Real-World Surface Area & Volume Challenges for 7th Graders

A rectangular garden measures 10 meters in length, 5 meters in width, and 1 meter in depth. What is the volume of the garden in cubic meters?

• 25 cubic meters

• 30 cubic meters

• 70 cubic meters

• 50 cubic meters

A cylindrical water tank has a radius of 3 meters and a height of 4 meters. Calculate the volume of the tank in cubic meters. (Use π ≈ 3.14)

• 75.36 cubic meters

• 94.20 cubic meters

• 113.04 cubic meters

• 150.72 cubic meters

A box has a length of 2 feet, a width of 3 feet, and a height of 4 feet. What is the surface area of the box in square feet?

• 48 square feet

• 60 square feet

• 36 square feet

• 52 square feet

A swimming pool is 25 feet long, 10 feet wide, and 5 feet deep. What is the volume of the pool in gallons? (1 cubic foot = 7.48 gallons)

• 8000 gallons

• 12000 gallons

• 9350 gallons

• 7500 gallons

A cube has a side length of 6 cm. What is the surface area of the cube in square centimeters?

• 120 cm²

• 216 cm²

• 300 cm²

• 180 cm²

A rectangular prism has a length of 8 inches, a width of 3 inches, and a height of 2 inches. What is the volume of the prism in cubic inches?

• 24 cubic inches

• 48 cubic inches

• 60 cubic inches

• 36 cubic inches

A can of soda has a height of 12 cm and a radius of 4 cm. Calculate the surface area of the can in square centimeters. (Use π ≈ 3.14)

• 350.56 cm²

• 480.00 cm²

• 402.24 cm²

• 250.12 cm²

A fish tank is 2 feet long, 1.5 feet wide, and 1 foot deep. What is the volume of the tank in liters? (1 cubic foot = 28.3168 liters)

• 100.000 liters

• 70.512 liters

• 56.789 liters

• 84.9504 liters

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

• 5

• 12

• 7.5

• 10

A cone has a radius of 2 cm and a height of 6 cm. What is the volume of the cone in cubic centimeters? (Use π ≈ 3.14)

• 12.56 cm³

• 25.12 cm³

• 30.72 cm³

• 18.84 cm³