Mastering Square & Cube Roots: Word Problems Challenge

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

• 16 meters

• 14 meters

• 12 meters

• 10 meters

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

• 10 centimeters

• 7 centimeters

• 5 centimeters

• 3 centimeters

The area of a square playground is 256 square feet. How long is each side of the playground?

• 16 feet

• 14 feet

• 20 feet

• 12 feet

A storage unit is in the shape of a cube with a volume of 729 cubic feet. What is the length of one side of the unit?

• 12 feet

• 15 feet

• 6 feet

• 9 feet

If the side length of a square is doubled, how does the area change? Explain using square roots.

• The area increases by a factor of 4.

• The area increases by a factor of 8.

• The area decreases by a factor of 2.

• The area remains the same.

A square tile has a side length of 10 cm. If you want to find the diagonal length, what is the formula you would use, and what is the diagonal length?

• 14.14 cm

• 10.00 cm

• 15.00 cm

• 12.00 cm

A cube has a volume of 343 cubic inches. What is the length of one side of the cube?

• 7 inches

• 8 inches

• 6 inches

• 5 inches

The area of a square field is 1,600 square meters. If you want to fence the field, how many meters of fencing do you need?

• 200 meters

• 120 meters

• 140 meters

• 160 meters

If the volume of a cube is 1,000 cubic centimeters, what is the length of one side?

• 15 centimeters

• 20 centimeters

• 10 centimeters

• 5 centimeters

A square has a perimeter of 48 meters. What is the length of one side, and what is the area of the square?

• Length of one side: 8 meters, Area: 64 square meters

• Length of one side: 10 meters, Area: 100 square meters

• Length of one side: 12 meters, Area: 144 square meters

• Length of one side: 14 meters, Area: 196 square meters