How to find the volume of a cube

Practice Questions

SSAT Upper Level Quantitative (Math) › How to find the volume of a cube

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1

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

2

The length of a diagonal of a cube is . Give the volume of the cube.

3

The length of a diagonal of one face of a cube is . Give the volume of the cube.

4

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

5

A cheese seller has a 2 foot x 2 foot x 2 foot block of gouda and she wants to cut it into smaller gouda cubes that are 1.5 inches on a side. How many cubes can she cut?

6

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

cubic meter = liters.

7

An aquarium is shaped like a perfect cube; the area of each glass face is 1.44 square meters. If it is filled to the recommended 90% capacity, then, to the nearest hundred liters, how much water will it contain?

Note: 1 cubic meter = 1,000 liters.

8

A cube has six square faces, each with area 64 square inches. Using the conversion factor 1 inch = 2.5 centimeters, give the volume of this cube in cubic centimeters, rounding to the nearest whole number.

9

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

10

The length of a diagonal of one face of a cube is 10. Give the volume of the cube.

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