Calculating Areas of Cross Sections in 3D Shapes

A cylindrical water tank has a radius of 3 feet. What is the area of the circular cross section of the tank?

• 9π square feet

• 6π square feet

• 12π square feet

• 9 square feet

Tags

CCSS.7.G.B.4

A rectangular prism has a length of 10 cm, a width of 4 cm, and a height of 5 cm. What is the area of the cross section if you cut it parallel to the base?

• 30 cm²

• 20 cm²

• 40 cm²

• 50 cm²

Tags

CCSS.7.G.A.3

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 triangular cross section?

• 8 cm²

• 10 cm²

• 12 cm²

• 15 cm²

Tags

CCSS.7.G.A.3

A cone has a radius of 2 inches and a height of 6 inches. What is the area of the circular cross section at a height of 2 inches from the base?

• 4π/9 square inches

• 8π/3 square inches

• 6π square inches

• 2π square inches

Tags

CCSS.7.G.A.3

A square pyramid has a base side length of 8 m and a height of 10 m. What is the area of the cross section parallel to the base at a height of 4 m?

• 12.8 m²

• 10.24 m²

• 16 m²

• 8 m²

Tags

CCSS.7.G.A.3

A swimming pool is shaped like a rectangular prism with dimensions 12 m by 6 m by 2 m. What is the area of the cross section if you cut it vertically along the length?

• 36 m²

• 12 m²

• 24 m²

• 72 m²

Tags

CCSS.7.G.A.3

A right circular cylinder has a height of 10 cm and a radius of 3 cm. What is the area of the circular cross section at the top?

• 15.70 cm²

• 30.14 cm²

• 28.27 cm²

• 12.56 cm²

A rectangular box has dimensions 5 m by 3 m by 2 m. If you slice the box horizontally, what is the area of the cross section?

• 10 m²

• 12 m²

• 15 m²

• 20 m²

Tags

CCSS.7.G.A.3

A triangular cross section of a park is formed by a base of 10 m and a height of 5 m. What is the area of this cross section?

• 20 m²

• 30 m²

• 25 m²

• 15 m²

Tags

CCSS.6.G.A.1

A tunnel is shaped like a semicircular arch with a radius of 4 m. What is the area of the cross section of the tunnel?

• 6π square meters

• 10π square meters

• 8π square meters

• 12π square meters