Mathorio
Worksheet
Surface Area Word Problems
Name:
Class:
Date:
Show your work for each problem.
- 1.A shoe box has the shape of which 3D figure?
- a)Cone
- b)Rectangular prism
- c)Sphere
- d)Cylinder
- 2.A basketball is best represented by which 3D shape?
- a)Pyramid
- b)Cylinder
- c)Cube
- d)Sphere
- 3.A cube has edges of 5 cm. What is its surface area in cm²?
- 4.A sphere has a diameter of 10 cm. What is its radius in cm?
- 5.When buying paint for a project, if you calculate you need 8.3 cans, how many should you buy?
- a)8.3 cans
- b)10 cans
- c)8 cans
- d)9 cans
- 6.A gift box is 20 cm long, 15 cm wide, and 10 cm tall. How much wrapping paper is needed to cover it?
- 7.A sphere has a radius of 7 cm. Using , what is the surface area? (Round to the nearest whole number)
- 8.A cylindrical can has a radius of 4 cm and a height of 12 cm. Find the surface area using . (Round to the nearest whole number)
- 9.A painter needs to paint a room that is 5 m long, 4 m wide, and 3 m tall. If she only paints the walls (not floor or ceiling), what is the surface area?
- a)54 m²
- b)74 m²
- c)94 m²
- d)40 m²
- 10.A square pyramid has a base edge of 6 cm and a slant height of 5 cm. What is the total surface area?
- 11.A cone has a radius of 3 cm and a slant height of 5 cm. Using , find the surface area. (Round to nearest whole number)
- 12.A warehouse needs to be painted. It is 20 m long, 15 m wide, and 8 m tall. If one can of paint covers 40 m², how many cans are needed to paint all walls and roof (not the floor)?
- 13.A water tank is a cylinder with radius 3 m and height 10 m. Only the lateral surface (curved part) needs to be painted. Using , how many square meters need painting? (Round to nearest whole number)
- 14.A globe has a diameter of 30 cm. Fabric to cover it costs 2 euros per 100 cm². Using , how much will the fabric cost?
- 15.A tent is shaped like a square pyramid with base 4 m × 4 m and slant height 3 m. How much canvas is needed for just the sides (no floor)?
- a)16 m²
- b)48 m²
- c)40 m²
- d)24 m²
- 16.Convert 2.5 m² to cm². (Enter number only)