Real-Life Radical Expressions: Area, Volume, and Division

A gardener is planting a square garden with a side length of 12√2 meters. What is the area of the garden in square meters?

• 288

• 144

• 256

• 324

A rectangular swimming pool has a length of 10√3 meters and a width of 5√3 meters. What is the area of the pool?

• 100 square meters

• 75 square meters

• 200 square meters

• 150 square meters

If you have 8√5 apples and you want to divide them equally among 4 friends, how many apples does each friend get?

• 4√5

• 2√5

• 8 apples

• 2 apples

A box has a volume of 27√2 cubic meters. If the height of the box is 3√2 meters, what is the area of the base of the box?

• 18 square meters

• 6 square meters

• 9 square meters

• 12 square meters

A triangular park has sides measuring 6√2 meters, 8√2 meters, and 10√2 meters. What is the perimeter of the park?

• 20√2 meters

• 24√2 meters

• 22√2 meters

• 26√2 meters

You have 15√6 meters of ribbon and you want to cut it into pieces of 3√6 meters each. How many pieces can you cut?

• 5

• 6

• 4

• 3

A rectangular field has a length of 9√3 meters and a width of 3√3 meters. What is the perimeter of the field?

• 30√3 meters

• 24√3 meters

• 18√3 meters

• 12√3 meters

If a car travels 4√5 kilometers in 2 hours, what is the average speed of the car in kilometers per hour?

• 3√5 km/h

• 4 km/h

• 5 km/h

• 2√5 km/h

A cube has a volume of 64√3 cubic meters. What is the length of one side of the cube?

• 4

• 5√3

• 4√3

• 3√3

You have 18√2 liters of juice and you want to pour it into bottles that hold 6√2 liters each. How many bottles can you fill?

• 5

• 3

• 2

• 4