Measuring Lateral Surface Areas of 3D Shapes

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?

• 30π square meters

• 20π square meters

• 45π square meters

• 15π 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

• 96 square meters

• 84 square meters

• 72 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?

• 16π square meters

• 8π√5 square meters

• 12π square meters

• 4π√5 square meters

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

• 30 square meters

• 70 square meters

• 50 square meters

• 90 square meters

A cylindrical storage container has a height of 10 feet and a diameter of 4 feet. What is the lateral surface area of the container?

• 80 square feet

• 100 square feet

• 125.6 square feet

• 150 square feet

Two different cylindrical cans have the same height of 8 inches. One has a radius of 2 inches, and the other has a radius of 3 inches. Compare their lateral surface areas.

• The lateral surface area of the can with radius 3 inches is greater than that of the can with radius 2 inches.

• The lateral surface area of the can with radius 3 inches is half that of the can with radius 2 inches.

• The lateral surface area of the can with radius 2 inches is greater than that of the can with radius 3 inches.

• The lateral surface area of both cans is the same.

A rectangular box has dimensions of 2 meters by 3 meters by 4 meters. What is the lateral surface area of the box?

• 28 square meters

• 32 square meters

• 24 square meters

• 20 square meters

A cone-shaped party hat has a base radius of 3 inches and a height of 6 inches. Calculate the lateral surface area of the hat.

• 18π square inches

• 9π√5 square inches

• 12π square inches

• 6π square inches

A swimming pool is in the shape of a rectangular prism with a length of 10 meters, a width of 5 meters, and a height of 2 meters. What is the lateral surface area of the pool?

• 70 square meters

• 60 square meters

• 50 square meters

• 40 square meters

A tall cylindrical vase has a height of 12 inches and a radius of 4 inches. What is the lateral surface area of the vase?

• 72π square inches

• 48π square inches

• 96π square inches

• 120π square inches