Cube-shaped boxes will be loaded into the cargo hold of a truck. The cargo hold of the truck is in the shape of a rectangular prism. The edges of each box measure 2.50 feet and the dimensions of the cargo hold are 7.50 feet by 15.00 feet by 7.50 feet. What is the volume, in cubic feet, of each box? (Big box volume) and (small box volume)

Answers

Answer 1
Solve each problem. Volume of a Box A piece of sheet metal is 2.5 times as long as it is wide. It is to be made into a box with an open top by cutting 3 -inch squares from each corner and folding up the sides, as shown at the top of the next page. Let x
represent the width of the original piece of sheet metal. (a) Represent the length of the original piece of sheet metal in terms of x.
(b) What are the restrictions on x?
(c) Determine a function V
that represents the volume of the box in terms of x
(d) For what values of x
(that is, original widths) will the volume of the box be between 600 and 800 cubic inches? Determine the answer graphically, and give values to the nearest tenth of an inch
Answer 2

The  Volume of cubical box is 15.625 ft³.

The Volume of Cuboidal box is 843.75 ft³

What is Volume?

Volume is a term used in mathematics to describe how much three-dimensional space an item or closed surface occupies.

Given:

Cube: edge = 2.5 feet

Cuboid: l = 7.5 ft, w= 15 feet, h= 7.5 feet

So, Volume of cubical box

= l³

= 2.5³

= 15.625 ft³

and, Volume of Cuboidal box

= lwh

= 7.5 x 15 x 7.5

= 843.75 ft³

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ7


Related Questions

20 POINTS) Linda has to buy stickers, erasers, and a pencil. She can only spend $3. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Linda buy 3 stickers and 2 erasers?

[Use the inequality 0.35x + 0.99y + 0.59 ≤ 3]

Yes, because the total will be $1.62
Yes, because the total will be $2.93
No, because the total will be $3.62
No, because the total will be $5.93

Answers

Answer:

No, because the total will be $3.62

Step-by-step explanation:

When we substitute with 3 and 2 shown below

0.35(3)+0.99(2)+0.59 we get 3.62, which is greater than 3 dollars.

Hope this helped<33

Answer:

Alright so the question states that "She can only spend $3."

A sticker costs $0.35

A eraser is $0.99

A pencil costs $0.59

What you are trying to find is Can Linda buy 3 stickers and 2 erasers.

So add the total value of stickers prices. You need to know what's the cost of 3 stickers and 2 erasers

0.35+0.35+0.35= 1.05+0.99+0.99 = 3.03 So she can't. Now can she buy 1 sticker, 1 eraser, and 1 pencil. So is it enough to get 1 of each item?

0.35+0.99+0.59=1.93 Yeah you can.

But is it enough for her to get 3 stickers, 2 erasers and a pencil?

We already know the cost for 3 stickers and 2 erasers is $3.03. All you need to do is add $0.59 to find the total cost. The total cost of 3 stickers and 2 erasers and a pencil is $3.62. So the answer is No, because the total will be $3.62 and her budget is $3 so she will need extra $0.62 to cover the full cost.

Hope this helps

How many cubes with the side lengths of 1/3 ft completely fill the prism?

Answers

Answer:

48 cubes

Step-by-step explanation:

To begin, we must find the volume of both the cube and the rectangular prism.

The volume of a cube is a side to the 3rd power.

1/3 · 1/3 · 1/3 = 1/27

The volume of a prism is l * w * h.

2/3 · 1 · 8/3 = 16/9

Now, we have the volume of a cube and the prism. Since we have the find how many cubes can fit into the prism, we must divide 16/9 by 1/27.

16/9 ÷ 1/27 = 16/9 · 27/1 = 432/9 = 48/1 = 48

Therefore, 48 cubes will fit into the prism.

We’ll start off by multiplying all 3 as it is a rectangular prism. turn 2 2/3 improper; 8/3.
1 can be 3/3.

and 2/3 is 2/3. So when you multiply

8/3 x 3/3 x 2/3 gives 48/27.

now: since it is a cube all the sides are the same

1/3 x 1/3 x 1/3 is 1/27.

48/27 divided by 1/27 is 48

Answer 48.

Find an equivalent expression for -3(2x+5)-(x-1)

Answers

Answer:

-7x - 14

Step-by-step explanation:

By simplifying the expression:

-3(2x+5) - (x - 1)

-6x-15 -x + 1

-7x - 14

Answer:

-7x - 14

Step-by-step explanation:

You can use the distributive property to find an equivalent expression.

Distribute -3 to 2x + 5.

