Mastering Roots and Squares: Word Problems & Perfect Squares

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

• 14 meters

• 16 meters

• 12 meters

• 10 meters

If a cube has a volume of 125 cubic meters, what is the length of one edge of the cube?

• 7 meters

• 10 meters

• 5 meters

• 3 meters

A rectangular swimming pool is 10 meters long and 6 meters wide. If the pool is filled to a depth of 2 meters, what is the volume of water in cubic meters? (Hint: Use the formula for volume of a rectangular prism)

• 120 cubic meters

• 100 cubic meters

• 80 cubic meters

• 60 cubic meters

The area of a square plot of land is 256 square feet. What is the length of each side of the plot?

• 12 feet

• 16 feet

• 20 feet

• 14 feet

A box has a volume of 343 cubic centimeters. What is the length of one side of the box if it is a cube?

• 10 cm

• 8 cm

• 7 cm

• 5 cm

If the square root of a number is 9, what is the number?

• 100

• 72

• 45

• 81

A farmer has a square field with an area of 81 acres. How long is each side of the field?

• 12 acres

• 10 acres

• 9 acres

• 8 acres

The volume of a cube is equal to the cube of its edge length. If the edge length is 4 cm, what is the volume of the cube?

• 32 cm³

• 80 cm³

• 64 cm³

• 48 cm³

If the area of a square is 64 square inches, what is the length of one side?

• 10 inches

• 12 inches

• 8 inches

• 6 inches

A cube has a volume of 512 cubic inches. What is the length of one side of the cube?

• 8 inches

• 12 inches

• 10 inches

• 6 inches