ISEE Upper Level Quantitative : How to find the volume of a prism

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

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Example Questions

Example Question #1 : Solid Geometry

A large crate in the shape of a rectangular prism has dimensions 5 feet by 4 feet by 12 feet. Give its volume in cubic yards.

Possible Answers:

Correct answer:

Explanation:

Divide each dimension by 3 to convert feet to yards, then multiply the three dimensions together:

Example Question #1 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

Which is the greater quantity?

(A) The volume of a rectangular solid ten inches by twenty inches by fifteen inches

(B) The volume of a cube with sidelength sixteen inches

Possible Answers:

(A) and (B) are equal

(B) is greater 

It is impossible to determine which is greater from the information given

(A) is greater 

Correct answer:

(B) is greater 

Explanation:

The volume of a rectangular solid ten inches by twenty inches by fifteen inches is 

 cubic inches.

The volume of a cube with sidelength 13 inches is 

 cubic inches.

This makes (B) greater

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