Estimating Roots: Real-World Problems with Squares & Cubes

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

• 10 meters

• 14 meters

• 12 meters

• 16 meters

A cube-shaped box has a volume of 125 cubic centimeters. What is the length of one edge of the box?

• 5 centimeters

• 3 centimeters

• 10 centimeters

• 7 centimeters

The area of a square playground is 256 square feet. Estimate the length of one side using a model.

• 12 feet

• 20 feet

• 14 feet

• 16 feet

A swimming pool is in the shape of a cube with a volume of 1,000 cubic meters. What is the length of one side of the pool?

• 20 meters

• 15 meters

• 5 meters

• 10 meters

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

• 6 inches

• 8 inches

• 10 inches

• 12 inches

A cube has a volume of 729 cubic inches. What is the length of one edge of the cube?

• 9 inches

• 12 inches

• 8 inches

• 10 inches

If the area of a square field is 400 square yards, estimate the side length using a number line model.

• 20 yards

• 25 yards

• 30 yards

• 15 yards

A storage container is in the shape of a cube with a volume of 512 cubic feet. What is the length of one side?

• 12 feet

• 10 feet

• 6 feet

• 8 feet

A square plot of land has an area of 1,024 square meters. What is the approximate length of one side?

• 16 meters

• 64 meters

• 40 meters

• 32 meters

A cube has a volume of 343 cubic centimeters. Estimate the length of one edge using a visual model.

• 5 cm

• 7 cm

• 3 cm

• 10 cm