Nets & Surface Area — Worksheet

Nets & Surface Area

Worksheet

Open the Nets & Surface Area module. Set the solid and its dimensions, look at the flat net, then use the Fold slider. The Faces list adds up the areas.

Part A: Faces and nets

1. How many faces does a cube have? Count the pieces in its net. 1 pt
  • 4
  • 6
  • 8
  • 12
2. Set the solid to Cube with side 3. What is the area of one square face? 1 pt
3. A net is made of flat pieces, one per face. What pieces make a net for a rectangular prism? 1 pt
  • 6 rectangles
  • 4 rectangles and 2 triangles
  • 6 triangles
  • 3 rectangles
4. What pieces make a net for a triangular prism? 1 pt
  • 5 rectangles
  • 2 triangles and 3 rectangles
  • 3 triangles and 2 rectangles
  • 6 triangles

Part B: Surface area

5. Set the solid to Cube with side 4. What is its surface area? 1 pt
6. Set the rectangular prism to 5 × 3 × 2. What is its surface area? 1 pt
7. Set the rectangular prism to 4 × 3 × 2. What is its surface area? 1 pt
8. Set the triangular prism to legs 3 and 4, length 5. What is its surface area? 1 pt
9. Set the cube to side 5. What is its surface area? 1 pt

Part C: Reasoning

10. A cube has a surface area of 54 square units. What is its side length? (Its net is 6 equal squares.) 2 pts
11. Explain why the surface area of a solid is the sum of the areas of the pieces in its net. 2 pts