Mastering Surface Area and Shape Properties in 3D

A rectangular box has a length of 4 meters, a width of 3 meters, and a height of 2 meters. What is the surface area of the box in square meters?

• 60 square meters

• 52 square meters

• 48 square meters

• 36 square meters

If a cube has a side length of 5 centimeters, what is the total surface area of the cube in square centimeters?

• 100 cm²

• 125 cm²

• 150 cm²

• 200 cm²

A triangular prism has a base area of 12 square inches and a height of 10 inches. What is the surface area of the prism if the lateral area is 60 square inches?

• 100 square inches

• 90 square inches

• 72 square inches

• 84 square inches

A cylinder has a radius of 3 feet and a height of 7 feet. Calculate the surface area of the cylinder in square feet. (Use π ≈ 3.14)

• 188.4 square feet

• 175.2 square feet

• 200.5 square feet

• 150.8 square feet

A gift box is shaped like a cube with a side length of 10 centimeters. If you want to wrap it with paper, how much wrapping paper do you need in square centimeters?

• 1000 cm²

• 500 cm²

• 800 cm²

• 600 cm²

A rectangular garden measures 8 meters by 5 meters. If you want to add a path around the garden that is 1 meter wide, what will be the new surface area of the garden including the path in square meters?

• 60 square meters

• 75 square meters

• 70 square meters

• 50 square meters

A cone has a radius of 4 inches and a height of 9 inches. What is the surface area of the cone in square inches? (Use π ≈ 3.14)

• 200.12

• 120.50

• 150.78

• 174.56

If a rectangular prism has a surface area of 150 square feet and the length is 5 feet and the width is 3 feet, what is the height of the prism in feet?

• 5

• 10

• 12

• 7.5

A swimming pool is in the shape of a rectangular prism with dimensions 10 meters long, 4 meters wide, and 2 meters deep. What is the surface area of the pool in square meters?

• 100 square meters

• 150 square meters

• 120 square meters

• 136 square meters

A box has a surface area of 96 square inches. If the length is 4 inches and the width is 2 inches, what is the height of the box in inches?

• 7

• 5

• 8.5

• 6.67