Estimating and Converting Square & Cube Roots Quiz

A square garden has an area of 144 square meters. What is the length of one side of the garden? Estimate the square root before calculating.

• 10 meters

• 12 meters

• 14 meters

• 16 meters

A cube has a volume of 125 cubic meters. What is the length of one edge of the cube? Use the cube root to find your answer.

• 7 meters

• 10 meters

• 3 meters

• 5 meters

If the square root of a number is 9, what is the number? Show how you convert between the square root and exponent form.

• 90

• 81

• 72

• 64

A rectangular swimming pool has a length of 20 meters and a width that is the square root of 100 square meters. What is the width of the pool?

• 5 meters

• 12 meters

• 15 meters

• 10 meters

The volume of a box is 512 cubic centimeters. If the box is a cube, what is the length of one side? Estimate the cube root first.

• 8 cm

• 10 cm

• 6 cm

• 12 cm

A square plot of land has a perimeter of 40 meters. What is the area of the plot? Use the square root to find the side length first.

• 60 square meters

• 80 square meters

• 120 square meters

• 100 square meters

If the cube root of a number is 4, what is the number? Explain how to convert this to exponent form and calculate the answer.

• 27

• 81

• 64

• 16

A square tile has an area of 64 square inches. How long is one side of the tile? Estimate the square root before solving.

• 12 inches

• 6 inches

• 10 inches

• 8 inches

The height of a cube is 3 times the cube root of its volume. If the volume is 729 cubic inches, what is the height of the cube?

• 9 inches

• 18 inches

• 36 inches

• 27 inches

A square's area is represented by the expression x^2. If x is 12, what is the area? Convert the expression to find the area using square roots.

• 1440

• 144

• 120

• 100