a candy bar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters. a triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm. part a: what is the height of the base? show your work.

Answers

Answer 1

The height of the box is 12cm, having volume = 1200cm ³ .

What is the volume of triangular prism?

A triangular prism's volume is the area that it takes up in all three dimensions. A prism is a solid object that has the same cross-section throughout its entire length, equal bases, and flat, rectangular side faces. Prisms can be divided into many categories and given different names depending on the form of their bases. A triangular prism has three rectangular lateral sides and two identical triangular bases.

The formula yields the volume of a triangular prism.

Volume of triangular prism  = 1/2lwh

Where,

w = width

h = height

l = length.

We may determine the height by filling in the specified measurements.

1200cm ³ = 1/2 × (20 cm) × (10 cm) × h

h = (1200 cm³) / (100 cm²))

h = 12 cm

The box has a 12 centimeter height.

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Related Questions

What's 11,000lb in tons​

Answers

5.5 tons

(Blank space filler)

Step-by-step explanation:

What's 11,000lb in tons

it 5.5 us tone

-4/-9, 11/12, -21/-18, 1/6 in ascending order. i really need this answerr please

Answers

Ascending order is 1/6< -4/-9< 11/12 < -21/ -18.

Here the fraction is -4/-9, 11/12, -21/-18, 1/6.

To know write the fraction in its ascending form, and convert the fraction into it's decimal form.

Therefore we have,

-4/-9 = 4/9 = 0.44

11/12 = 0.916

-21/-18 = 21/18 = 7/ 6 = 1.16

1/6 = 0.16

Therefore ascending order is 0.16< 0.44< 0.916 < 1.16. That is 1/6< -4/-9<11/12 < -21/-18.

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What is the midpoint of the segment shown below?

Answers

Answer:

A. 5, 1/2

Midpoint formula: (x1+x2)/2, (y1+y2)/2

5 + 5 / 2 = 5

4 + -3 / 2 = 0.5

therefore it is

(5, 1/2)

Which region represents the solution to the given system of inequalities?
[x < -1/2 x
v≥ 2x+3
B
-5-4-3
C
5
4
3
-
-1₁
L2
-3-
4
-5
D
A
-2 3
4
5 X

Answers

Answer:

أنا بصراحة لا أعرف

Step-by-step explanation:

[x < -1/2 x

v≥ 2x+3

B

-5-4-3

C

5

4

3

-

-1₁

L2

-3-

4

-5

D

A

-2 3

4

Twelve buckets of water are needed to fill a small swimming pool. there are approximately 3.8 liters in 1 gallon. if each bucket holds 1.5 gallons, what is the volume of water, in liters, the pool holds?

Answers

Answer:68.4 liters

Step-by-step explanation:  1.5x12=18 18x3.8=68.4

hi pls help i do not understand

Answers

Answer: A & D

Step-by-step explanation:

A & D both are correct

Only option D is correct. Because all other option have their negative signs incorrectly placed.Only d amounts to 4/5

Awnser oooooopppndhdhdh

Answers

Answer:

x<212

Step-by-step explanation:

Because < means that x is less than 212

Solve for X I need help please

Answers

Answer:

15

Step-by-step explanation:

The plane is 180 degrees, all you need to do is subtract 60 then divide the answer by 8.

(180-60)/8=15

This is 7th grade math bro

How many sisters does Carly have

Answers

Answer:

she has 2 sisters; lucy simon and joanna simon

Step-by-step explanation:

find the slope-intercept form of the equation of the line that has the given slope and passes through the given point

Answers

Answer: you didn't give me any numbers, so I can't give you an answer. But, I can help!

The slope intercept form is Y=mx+b

X and Y are your coordinates

m is the slope

b is the y-intercept.

As long as you know two of those, you can solve for the missing variable.

I hope this helps!!!

Is the question ''how many cars were sold each day this month'' statistical or not?

