High School Math : How to find the volume of a prism

Study concepts, example questions & explanations for High School Math

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Example Questions

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

Find the volume of the following triangular prism.

Half_box

Possible Answers:

Correct answer:

Explanation:

The formula for the volume of a triangular prism is:

Where  is the length of the triangle,  is the width of the triangle, and  is the height of the prism

Plugging in our values, we get:

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

Find the volume of the following triangular prism.

Half_box

Possible Answers:

Correct answer:

Explanation:

The formula for the volume of a triangular prism is:

Where  is the length of the base,  is the width of the base, and  is the height of the prism

 

Plugging in our values, we get:

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

Find the volume of the following triangular prism:

Triangular_prism

Possible Answers:

Correct answer:

Explanation:

The formula for the volume of an equilateral, triangular prism is:

Where  is the length of the triangle side and  is the length of the height.

 

Plugging in our values, we get:

Example Question #94 : Solid Geometry

What is the volume?

Question_5

Possible Answers:

Correct answer:

Explanation:

The volume is calculated using the equation:

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

A rectangular box has two sides with the following lengths: 

 and

If it possesses a volume of , what is the area of its largest side?

Possible Answers:

21

16

49

28

12

Correct answer:

28

Explanation:

The volume of a rectangular prism is found using the following formula:

If we substitute our known values, then we can solve for the missing side.

Divide both sides of the equation by 12.

We now know that the missing length equals 7 centimeters.

This means that the box can have sides with the following dimensions: 3cm by 4cm; 7cm by 3cm; or 7cm by 4cm. The greatest area of one side belongs to the one that is 7cm by 4cm. 

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