice his cousin andy’s age. the sum of their ages is less than 35. let x represent andy's age. which inequality represents andy’s possible age? 0

Answers

The inequality: y < 10 represents Andy's  age.

What is an inequality?

Inequality refers to a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given:

Matt is five years order than twice Andy's agesum of their ages < 35x = Andy's age

To find: Inequality that represents Andy's possible  age.

Finding:

Let y = Andy's age

According to the question,

x = 2y + 5

x + y < 35

=> 2y + 5 + y < 35

=> 3y < 30

=> y < 10

Hence, the inequality: y < 10 represents Andy's  age.

To learn more about inequalities, refer to the link: https://brainly.com/question/24372553

#SPJ4

26 divided by 7,254 i need help

Answers

Answer:

279, Remainder 0

Step-by-step explanation(Using long division):

[tex]72 - 52(26 \times 2) = 20\\20(5) - 182(26 \times 7) = 23\\23(4) - 234(26 \times 9) = 0(Remainder)\\= 279\\= R=0[/tex]

So i am have homework and it is asking me to show the ratios are equivalent by simplifying any 4 of them and i am stuck in that one i don't understant that can you help me pls can u explain me

Answers

The ratios are shown equivalent as by simplification done below.

Ratio is the representative of comparison of part of things in a complete thing. Equivalent ratios are collection of ratios that show same comparison. As per the given question, the equivalent ratios are calculated as follows -

First column -

Ratio = 6:2

Dividing both the parts of ratio by 2

Ratio = 3:1

Second column -

Ratio = 9:3

Dividing both the parts of ratio by 3

Ratio = 3:1

Third column -

Ratio = 12:4

Dividing both the parts of ratio by 4

Ratio = 3:1

Fourth column -

Ratio = 15:5

Dividing both the parts of ratio by 5

Ratio = 3:1  

Similarly, for rest of the columns, division by 6, 7 and 8 of both parts of ratio will give the result 3:1. Hence, the given rations are shown as equivalent ratios, by simplifying into 3:1.

Learn more about equivalent ratio -

https://brainly.com/question/18219942

#SPJ4

Hiroshi and Giulio share a common investment goal and once they reach their goals, they will withdraw their money.

Giulio starts out with 3
3
times as much money as Hiroshi and it takes Hiroshi 5
5
times longer than Giulio to reach this goal.

They both use the same bank that provides a 5
5
% annual interest rate compounded quarterly.

Work out how long it takes Hiroshi to reach his investment goal?

Give your answer correct to the nearest year.

Answers

It takes Hiroshi 30 years to reach his investment goal.

The formula for calculating the amount received on the principal amount (P) after t years at r% rate of interest is-

Amount = P(1 + r/100)^t

Let the principle amount with Hiroshi be P

then, the amount that Giulio starts with = 3P

Let time period for Giulio's investment = t

Then, the time period for Hiroshi's investment = 5t

Rate = 5%

As the investment goals of both the people are equal, they will get the same amount.

Therefore, we get the following equation-

P(1 + 20/100)^5t/4 = 3P(1 + 20/100)^t/4

(1 + 20/100)^5t/4 = 3(1 + 20/100)^t/4

[(1 + 20/100)^5t/4] /[(1 + 20/100)^t/4] = 3

(1 + 20/100)^(5t/4- t/4) = 3

(1 + 20/100)^(4t/4) = 3

(1 +0.2)^t = 3

(1.2)^t = 3

Taking log on both sides-

Log (1.2)^t = log 3

t log 1.2 = log 3

t = log 3/ log 1.2

t = 6.025

Time taken by Hiroshi to reach his investment goal = 5t

= 5(6.025)

= 30.128

Thus, it takes Hiroshi 30 years to reach his investment goal.

Learn more about compound interest here-

https://brainly.com/question/24924853

#SPJ9

Olumide plays the piano and quitar. for every five minutes of piano practice, he spends 8minutes practicing guitar. how many minutes will olumide practice piano if he spends 64 minutes practicing guitar

Answers

Total time Olumide spends practicing piano is 40 minutes.

