Surface Area Adventures: Calculating Nets of Solids

A rectangular box has a length of 10 cm, a width of 5 cm, and a height of 4 cm. What is the total surface area of the box?

• 200 cm²

• 250 cm²

• 220 cm²

• 180 cm²

You have a triangular prism with a base area of 12 cm² and a height of 10 cm. If the prism has two triangular bases and three rectangular faces, what is the total surface area?

• Total Surface Area = 120 cm²

• Total Surface Area = 36 cm² + P * 5

• Total Surface Area = 60 cm² + P * 15

• Total Surface Area = 24 cm² + P * 10 (where P is the perimeter of the triangular base)

A cylinder has a radius of 3 cm and a height of 7 cm. Calculate the total surface area of the cylinder using its net.

• 175.5 cm²

• 200.0 cm²

• 188.4 cm²

• 150.6 cm²

A cube has a side length of 6 cm. What is the total surface area of the cube?

• 300 cm²

• 180 cm²

• 216 cm²

• 120 cm²

You are designing a gift box in the shape of a rectangular prism with dimensions 8 cm by 4 cm by 3 cm. What is the total surface area of the gift box?

• 144 cm²

• 120 cm²

• 136 cm²

• 96 cm²

A cone has a radius of 2 cm and a slant height of 5 cm. What is the total surface area of the cone?

• 50.24 cm²

• 36.00 cm²

• 30.14 cm²

• 43.96 cm²

A square pyramid has a base length of 4 cm and a height of 6 cm. Calculate the total surface area of the pyramid using its net.

• 16 + 16√10 cm²

• 24 cm²

• 20 cm²

• 32 + 8√2 cm²

You have a net of a rectangular prism that consists of 2 rectangles of 5 cm by 3 cm and 4 rectangles of 5 cm by 4 cm. What is the total surface area of the prism?

• 110 cm²

• 120 cm²

• 100 cm²

• 90 cm²

A sphere has a radius of 5 cm. What is the total surface area of the sphere?

• 250 cm²

• 400 cm²

• 150 cm²

• 314 cm²

You are creating a model of a house that is a rectangular prism with a triangular roof. If the base of the house is 10 m by 8 m and the height of the roof is 5 m, what is the total surface area of the house?

• 180 m²

• 250 m²

• 230 m²

• 200 m²