(-3 × 2x) + (-3 × 5) = -6x + (-15) = -6x - 15

Distribute -1 to x - 1. (It is -1 because there is always a 1 in front of things like x = 1x and (x + 1) = 1(x + 1). 1 times anything equals the number it is multiplied by. There is a - sign in front of the parenthesis, which makes the invisible 1 a -1.)

(-1 × x) + (-1 × -1) = -x + 1

You can simplify the expression.

(-6x - 15) + (-x + 1) = -7x - 15 + 1 = -7x - 14

I hope this helps and please mark me as brainliest!

Cassidy is going to the county fair with her friends but can only stay at the fair for 3 hours. The fair offers two different pricing structures. Cassidy can purchase an all-day pass with unlimited rides for $45.00 or she can pay an admission fee of $9.00 and pay $4.00 for each ride. If Cassidy rides 12 rides, how much does she save by buying the all-day pass?

A. $12.00
B. $21.00
C. $They both cost the same
D. $51.00

Answers

Answer:

Option A.

Step-by-step explanation:

The all- day pass is just $45.

For the other pass, we need to do 4 x 12 + 9.

4 x 12 + 9

48 + 9

57.

57 - 45 is 12.

A because it is the right answer

C. Ben and Michael also participated in the long jump. Michael jumped 334 thousandths of a meter less than Kevin. Ben jumped farther than Michael but not as far as Kevin. Write a decimal to the thousandths that is greater than Michael's distance and less than Kevin's distance. Explain the reasoning you used.

Answers

Answer

Kevin jumped 1.55 meters

Ben jumped 1.445

micheal jumped 1.201

Step-by-step explanation:

The reason I used those numbers is Kevin jumped the highest, so I made him jump the farthest. Micheal jumped 334 thousandths of a meterless than Kevin so I put he jumped 1.201.

What is the solution to the following equation?

5 + 3 (y - 4) = 5 (y + 2) - y

Answers

-17 if you solve for y
Explanation step by step:

3y-4y=10+7

-y=10+7

-y=17

Y=-17

The following diagram demonstrates the Pythagorean Theorem.

Which two equations represent the diagram below?

Answers

Answer:

B

Step-by-step explanation:

a²+b²=c²

so 3²+4²=5²

.......

Hello fellow brainly users! If you could please help me find the answers (One that was answered is wrong.) i will grant you 20 points, Image is attached!

Answers

Answer:

the answer is B

Step-by-step explanation:

this thing on khan is killing me-

Answers

Answer:

The greatest value of y is y = 4, and it occurs when x = 5

(Not sure if it's correct but this is what I came up with)

Answer:

The greatest value of y is y = 4, and it occurs when x = 5

Step-by-step explanation:

I need help please!!! thank you so much to the person who is going to help me.

Answers

Answer:

22x - 14

Step-by-step explanation:

pretty sure its like this..

3(4x-3)+5(2x-1)

= 3×4x + 3×(-3) + 5×2x + 5×(-1)

= 12x + (-9) + 10x + (-5)

and according to the rules of multiplying negative by positive...

= 12x - 9 + 10x - 5

combine like terms using the symbols on its left

= 12x + 10x - 9 - 5

= 22x - 14

22- 14x is the answer you’re welcome there

Please help me with 3-5!

Answers

3. The independent variable is what changes the dependent variable, it relies/depends on it for the outcome.

Answer fast and correctly for brainliest!!!

Answers

Answer:

C

Step-by-step explanation:

A and C

Answer:

Triangles A and C

Step-by-step explanation:

Triangle C is the same as A because C is dialated +3. They both also have the same angles.

PLEASE HELP ASAP ILL GIVE BRAINLIEST IF YOUR CORRECT

△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 50°.

Using the given information, which statement is true?

The two triangles are not similar because x≠y .

The triangles are similar because they each have an interior angle with a measure 70°.

The two triangles are not similar because the interior angles are congruent but the side lengths are different.

The two triangles are not similar because y = 60 so it is impossible to have three congruent angles.

Answers

Answer:

Now, △DEF has interior angles with measures y°, 70°, and 20°.

By using angle sum property,

Now, we can say that,

"The two triangles are not similar because x≠y"

As one angle of measure 70 degree is common in both the triangles.

If 'x' would be equal to 'y' , then we could say that the triangles are similar by AA criteria.

Therefore, the two triangles are not similar because x is not equal to

Step-by-step explanation:

Answer:

the triangles are not similar. If they were, they would have the same angles.

The interior angles are not congruent. We can rule out choice B and C.

Just because they have one equal angle does not make them similar. We can rule out D.

A is the best answer.

Rewrite each number sentence using numerals and symbols.
Add 7 and 6 and then add 9

Answers

(7+6) + 9. That is the correct answer

Find the surface area, in square inches, of a cube whose volume is 8 in³.