For every five minutes of piano practice, Olumide spends 8minutes practicing guitar.

Total time he spends practicing guitar = 64 minutes

We need to divide 64 by 8 to get the number of times he plays guitar.

The number of times he plays guitar = 64 / 8 = 8

According to question, he plays guitar after every piano practice.

So, The number of times he plays piano = The number of times he plays guitar = 8

Each time he practice piano for 5 minutes. So,

Total time he spends practicing piano = 8 × 5 = 40 minutes.

Total time Olumide spends practicing piano is 40 minutes.

To know more about Mathematical Problems involving statements refer to the link :

brainly.com/question/14564489

#SPJ4


Determine whether the statement is true or false if x=8, y=2 , and z=3 .
x+y>z+y

Answers

Given that x = 8, y = 2, and z = 3, the inequality x + y > z + y is true.

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To check if the inequality x + y > z + y is true when x = 8, y = 2, and z = 3, plug in or substitute the value of each variable to the inequality and evaluate.

x + y > z + y

8 + 2 > 3 + 2

10 > 5

Since 10 is greater than 5, the given values satisfies the inequality, then the statement is true.

Learn more about inequalities here: https://brainly.com/question/24372553

#SPJ4


Draw an irregular 14-sided polyhedron which has two congruent bases.

Answers

An irregular 14-sided polyhedron which has two congruent bases is as shown in the attached file.

What is a Polyhedron?

A polyhedron is a three dimensional solid shape made by joining together polygons.

For example we can consider a prism having 12-sided regular polygons as bases because then there would be 2 bases and 12 lateral sides for a total of 14 sides for the polyhedron.

Since the lateral faces are rectangles and not 12-sided polygons like the bases, the polyhedron is an irregular polyhedron.

Applying the above, we can draw an irregular 14-sided polyhedron which has two congruent bases as shown in the attached file.

Read more about Polyhedron at; https://brainly.com/question/16389365

#SPJ1

Cuánto es 15–4(n–2)=27

Answers

Answer:

tu respuesta es -1

Step-by-step explanation:

15-4(n-2) =27

15-4n+8=27

15-4n+8=27

23-4n=27

-4n+23=27

-4n+23-23=27-23

-4n=27-23

-4n=4

[tex]\frac{-4}{4} \frac{4}{4}[/tex] =-1

14/7 into mixed numbers​

Answers

Answer:
it is a whole number because 14 divided by 2 = 7

so the answer is 7 :)

hope this helped!

The answer is 2 because 14/7 because 14 divided by 2is 7 so there are 2 groups of 7

a region is bounded by semicircular arcs constructed on the side of a square whose sides measure $2/\pi$, as shown. what is the perimeter of this region?

Answers

The perimeter of this region is 4.

What is perimeter?

playing a card game, set of cards that are numbered or outlined (or both) and are utilized for messing around, for schooling, for divination, and for conjuring. Generally, Western playing a card game are made of rectangular layers of paper or slight cardboard stuck together to frame a level, semirigid material. Some have proposed that the playing a card game previously worked as "play cash" and addressed the stakes utilized for other betting games, and later turned out to be essential for the actual games. Others have proposed associations between playing a card game and chess or dice games, yet this is again theoretical. Different games, for example, a 25-card variation of Euchre which involves the Joker as the most elevated trump, make it one of the main in the game. Frequently, the Joker is a special case, and subsequently permitted to address other existing cards.

To learn more about perimeter, visit:

https://brainly.com/question/12546443

#SPJ4

Any genius willing to help :) , I'll give you a brainliest if you do.

Answers

Answer:

00

Step-by-step explanation:

(0,0)
(-3,-2)
(-5,0)
(4,0)
(2,-2)
(5,-2)

) Find the value of x.
V
X+2
91°
44°

Answers

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

and the sum of all angles around a single point on one side of a line is also always 180° (because that line is like a diameter of any circle with that point as center, and half a circle is 180°).