Answers

Yes it is because you would need to get data in order to find out how many cars were sold

i don’t know what to do

Answers

Answer:

Step-by-step explanation:

If the problem is (-7)^2 then you multiply -7 *-7

If the problem is -(7) ^2 then you multiply -1*7*7

Answer: FALL OUT OF THE TREE

2. Ms. B and Ms. D are writing problems for an algebra book. Ms. B started with ten problems already written, and she can write six problems an hour. Ms. D had
no problems written, but she writes ten problems an hour. When will Ms. D have the same number of problems written as Ms. B? How many problems will they
each have written at that time?

Answers

The time when they will both have written the same number of problems is 2.5 hours.

The problems they would have written is 25.

When would they have written the same number of problems?

The first step is to formulate an equation that represents the number of problems that Ms. B and Ms. D can write in an hour.

Problems Ms. B can write in an hour = 10 + 6h

Problems Ms. D can write in an hour = 10h

Where h represents the number of hours

When Ms. B and Ms. D have written the same number of problems, the two above equations would be equal:

10 + 6h = 10h

In order to determine the value of h, take the following steps:

Combine similar terms : 10 = 10h - 6h

Add similar terms: 10 = 4h

Divide both sides by 4 : 10 / 4

h = 2.5 hours

The number of problems they would have written in 2.5 hours : 10 x 2.5 = 25 problems

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PLEASE HELP DONT JUST TAKE MY POINTS I DONT KNOW THIS PLEASSE ASAP
explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.

Question:
Evelyn has some paracord with a total length of 5-½ meters. She needs to cut the cord into 12 equal portions. What is the length of each piece written as a fraction? Is this value rational or irrational; why?

Answers

Answer:11/24

Step-by-step explanation:

5 1/2 divided by 12 equals 11/24

Given y = 6x + 7, what is the value of y when x = -3?

Answers

Answer:

y=-11

Step-by-step explanation:

Answer:

y = - 11

Step-by-step explanation:

y=6x+7
y=6*(-3)+7
y=-18+7
y=-11

Abdoulaye is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he rolls a fair die in the shape of a cube that has six sides labeled 1 to 6 and spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange?​

Answers

The number of different possible outcomes is 24

How to determine the number of different possible outcomes?

The given parameters are:

Fair die = 6 sides

Spinner = 4 sections

The number of different possible outcomes is calculated using

Outcomes = Fair die * Spinner

This gives

Outcomes = 6 * 4

Evaluate

Outcomes = 24

Hence, the number of different possible outcomes is 24

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Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.
Conclusion: Dante obtained a part-time job.

Answers

The given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.

What are statements and conclusions?

Logical reasoning essentially consists of a statement and a conclusion. In this part, a claim and several inferences will be made. It is necessary to select the statement's logically following conclusion.

Given that If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.

Conclusion: Dante obtained a part-time job.

From the given statement it is concluded that Dante obtained a part-time job which means that he is financially stable now to pay for the car.

Therefore, the given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.

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Consider the number 7,123,456.
a. Approximate the number by rounding to the nearest million.

Answers

Approximating 7,123,456 by rounding to the nearest million will be 7,000,000.

What is approximation?

Anything similar to something else but not precisely the same is called an approximation. By rounding, a number can be roughly estimated. By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.

If you want to round to one or two decimal places, look at the digit immediately following the decimal point. To the right of the necessary place value digit, draw a vertical line. Observe the following digit. Increase the preceding digit by one if the following digit is 5 or higher.

Therefore, approximating 7,123,456 by rounding to the nearest million will be 7,000,000.

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g(x)= x²-x-12/x²-4x+4

find g(2)​

Answers

Step-by-step explanation:

g(2)=((2)²-2-12)/((2)²-4(2)+4)

=4-2-12/4-8+4

=-10/0=undefined

what is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex q is on ordered pair 1 and 6, and the vertex r is on ordered pair 4 and 2.

Answers

The area of a triangle with the given set of vertices is 12 square units, which is obtained using the concepts of coordinate geometry and the area of triangles.

What is the area of a triangle?

