Intermediate Geometry : How to find the volume of a prism

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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Example Question #1 : How To Find The Volume Of A Prism

A prism with a square base has a height of  feet.

If the edge of the base is  feet, what is the volume of the prism?

Possible Answers:

Correct answer:

Explanation:

The volume of a prism is given as

where

B = Area of the base

and

h = height of the prism.

Because the base is a square, we have

So plugging in the value of B that we found and h that was given in the problem we get the volume to be the following.

Example Question #2 : How To Find The Volume Of A Prism

A rectangular prism has the dimensions of , , and . What is the volume of the prism?

Possible Answers:

Correct answer:

Explanation:

The volume of a rectangular prism is given by the following equation:

In this equation,  is length,  is width, and  is height.

The given information does not explicitly state which side each dimension measurement correlates to on the prism.  Volume simply requires the multiplication of the dimensions together.

Volume can be solved for in the following way:

Example Question #3 : How To Find The Volume Of A Prism

Find the volume of a rectangular prism with a width of , height of  and length of .

Possible Answers:

Correct answer:

Explanation:

The volume of a rectangular prism is given by the following equation:

In this equation,  is length,  is width, and  is height.

Because all the necessary information has been provided to solve for the volume, all that needs to be done is substituting in the values for the variables.

Therefore:

Example Question #4 : How To Find The Volume Of A Prism

Find the surface area of the rectangular prism:

Volume_of_a_prism

Possible Answers:

Correct answer:

Explanation:

The surface area of a rectangular prism is

Substituting in the given information for this particular rectangular prism.

Example Question #5 : How To Find The Volume Of A Prism

A small rectangular fish tank has sides that are  wide,  long, and  high.  Which formula would not work to find the correct volume of the fish tank?

Possible Answers:

Correct answer:

Explanation:

In this question the formula that uses addition will not yield the correct volume of the fish tank:

This is the correct answer because in order to find the volume of any rectangular prism one needs to multiply the prism's length, width, and height together.  

The volume of a rectangular prism is given by the following equation:

In this equation,  is length,  is width, and  is height.

To restate,  is the correct answer because it will NOT yield the correct volume, you would need to multiply  by the product of  and , not add.

 

Example Question #6 : How To Find The Volume Of A Prism

Find the volume of the prism.

1

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of a prism:

Find the area of the base, which is a right triangle.

Now, find the volume of the prism.

Example Question #7 : How To Find The Volume Of A Prism

Find the volume of the prism.

2

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of a prism:

Find the area of the base, which is a right triangle.

Now, find the volume of the prism.

Example Question #8 : How To Find The Volume Of A Prism

Find the volume of the prism.

3

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of a prism:

Find the area of the base, which is a right triangle.

Now, find the volume of the prism.

Example Question #9 : How To Find The Volume Of A Prism

Find the volume of the prism.

4

 

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of a prism:

Find the area of the base, which is a right triangle.

Now, find the volume of the prism.

Example Question #10 : How To Find The Volume Of A Prism

Find the volume of a prism.

5

Possible Answers:

Correct answer:

Explanation:

13

Recall how to find the volume of a prism:

Find the area of the base, which is a right triangle.

Now, find the volume of the prism.

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