Real-Life Cross Section Challenges for 8th Graders

A cylindrical water tank has a radius of 3 meters. What is the area of the cross section of the tank when cut horizontally?

• 9 square meters

• 9π square meters

• 12π square meters

• 6π square meters

A rectangular prism has a length of 5 meters, a width of 4 meters, and a height of 3 meters. What is the area of the cross section if it is cut parallel to the base?

• 20 square meters

• 12 square meters

• 15 square meters

• 18 square meters

A cone has a height of 10 meters and a base radius of 4 meters. What is the area of the circular cross section at a height of 5 meters from the base?

• 2π square meters

• 4π square meters

• 8π square meters

• 12π square meters

A triangular prism has a triangular base with a base of 6 cm and a height of 4 cm. What is the area of the cross section if the prism is cut parallel to the base?

• 8 cm²

• 12 cm²

• 10 cm²

• 14 cm²

A swimming pool is in the shape of a rectangular prism with dimensions 10 m by 5 m by 2 m. What is the volume of water in the pool if the cross section is taken at a height of 1 meter?

• 30 m³

• 100 m³

• 20 m³

• 50 m³

A tunnel is shaped like a semicircle with a diameter of 10 meters. What is the area of the cross section of the tunnel?

• 5π square meters

• 25π square meters

• 12.5π square meters

• 10π square meters

A square pyramid has a base side length of 6 meters and a height of 9 meters. What is the area of the cross section parallel to the base at a height of 3 meters?

• 9 square meters

• 4 square meters

• 6 square meters

• 12 square meters

A cylindrical cake has a diameter of 8 inches. What is the area of the circular cross section when the cake is cut in half?

• 24π square inches

• 16π square inches

• 12π square inches

• 32 square inches

A rectangular garden measures 12 meters by 8 meters. If a cross section is taken 2 meters from one end, what is the area of that cross section?

• 96 square meters

• 80 square meters

• 24 square meters

• 48 square meters

A water reservoir is in the shape of a trapezoidal prism with bases of 10 meters and 6 meters, and a height of 4 meters. What is the area of the cross section if it is cut horizontally at a height of 2 meters?

• 16 square meters

• 10 square meters

• 14 square meters

• 12 square meters