Cubes

Help Questions

ACT Math › Cubes

Questions 1 - 10
1

Find the volume of a cube with side length 10.

Explanation

To find volume, simply cube the side length. Thus,

2

Find the surface area of a cube with side length .

Explanation

To solve, simply multiply the face area by . Thus,

3

Find the surface area of a cube with side length .

Explanation

To solve, simply multiply the face area by . Thus,

4

Find the surface area of a cube whose side length is .

Explanation

To find surface area of a cube, simply calculate the area of one side and multiply it by . Thus,

5

Find the volume of a cube given side length is .

Explanation

To solve, simply cube the side length. Thus,

6

Find the volume of a cube with side length 10.

Explanation

To find volume, simply cube the side length. Thus,

7

Find the volume of a cube given side length is .

Explanation

To solve, simply cube the side length. Thus,

8

Given the volume of a cube is , find the side length.

Explanation

To find side length, simply realize that volume is the side length cubed. Thus,

9

Given the volume of a cube is , find the side length.

Explanation

To find side length, simply realize that volume is the side length cubed. Thus,

10

If the surface area of a cube equals 96, what is the length of one side of the cube?

4

3

6

5

Explanation

The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube.

We have 96 = 6a2 → a2 = 16, so that's the area of one face of the cube.

Solving we get √16, so a = 4

Page 1 of 7