3)

the third inner angle of the triangle is

180 = 63 + 51 + angle = 114 + angle

angle = 66°.

x = 180 - 66 = 114°

4)

the third inner angle of the triangle is

180 = 86 + 45 + angle = 131 + angle

angle = 49°

x + 30 = 180 - 49 = 131°

x = 101


The edge of a circular flower bed, 320 ft in diameter, needs mulch. How many cubic
yards (yd³) of mulch do you need if you want the mulch to cover 2 ft in from the edge to a
depth of 3.5 inches, all the way around

Answers

868.34 cubic yards (yd³) of mulch is needed to cover 2 ft in from the edge to a depth of 3.5 inches,

To calculate square feet for a circular area, measure the distance from the center of the bed to the outer edge (this is the radius  R) .Then area is given by square meters of circular area = [tex]R\times R\times\ 3.14[/tex]  ....(1)To determine the amount of mulch you need 1. Multiply the square feet of your bed by the number of inches of mulch you want to deep . 2. Divide this number by 324 . You will get the amount of mulch you need in a cubic yard.

It is given that a circular flower bed, 320 ft in diameter which means radius[tex]=\frac{320}{2}= 160 \ ft[/tex]

Putting r = 160 in equation (1) , we get

[tex]A=160\times160\times3.14\\A=80384 \ ft \ sqaure \ units[/tex]

We need the mulch 3.5 inches deep

[tex]80384\times3.5=281344[/tex]

On dividing the above number by 324 , we will get the required cubic yards  [tex]\frac{281344}{324} =868.34[/tex]

Learn more about area of circle here :

https://brainly.com/question/15673093

#SPJ9

Find the square root of 0.81
A. 0.009
B. 0.09
C. 0.9
D. 9

Answers

Answer: C. 0.9

I used a caculator.

Is (2,-1) a solution of 2x-y=5? Explai
how your work.

Answers

Answer:

Yes, (2, -1) is a solution.

Step-by-step explanation:

Plug in 2 for x and -1 in for y and see if it is a true statement.

2x - y = 5

2(2) - (-1) = 5

4 - (-1) = 5  Subtracting a negative number is the same as adding a positive number

4 + 1 = 5

5 = 5  Since this statement is true, (2,-1) is a solution.

The width of a rectangle is five less than three times the length of the rectangle. If the perimeter of the rectangle is 70 inches what are the dimensions of the rectangle?

Answers

Step-by-step explanation:

Do you mean width equal 5

What’s this I don’t understand

Answers

Answer:

16/725

Step-by-step explanation:

Solve for X
4(5x+6)=12
-3(2x-4)=18
26=2(3x-2)

Answers

The value of x in the equations are:

1. x = -3/5

2. x = -1

3. x = 5

How to Solve an Equation?

Given the equations above, to solve for x, isolate x as the variable in the equation to one side of the equation.

a. 4(5x+6) = 12

Apply the distributive property

20x + 24 = 12

20x = 12 - 24

20x = -12

x = -12/20

x = -3/5

b. -3(2x - 4) = 18

Apply the distributive property

-6x + 12 = 18

-6x + 12 - 12 = 18 - 12

-6x = 6

x = 6/-6

x = -1

c. 26 = 2(3x - 2)

Apply the distributive property

26 = 6x - 4

26 + 4 = 6x

30 = 6x

5 = x

x = 5

Learn more about equations on:

https://brainly.com/question/25678139

#SPJ1


1. Turn this standard notation 25,000,000 into scientific notation.

Answers

Answer:

25,000,000 = 2.5 × 10^7

The ^ is raised to the power.

Hope this helps :)

Step-by-step explanation:

2.5 × 10^7 = 25,000,000

i don’t get it help i need to understand it kinda confusing please help me if u don’t i’ll fail

Answers

Answer: Brainliest? It's a lot of questions

Step-by-step explanation:

7) 20*50 = 1000

8) 10^2 = 100

20*6=120

120>100

Yes, she will finish the reading in time because she will read 20 pages more than needed.

9) 10 x 20 x 30 x 40 = (1 x 10) x (2 x 10) x (3 x 10) x (4 x 10)

=(1 x 2 x 3 x 4) x (10 x 10 x 10 x 10)= 24 x 10000 = 240000

10) Called different things different places do yourself

11) (10^3 x 12) + (10^2 x 35)

=(1000 x 12) + (100 x 35)

=12000+3500

=15500

How can you use surveys, experiments and observational studies to make inferences about a population?

