Cube Roots and Cubic Functions

This video tutorial covers the concept of cube roots, including their definition, properties, and how to calculate them. It provides examples of finding cube roots of numbers, evaluating expressions with cube roots, and solving equations involving cube roots. Additionally, it explains how to calculate the surface area of a cube given its volume.

What is the cube root of a number 'p'?

• A number whose fourth power is equal to p

• A number whose cube is equal to p

• A number whose square is equal to p

• A number whose square root is equal to p

What is the cube of 4?

• 64

• 32

• 128

• 16

Which number, when cubed, equals 8?

• 4

• 2

• 1

• 3

What is the cube root of -27?

• -1

• -2

• -3

• -4

How do you find the cube root of a fraction like 1/64?

• Cube root of the numerator divided by the cube root of the denominator

• Square root of the numerator divided by the square root of the denominator

• Cube of the numerator divided by the cube of the denominator

• Square of the numerator divided by the square of the denominator

What is the result of 2 times the cube root of -216?

• -18

• -12

• 12

• 18

What is the sum of the cube root of 125 cubed and 21?

• 175

• 150

• 146

• 125

How do you solve an equation of the form x^3 = p?

• By cubing both sides

• By taking the cube root of both sides

• By taking the square root of both sides

• By squaring both sides

What is the side length of a cube with a volume of 125 cubic inches?

• 5 inches

• 6 inches

• 4 inches

• 3 inches

How many square inches of plastic are used to make a cube with a side length of 5 inches?

• 100 square inches

• 125 square inches

• 150 square inches

• 175 square inches