Surface Area Showdown: Comparing 3D Shapes

A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm. What is its surface area?

• 80 cm²

• 94 cm²

• 60 cm²

• 100 cm²

A cube has a side length of 6 cm. How does its surface area compare to that of a rectangular prism with dimensions 4 cm by 4 cm by 4 cm?

• The surface area of the cube is equal to that of the rectangular prism.

• The surface area of the cube (216 cm²) is greater than that of the rectangular prism (96 cm²).

• The surface area of the cube is less than that of the rectangular prism.

• The surface area of the cube is 96 cm² and the rectangular prism is 216 cm².

A cylinder has a radius of 3 cm and a height of 7 cm. Calculate its surface area and compare it to a sphere with a radius of 3 cm.

• The surface area of the sphere is greater than that of the cylinder.

• The surface area of the cylinder is less than that of the sphere.

• The surface area of the cylinder is equal to that of the sphere.

• The surface area of the cylinder is greater than that of the sphere.

A swimming pool is in the shape of a rectangular prism measuring 10 m long, 5 m wide, and 2 m deep. What is the surface area of the pool?

• 150 m²

• 120 m²

• 200 m²

• 160 m²

A box has a surface area of 150 cm². If the length is 5 cm and the height is 3 cm, what is the width of the box?

• 5 cm

• 4 cm

• 10 cm

• 7.5 cm

A cone has a radius of 2 cm and a height of 6 cm. Calculate its surface area and compare it to a cylinder with the same radius and height.

• The surface area of the cone is 30.14 cm², while the cylinder's surface area is 75.40 cm².

• The surface area of the cone is 50.27 cm², while the cylinder's surface area is 120.56 cm².

• The surface area of the cone is 25.12 cm², while the cylinder's surface area is 90.00 cm².

• The surface area of the cone is approximately 40.84 cm², while the cylinder's surface area is approximately 100.53 cm².

A gift box is shaped like a cube with a side length of 8 inches. If you want to wrap it with paper, how much paper do you need?

• 256 square inches

• 128 square inches

• 512 square inches

• 384 square inches

A rectangular prism has a surface area of 200 cm². If the length is doubled and the width remains the same, how does the surface area change?

• The surface area remains the same at 200 cm².

• The surface area doubles to 400 cm².

• The surface area increases to 300 cm².

• The surface area triples to 600 cm².

A water tank is in the shape of a cylinder with a diameter of 4 m and a height of 10 m. What is the surface area of the tank?

• 75.3 m²

• 150.8 m²

• 200.0 m²

• 120.5 m²

A toy box is shaped like a rectangular prism with dimensions 2 ft by 3 ft by 4 ft. If you want to paint the outside, how much paint will you need to cover the surface area?

• 36 square feet

• 60 square feet

• 48 square feet

• 52 square feet