The area of a triangle is defined as the total region bounded by the three sides of a triangle. For a right-angled triangle, the area is given by ½ * (base * height).

Calculation of the area of the given triangle

Given:

P(7,6), Q(1,6), R(4,2) be the three vertices of a triangle PQR

Let PQ be the base parallel to the x-axis

b = 7 - 1 = 6

And altitude is the difference of y coordinates of the point Q and R, h = 6 - 2 = 4

The area of triangle PQR is equal to half the product of base and height

Area = (6 × 4) / 2

        = 24 / 2

        = 12 square units

Hence, the area of the triangle with given vertices is 12 square units.

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A parallelogram has a base of 3 inches and a height of 7 inches. What is its area?

Answers

Answer:

21 cm square

Step-by-step explanation:

Base x Height = Area

Area = 3 x 7 = 21 cm square.


I need help badly please help

Answers

Step-by-step explanation:

these are the answers. ignore the scribbles :)

find the domain rang and function

Answers

Answer:1,1 0

Step-by-step explanation:

write an equation of the line containing the given point and parallel to the given line. express your answer in the form ymxb. ​(​,​); xy

Answers

Answer:

cool cool

Step-by-step explanation:

cool

A heap of sand in the form of a square based pyramid is twice as tall as it is wide. If the volume, V, of the sand is 10 m3, find the height, h, of the heap. Give your answer, in metres, correct to two decimal places.

Answers

The height of the prism is 4.93 meter with a square base and having a volume of 10 m³

How to solve volume

Volume is the amount of space occupied by a three dimensional shape or object. Examples of shape with volume are cone, cube, cuboid, pyramid, prism and so on.

The volume of a pyramid = (1/3) * base area * height

Let base = b

height = 2 * base = 2b

Since volume is 10 m³, hence:

10 = (1/3) * b * b * 2b

b = 2.47 m, h = 2(2.47) = 4.93 m

The height of the prism is 4.93 meter with a square base and having a volume of 10 m³

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Convert 30 kilograms into gram

Answers

multiply the mass value by 1000. the answer is 30000

Traveling at an average rate of between 40 and 50 miles per hour for 3 to 4 hours, select the best estimate for the distance traveled.

Answers

Answer:

Step-by-step explanation:

Take average speed to be (40+50)/ 2 = 45 mph.

Then estimate of distance travelled

= 45 * 3.5

= 160  miles.

3÷4 1/2




I'm trying to learn math easyer then how they teach in class_school

Answers

Answer:

3÷4= 0.75 then,

1/2=0.5

Step-by-step explanation:

Hope it was helpful.

what is the volume of a circle with a diameter of 2 inches

Answers

Answer:

Volume = 4  πr3 3=  4 ×π×43 3

=  268.08257310633 feet3

Step-by-step explanation: I really hope this helps please let me know if i am wrong hope u have a good day (:

2.
To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for
each hour of labor.
y (dollars)
4,000
3,000
2,000
1,000
10
20
30 40 50
x (hours)
1. How much would the painting company charge to paint a house that needs
20 hours of labor? A house that needs 50 hours?
Scom
60
2. Draw a line representing the relationship between x, the number of hours it
takes the painting company to finish the house, and y, the total cost of
painting the house. Label the two points from the earlier question on your
graph.
3. Find the slope of the line. What is the meaning of the slope in this context?

Answers

Using a linear function, it is found that:

1. The company would charge $1,500 for 20 hours of labor and $3,000 for 50 hours of labor.

2. The graph is given at the end of the answer.

3. The slope of 50 means that the cost of each additional hour of labor is of $50.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

The flat rate is the intercept.The cost per hour is the slope.

Hence the charge for x hours of labor is given by the following function:

C(x) = 50x + 500.

Then:

C(20) = 50(20) + 500 = $1500.C(50) = 50(50) + 500 = $3000.

The company would charge $1,500 for 20 hours of labor and $3,000 for 50 hours of labor.

The slope of 50 means that the cost of each additional hour of labor is of $50.

The graph with the two points from item a labeled is given at the end of the answer.

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