Mastering Surface Area & Volume: Real-World Challenges

A rectangular box has a length of 5 meters, a width of 3 meters, and a height of 2 meters. What is the surface area of the box in square meters?

• 70 square meters

• 50 square meters

• 62 square meters

• 60 square meters

A swimming pool is 10 meters long, 4 meters wide, and 2 meters deep. How many liters of water can the pool hold? (1 cubic meter = 1000 liters)

• 40000 liters

• 60000 liters

• 80000 liters

• 100000 liters

A cylindrical can has a radius of 7 cm and a height of 15 cm. Calculate the volume of the can in cubic centimeters. Use π ≈ 3.14.

• 1800 cm³

• 2307.9 cm³

• 1500 cm³

• 4000 cm³

A gift box is shaped like a cube with each side measuring 4 inches. What is the surface area of the gift box in square inches?

• 64 square inches

• 48 square inches

• 80 square inches

• 96 square inches

A fish tank is 1.5 meters long, 0.5 meters wide, and 0.75 meters high. How many liters of water can it hold? (1 cubic meter = 1000 liters)

• 500 liters

• 750 liters

• 562.5 liters

• 600 liters

A rectangular garden measures 8 feet by 6 feet and is 2 feet deep. What is the volume of the garden in cubic feet?

• 120 cubic feet

• 48 cubic feet

• 72 cubic feet

• 96 cubic feet

A cone has a radius of 3 cm and a height of 9 cm. What is the volume of the cone in cubic centimeters? Use π ≈ 3.14.

• 100.50 cm³

• 27.12 cm³

• 84.78 cm³

• 45.00 cm³

A box has a surface area of 150 square centimeters. If the length is 5 cm and the width is 3 cm, what is the height of the box?

• 7.5 cm

• 3.5 cm

• 5 cm

• 10 cm

A cylinder has a height of 10 inches and a diameter of 4 inches. What is the surface area of the cylinder in square inches? Use π ≈ 3.14.

• 100.32

• 180.84

• 120.56

• 150.72

A rectangular prism has a volume of 120 cubic meters. If the length is 10 meters and the height is 2 meters, what is the width of the prism in meters?

• 5

• 10

• 6

• 8