Answers

Answer:

24 in^2

Step-by-step explanation:

common math

Answer:

Surface area of cube is 24 in²

Step-by-step explanation:

In this question we have given volume of cube that is 8 in³. But we know that volume of cube is a³. So ,

[tex] \implies \: a {}^{3} = 8[/tex]

Now ,

[tex] \implies \: a = \sqrt[3]{8} [/tex]

So , cube root of 8 is ,

[tex] \implies \: \boxed{\bold{a = 2}}[/tex]

Therefore, value of a is 2 inches .

Now , we are finding surface area of cube . We know that surface area of cube is 6a² . So ,

6 ( 2 )²

6 ( 4 )

24

[tex] \pink{ \boxed{ Therefore, \: surface \: area \: of \: cube \: is \: 24 \: in ^{2} }}[/tex]

#Keep Learning

The black line represents your equation from Question 7. Compare the black and blue lines.

Include in your answer:

*Slope-intercept form (y=mx + b) of the blue line. Show or explain your work.
*Which line has the greater slope? How do you know?


Hint: Find the y-intercept. Then count up and over (y/x) to the next point on the line to determine the slope.

Answers

Answer:

The black line has the greater slope.

Step-by-step explanation:

One way to think about which line has the greater slope is to imagine (or draw) a car on top of each line driving from left to right. If the car is driving up a steeper hill then the slope is greater.

To show your work though, starting at the y-intercept on the black line, find another point that you can see well on the line such as (3, 4). To get from the y-intercept to (3,4) go up 2 and right 3 so the slope is 2/3.

For the blue line, find a point that is easy to see such as (2, 3). To get from the y-intercept to (2, 3) go up 1 and right 2 so the slope is 1/2.

(Remember slope is y/x or rise/run)

Since 2/3 is bigger than 1/2, the slope of the black line is greater.

answer all of the questions with number 7 they go together 7-10 please answer the sceen shot

Answers

Answer:

Step-by-step explanation:

7: slope 4/3 , y intercept 0,0

8: 1

9: 0,5

10: slope 1, y intercept 0,-2

The triangles shown are congruent. Find the measure of angle P.



Will give brainliest if possible!!

Answers

Answer:

43

Step-by-step explanation:

on the shape to the right angle k looks similar to angle p and we know angle p is accute making it less than 90

43 because angles k and p are congruent so they are equal which means the answer is 43

Negative decimals on a number line 4

Answers

Answer:

b

Step-by-step explanation:

its closest to -.9 so it has to be that one

The answer is b due to the fact

Data Management probability Help Pls

Answers

Rolling a dice and landing on a number less than 3: 2/6 or 1/3

Getting heads: 1/2

Getting a 7 in a deck on cards: 4/52 or 2/26 or 1/13

Answer:

Step-by-step explanation:

A rectangular prism with a volume of 4 cubic units is filled with cubes with side-lengths of 1/3 unit. How many 1/3 cubes does it take to fill the prism? PLEASE I NEED TO FINISH STUDYING! PLEASE SOMEONE HELP BEFORE 6:15!!! I WILL CROWN BRAINLIEST WHO ANSWERS FIRSTTTTT

Answers

Answer: 192 cubes

Step-by-step explanation:

You would divide 3 cubic units by 0.015625 cubic units

(9x^3+2x^2-5x+4) - (5x^3-7x+4) Show your work.

Answers

9x^3 - 5x^3 = 4x^3

2x^2 doesn’t substitute with anything

-5x - (-7x) = -5x + 7x = 2x

4 - 4 = 0

Reminders

4x^3 + 2x^2 +2x

If you have have to simplify

2(2x^3 +x^2 +x)

Help me with this answer you have to answer 2 questions but you get
80 points if answered right

Answers

Answer:

1. Sample answer

2. Sample answer

They are already answered

Step-by-step explanation:

can you help with this thank you

Answers

Answer:

(5, 21)

Step-by-step explanation:

hope this helps :)

State the reason why K = M

Given:

KLMN is a parallelogram.

Answers

Answer:

They both are a 90 degree angle.

For the parallelogram KLMN, opposite angles K and M are equal.

What is Parallelogram?

Parallelogram are type of quadrilateral in two dimensional geometry which has four sides, four vertices and four angles where opposite sides are equal. They also have the two pairs of sides parallel to each other. These sides are opposite sides.

The sum of the adjacent angles of the parallelogram is equal to 180 degrees and the sum of all angles is equal to 360 degrees. Also the opposite angles are equal.

Given that KLMN is a parallelogram.

Here K and M are opposite vertices and also L and N are opposite vertices.

In a parallelogram, we know that measure of opposite angles will be equal. So here, measure of angles K and M are equal.

