SSAT Upper Level Math : How to find the volume of a prism

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

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

A given rectangular prism has a length of , a width of , and a height of . What is the volume of the prism?

Possible Answers:

Correct answer:

Explanation:

The volume of a given prism , where  is the base area and  is the height. For a rectangular prism, the base area , or length times width. Therefore:

Substituting in our known values:

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

Find the volume of a circular prism with a base radius of  and a height of .

Possible Answers:

Correct answer:

Explanation:

The volume of a given prism , where  is the base area and  is the height. For a circular prism, the base area , or pi times the square of the radius. Therefore:

Substituting in our known values:

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

A triangular prism has a triangle base length of , a triangle height length of , and a prism height of . What is the volume of the prism?

Possible Answers:

Not enough information provided

Correct answer:

Explanation:

The volume of a given prism , where  is the base area and  is the prism height. For a triangular prism, the base area , where  is the base of the triangle and  is the height of the triangle (not of the prism).

Therefore, we can substitute the base area equation into the equation for the volume of a prism:

Substituting in our known values:

Example Question #5 : Volume Of A Rectangular Solid

A given rectangular prism has a length of , a width of , and a height of . What is the volume of the prism?

Possible Answers:

Correct answer:

Explanation:

The volume  of a rectangular prism is the product of its base area  and its height . Since we can determine the base area of the rectangular prism from its length and width, we can rewrite the equation and solve:

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

A given rectangular prism has a length of , a width of , and a height of , what is its volume?

Possible Answers:

Correct answer:

Explanation:

The volume  of a rectangular prism is the product of its base area  and its height . Since we can determine the base area of the rectangular prism from its length and width, we can rewrite the equation and solve:

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

What is the volume of the shape below? 

Screen shot 2015 07 28 at 3.39.34 pm

Possible Answers:

Correct answer:

Explanation:

The formula for volume of a rectangular prism is 

Remember, volume is always labeled as units to the third power. 

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

What is the volume of the shape below? 

Screen shot 2015 07 28 at 3.47.24 pm

Possible Answers:

Correct answer:

Explanation:

The formula for volume of a rectangular prism is 

Remember, volume is always labeled as units to the third power. 

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

What is the volume of the shape below? 

Screen shot 2015 07 28 at 3.56.22 pm

Possible Answers:

Correct answer:

Explanation:

The formula for volume of a rectangular prism is 

Remember, volume is always labeled as units to the third power. 

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

What is the volume of the shape below? 

Screen shot 2015 07 28 at 3.53.08 pm

Possible Answers:

Correct answer:

Explanation:

The formula for volume of a rectangular prism is 

Remember, volume is always labeled as units to the third power. 

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

What is the volume of the shape below? 

Screen shot 2015 07 28 at 3.50.28 pm

Possible Answers:

Correct answer:

Explanation:

The formula for volume of a rectangular prism is 

Remember, volume is always labeled as units to the third power. 

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