GRE Math : How to find the volume of a prism

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #314 : Geometry

A rectangular prism has a width of 3 units, a length that is twice the width, and a height that is two-thirds the length. What is the volume of the prism?

Possible Answers:

 

 

 

 

Correct answer:

 

Explanation:

Remember, the formula for the volume of a rectangular prism is width times height times length:

Now, let's solve the word problem for each of these values. We know that . If length is double the width, then the length must be 6 units. If the height is two-thirds the length, then the height must be 4:

Multiply all three values together to solve for the volume:

 

The volume of the rectangular prism is  units cubed.

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