Therefore, since angles K and M are opposite angles of the parallelogram, they are equal.

To learn more about Parallelogram, click on the link given below :

https://brainly.com/question/29147156

#SPJ2

can yall help me solve this please lol

Answers

Answer:

4). 3

5). 600

Step-by-step explanation:

formula of finding intrest earned is (p×r×t)/100

by putting this formulae____

( HERE p means principal , r means rate , t means time )

(p×r×t) /100= interest

(480×r×5) / 100=100.80

(336×r) / 100 = 100.80

336×r= 100.80×100

r= (100.80×100)/336

r=3

5). (p×r×t)/100=interest

(p×4×5) /100 = 120.00

p×4×5 = 120.00×100

p= 12000 / 4×5

P=12000/20

P=600

A lasagna has a mass of 6 pounds. The lasagna is cut into 12 equal pieces What is the mass of each piece in ounces?

A. 8 ounces
B. 10 ounces
C 12 ounces
D 14 ounces

show your work

Answers

The answer is A your welcome
Ik this cause I took the test

someone help me with this. i’ll give you brainlist or whatever just help

Answers

(-2,-1)
(-1,0)
(0,1)
(1,1)
(2,2)

Yes it’s linear

Hope this helped

4x-14=2x please solve need help

Answers

Answer:

7

Step-by-step explanation:

1. Subtract the 4x on both sides = -14 = -2x

2. Divide -2 on both sides to get -14/-2 = x

3. -14/-2 = 7 so 7 = x

help me please :) thanks.

Answers

Answer:

.25 or 1/4

Step-by-step explanation:

if you make the 3 a fraction then you can do cross cancelling and multiply or just multiply then simplify

.25 or 1/4 i think sorry if it's wrong but i think i'm right
Other Questions
The cells in the gastric mucosa near the openings of the gastric pits largely specialize in secreting __________. A new board game comes with a deck of 20 cards: 5 red, 3 blue, 2 orange, and 10 green.After the deck is shuffled, the player is to choose the top card and note its color, replacethe card, shuffle the deck again, and then choose the top card again and note its color.What is the probability that both cards selected are blue?A.3%B.2.25%C.9%D.6.25% what is the meaning of friends (20 points!)In order to survive, animals need to adapt to their environment over many generations. Think about your favorite animal, its physical features, and its environmental challenges. Without doing any outside research, in 3-5 sentences, try to: a) describe what features have likely had to adapt to its environment over time, and b) hypothesize what ways it might have to adapt to environmental changes in the future. Explain the historical reason why Portuguese is the official language of countries that are so geographically distant PLEASE HELP ME OUT AND PLEASE 2x+5y < 19 and x-2y what were the major developments associated with the german nationalism Rabina went to the rivers __ she didnot fetch the water. What is the goal of the Economic and Social Council?a.to promote economic and social cooperation between the countries of the UNc.to promote economic and social advancements in all countriesb.to promote economic and social cooperation globallyd.to promote economic and social advance in countries belonging to the UN Giving Brainliest!Wetlands filter and clean water flowing through them. In the system shown in the diagram, the wetland cleans water entering the ocean by which means?A: Run-offB: PrecipitationC: EvaporationD: Condensation Answer the following question in 3-4 complete sentences. the method used by the ancient egyptians to build the pyramids of giza is still a mystery to both archeologists and historians. describe at least two theories of how the egyptians moved the 2.5 ton stones into place. Which of the statements clearly demonstrates that total factor productivity is increasing? Assume the aggregate production function is upward sloping and exhibits diminishing returns.Real GDP per worker grows at the same rate as human capital per worker.Physical capital per capita, human capital per capita, and real GDP per capita remain constant.The size of the labor force falls due to emigration which leads to a decrease in real GDP and human capital per worker. Real GDP per worker remains unchanged and physical capital per worker increases.Physical capital per worker and human capital per worker decrease, but real GDP per worker remains unchanged. Please help EDGINUITY 2022 What do the dots within a lewis of a bonded molecule represent? is ironing clothes conduction, convection or radiation What is a value which we pass to the function to use in place of the parameter when we call it?A. ParameterB. CallC. ProcedureD. Argument Who was the first to make accurate observations without a telescope of our solar system? Function g is represented by the table. x -1 0 1 2 3 4 g(x) 24 6 0 -2 Which statement correctly compares the two functions? A. They have the same end behavior as x approaches - but different end behavior as x approaches . B. They have different end behavior as x approaches - and different end behavior as x approaches . C. They have different end behavior as x approaches - but the same end behavior as x approaches . D. They have the same end behavior as x approaches - and the same end behavior as x approaches . what is the second major event that happened in the middle of The Secret Garden? HELP