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

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

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Example Questions

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Example Question #21 :Volume Of A Three Dimensional Figure

The distance from one vertex of a cube to its opposite vertex is one foot. Give the volume of the cube in inches.

Possible Answers:

Correct answer:

Explanation:

Since we are looking at inches, we will look at one foot as twelve inches.

Letbe the length of one edge of the cube. By the three-dimensional extension of the Pythagorean Theorem,

inches.

Cube this sidelength to get the volume:

cubic inches.

Example Question #11 :How To Find The Volume Of A Cube

The distance from one vertex of a perfectly cubic aquarium to its opposite vertex ismeters. Give the volume of the aquarium in liters.

cubic meter =liters.

Possible Answers:

Correct answer:

Explanation:

Letbe the length of one edge of the cube. By the three-dimensional extension of the Pythagorean Theorem,

meters.

Cube this sidelength to get the volume:

cubic meters.

To convert this to liters, multiply by 1,000:

liters.

Example Question #11 :How To Find The Volume Of A Cube

Find the volume of a cube with a side length of.

Possible Answers:

Correct answer:

Explanation:

Write the formula for the volume of a cube.

The correct answer is.

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