Perfect Squares & Cubes: Exponents and Roots Challenge

A garden is shaped like a square with a side length of 6 meters. What is the area of the garden in square meters?

• 24 square meters

• 18 square meters

• 30 square meters

• 36 square meters

If a cube has a volume of 27 cubic meters, what is the length of one side of the cube?

• 2 meters

• 4 meters

• 3 meters

• 5 meters

A square tile has an area of 64 square centimeters. What is the length of one side of the tile?

• 6 centimeters

• 10 centimeters

• 8 centimeters

• 12 centimeters

If you have a cube with a side length of 4 cm, what is the volume of the cube?

• 80 cm³

• 48 cm³

• 64 cm³

• 32 cm³

A box is in the shape of a cube and has a volume of 125 cubic inches. What is the length of one edge of the box?

• 3 inches

• 10 inches

• 7 inches

• 5 inches

The area of a square playground is 144 square meters. What is the length of one side of the playground?

• 12 meters

• 10 meters

• 14 meters

• 16 meters

If a cube has a volume of 512 cubic feet, what is the cube root of the volume?

• 10

• 6

• 8

• 12

A square has a perimeter of 36 meters. What is the area of the square?

• 100 square meters

• 72 square meters

• 64 square meters

• 81 square meters

If you raise 2 to the power of 3, what is the result? How does this relate to the volume of a cube with a side length of 2?

• 4

• 6

• 8

• 10

A square garden has an area of 100 square feet. If you want to double the area, what will be the area of the new garden?

• 100 square feet

• 200 square feet

• 250 square feet

• 150 square feet