Answers

Surveys, Experiments, and Observational studies are some common methods of data collection in statistical studies that involve people.

A survey is a means to gather information about a group of individuals by asking some of them to respond to questions. A survey may require participants to fill out forms, respond to online questionnaires, take part in in-person interviews, or respond to questions over the phone.

In an experiment, as opposed to an observational study, different treatments are purposefully applied to several groups, and the groups are then compared to see whether there are any differences in a certain variable of interest termed a response. Researchers can determine whether various treatments have distinct effects by using a well-designed experiment.

In an observational study, a researcher utilizes data from observations to learn about a group of people. Aside from assessing their replies, the people being watched are particularly not hampered.

To know more about statistical studies, refer to this link :

https://brainly.com/question/12748848?referrer=searchResults

#SPJ4

r. gao and a. j. kleywegt. distributionally robust stochastic optimization with wasserstein distance. arxiv preprint arxiv:1604.02199, 2016.

Answers

Distributionally robust stochastic optimization (DRSO) is a framework for decision-making problems under certainty, which finds solutions that perform well for a chosen set of probability distributions.

Review on r. gao and a. j. kleywegt. distributionally robust stochastic optimization with wasserstein distance -

A paradigm for decision-making under certainty called distributionally resistant stochastic optimization (DRSO) seeks solutions that function well for a specified set of probability distributions. There have been many different methods offered for describing a set of distributions. The decision is significant since it has an impact on the outcomes, and the relative effectiveness of various options depends on the traits of the issues. In this study, we take into account issues where various random variables show some degree of reliance, but the precise values of the parameters describing the dependence are unknown.We also get the DRSO problem in a dual reformulation. The formulation also has the advantage of avoiding a problem related to the one-sided moment constraints in moment-based DRSO issues, which is a desirable result.

Learn more about DRSO

brainly.com/question/2748639

#SPJ4

there are 11 books on a shelf. 9 of these books are new. the rest of them are used

Answers

Two of them are used and 9 of them are not

Convert 99 grams into pounds. Round your answer to the nearest hundredth.

Answers

Convert 99 grams into pounds is 0.22.

In the US, the pound is the unit of mass that is utilized. It is symbolized by the letter lbs. Therefore, we must calculate the estimated number of grams in a pound. Both pounds and grams can be converted into one another as units of mass.

Since both systems of units may carry the same mass, the fundamental conversion rate between pounds and grams is crucial for international trade. Because just writing the numbers makes no sense, units should always be written after the final solution has been evaluated. The method of transposition may be used to discover the conversion of a given number of values from one unit to another by multiplying or dividing both sides of the equation by the same number.

Covert the unit = 99 gram

99 gram = 0.218258 pound

Rounding the converted number is 0.22.

To learn more about grams into pounds refer the link:

https://brainly.com/question/9821786

#SPJ9

Gogglejaws can eat 36 fish in one minute.
How many fish could Gogglejaws eat in 2.2
hours?

Answers

Answer:

3752

Step-by-step explanation:

there are 60 minutes in an hour so multiply 2.2 times 60

2.2 • 60 = 132 minutes

132 min • 36 fish = 3752

Natalie reads for 6/8 hour on 6 days each week. how many hours does natalie read each week

Answers

Natalie read 4.5 hours each week

In this question,

Natalie reads for 6/8 hour on 6 days each week.

We need to find how many hours Natalie read each week.

Based on the given conditions, formulate: 6/8 × 6

Write as a single fraction:

= (6 × 6)/8

= (3 × 3)/2             .................(Cross out the common factor)

= 9/2

= 4.5 hours

Therefore, Natalie read 4.5 hours each week

Learn more about the fractions here:

https://brainly.com/question/8969674

#SPJ4

NEED HELP FAST, GIVING AWAY 99 POINTS.

Evaluate the numerical expression.

