Geometry Challenges: Lateral Surface Area Word Problems

A cylindrical water tank has a radius of 3 meters and a height of 5 meters. What is the lateral surface area of the tank?

• 45π square meters

• 20π square meters

• 15π square meters

• 30π square meters

A rectangular prism has a length of 4 meters, a width of 3 meters, and a height of 6 meters. Calculate the lateral surface area of the prism.

• 60 square meters

• 84 square meters

• 72 square meters

• 96 square meters

A cone has a radius of 2 meters and a height of 4 meters. What is the lateral surface area of the cone?

• 2π√5 square meters

• 6π square meters

• 8π square meters

• 4π√5 square meters

A square pyramid has a base edge of 5 meters and a height of 7 meters. Find the lateral surface area of the pyramid.

• 74.3 square meters

• 80 square meters

• 60 square meters

• 50 square meters

A cylindrical can has a height of 10 inches and a diameter of 6 inches. What is the lateral surface area of the can?

• 30π square inches

• 60π square inches

• 80π square inches

• 40π square inches

A rectangular box has dimensions of 8 cm by 5 cm by 10 cm. Calculate the lateral surface area of the box.

• 300 cm²

• 260 cm²

• 200 cm²

• 240 cm²

A traffic cone has a base radius of 1.5 feet and a height of 3 feet. What is the lateral surface area of the cone?

• 12.56 square feet

• 9.42 square feet

• 17.67 square feet

• 25.13 square feet

A prism has a base that is a triangle with a base of 6 cm and a height of 4 cm, and a height of the prism of 10 cm. What is the lateral surface area of the prism?

• 172.1 cm²

• 120 cm²

• 150 cm²

• 200 cm²

A cylindrical storage tank has a radius of 4 feet and a height of 12 feet. What is the lateral surface area of the tank?

• 120π square feet

• 96π square feet

• 48π square feet

• 72π square feet

A rectangular prism has a length of 10 meters, a width of 4 meters, and a height of 3 meters. What is the lateral surface area of the prism?

• 72 square meters

• 100 square meters

• 60 square meters

• 84 square meters