How to find the volume of a cube

Practice Questions

PSAT Math › How to find the volume of a cube

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1

If a cube has a surface area of , what is the difference between the volume of the cube and the surface area of the cube?

2

If the volume of a cube is 50 cubic feet, what is the volume when the sides double in length?

3

How many smaller boxes with a dimensions of 1 by 5 by 5 can fit into cube shaped box with a surface area of 150?

4

A cube weighs 5 pounds. How much will a different cube of the same material weigh if the sides are 3 times as long?

5

A cube has a volume of \dpi{100} \small 8 cm^{3}. What is the volume of cube with sides that are twice as long?

6

A cube has 2 faces painted red and the remaining faces painted green. The total area of the green faces is 36 square inches. What is the volume of the cube in cubic inches?

7

A cube is inscribed inside a sphere of radius 1 such that each of the eight vertices of the cube lie on the surface of the sphere. What is the volume of the cube?

8

Kim from Idaho can only stack bales of hay in her barn for 3 hours before she needs a break. She stacks the bales at a rate of 2 bales per minute, 3 bales high with 5 bales in a single row. How many full rows will she have at the end of her stacking?

9

If a waterproof box is 50cm in length, 20cm in depth, and 30cm in height, how much water will overflow if 35 liters of water are poured into the box?

10

If a cube has its edges increased by a factor of 5, what is the ratio of the new volume to the old volume?

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