3/2 − (−1/4)

A -1/2
B -3/2
C 7/4
D 4/5

Answers

Answer:

The answer is C. 7/4 :)

The correct answer is C (7/4).
Have a great day!
Other Questions
Q1.An athlete decides to try a new type of protein drink after he exercises.(a)The athlete tests the protein drink to check it contains protein.Which solution is used to test for protein in the drink?Tick one box.Benedict'sBiuretlodineUniversal indicator A doctor might give bicarbonate HCO to a patient who is breathing very rapidly. What is the doctor assuming about the patient's blood chemistry? What invention/process of the industrial revolutions has had the most amplification of anthropogenic impacts on the planet? In the deserts of the southwestern United States, the soils are mostly sandy, with occasional large regions of black rock derived from lava flows that occurred 1.7 million years ago. Mice are found in both sandy and rocky areas, and owls are known predators. What might you expect about coat color in these two mouse populations? Explain. How would you use this ecosystem to further test the camouflage hypothesis? when increased understanding of criminal justice systems in other countries allows those countries to cooperate in fighting crime, which of the following benefits of an international perspective is being provided? a broker/agent may be terminated for cause if they fail to comply with a compliance investigation, encourage others to avoid the compliance interview process, or fail to provide truthful or complete information. A growth strategy that focuses on increasing market share or profits by creating improvements in products or services is called a(n) ______ strategy. What are the two main ingredients in the universe that interact with each other? Ms. Francis is planning a birthday party for her daughter. There will be 22 children at the party, and in order to seat them all she needs to rent square card tables. Only 1 child can sit at each side of a card table.Ms. Francis wants to arrange the tables in a rectangular shape so they look like one large table. The room is large enough thatthe rectangle can be made with more than one row of tables.Part A: How many different arrangements can Ms. Francis make to seat all 22 children?Part B: What is the smallest number of tables that Ms. Francis needs to rent?DIRECTIONS: To solve the problem, apply the steps of the Mathematical Problem-Solving Routine.Understand1. Try to visualize the situation. Consider drawing a diagram2. State the problem in your own words.3. What is the important information in the problem?Plan4. What strategy will you use to solve the problem? Why?Predict an answer. Think of two or three texts you have read in school that were written in the twentieth century. Write down their titles and explain, based on the information here, whether you think they are modernist or postmodernist works. Use evidence from this text to support your assertions. Kennedys reference to our forebears (line 4(our forebears)) serves mainly to Which axis is triangle ABC reflected across? Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.Perimeter:rea: What is La amistad in plural form question 2(multiple choice worth 1 points) (01.04 mc) which colonial area or areas placed a high value on religious freedom? middle and southern new england and middle new england only southern and new england ______ are released from axon terminals and are detected by protein receptors on an adjacent neuron. Olivia purchases gifts for her mom and grandma for Mothers Day the first pair as a pair of sunglasses for $16.35 and the second is a bracelet your total is 39 and $.75 how much did she spend on the bracelet four identical metallic spheres with charges of +5.0 c, +4.2 c, 3.8 c, and 2.8 c are placed on a piece of paper. the paper is lifted on all corners so that the spheres come into contact with each other simultaneously. the paper is then flattened so that the metallic spheres become separated. (a) what is the resulting charge on each sphere? 0.65 correct: your answer is correct. c (b) how many excess or absent electrons (depending on the sign of your answer to part (a)) correspond to the resulting charge on each sphere? -4.0625e13 incorrect: your answer is incorrect. what is the charge of an electron/proton? electrons are ---select--- joyce is laid off from her job with the heavy equipment manufacturer due to a decrease in the demand for heavy equipment caused by a recession. she searches for a job for five months and then is rehired by her old employer when the economy begins to recover. while joyce was looking for work, she was: What are the three branches of government? 1. The legislative branch makes the laws. It is headed by congress. Congress includes the senate and the house of representatives. 2. The judicial branch is headed by the supreme court. It interprets the laws by analyzing the constitution, reviewing laws, and making decisions about states rights. 3. The executive branch enforces the laws. It is headed by the president of the united states. The executive branch is in charge of the military, communicates with other countries, and can veto a law.