Mathematics Form 1 Chapter 3 – Cubes and Cube Roots

What is the cube of 3?

• 18

• 27

• 8

• 12

Answer explanation

The cube of 3 is calculated by multiplying 3 by itself three times, which results in 27. Therefore, the correct answer is 27.

Calculate the cube root of 64.

• 8

• 10

• 4

• 6

Answer explanation

The cube root of 64 is 4 because 4 * 4 * 4 = 64. Therefore, the correct answer is 4.

If a cube has a volume of 125 cubic units, what is the length of each side?

• 6

• 8

• 3

• 5

Answer explanation

To find the length of each side of a cube with volume 125 cubic units, we need to calculate the cube root of 125, which is 5. Therefore, the length of each side is 5 units.

Solve for x: x^3 = 27

• x = 5

• x = 3

• x = 6

• x = 4

Answer explanation

To solve for x, take the cube root of both sides: x = 3. Therefore, x = 3 is the correct answer choice.

What is the result of (-4)^3?

• 81

• -64

• 256

• -16

Answer explanation

The result of (-4)^3 is -64. When a negative number is raised to an odd power, the result is negative. Therefore, (-4)^3 = -64.

Find the cube root of 729.

• 12

• 8

• 10

• 9

Answer explanation

The cube root of 729 is 9 because 9 * 9 * 9 = 729. Therefore, the correct answer is 9.

What is the cube of 5?

• 25

• 125

• 100

• 30

Answer explanation

The cube of 5 is calculated by multiplying 5 by itself three times, which results in 125. Therefore, the correct answer is 125.

Calculate the cube root of 1000.

• 10

• 20

• 15

• 5

Answer explanation

The cube root of 1000 is 10 because 10 * 10 * 10 = 1000.

If a cube has a surface area of 54 square units, what is the length of each side?

• 8

• 3

• 6

• 4

Answer explanation

To find the length of each side of a cube, we need to calculate the cube root of the surface area. Cube root of 54 is 3, so each side is 3 units long.

Solve for x: x^3 = 8

• x = 4

• x = -2

• x = 10

• x = 2

Answer explanation

To solve for x, take the cube root of both sides. The cube root of 8 is 2, so x = 2 is the correct answer.