Advanced Surface Area Problems from Complex Nets

Questions

1. MultiChoice

   A net of an L-shaped prism base (area 20 sq cm each base) has a perimeter of 24 cm and prism height of 5 cm. What is the total surface area?

2. MultiChoice

   A composite net consists of two cubes joined together sharing one square face of side 3 cm. How many square faces are visible on the exterior net, and what is the surface area?

3. MultiChoice

   A net of a rectangular prism missing its top face has dimensions 8 cm by 5 cm by 3 cm (base 8x5). What is the surface area of this open box net?

4. MultiChoice

   A net of a square pyramid has a base of 6 cm by 6 cm and slant height of 5 cm. What is the total surface area?

5. MultiChoice

   An open-top cube net consists of 5 squares of side length 6 cm. What is the surface area of this net?

6. MultiChoice

   A net for a house-shaped figure consists of a rectangular prism net bottom (base 4x4, height 3) and a square pyramid roof (4 triangles with base 4, height 3). What is the total exterior surface area?

7. MultiChoice

   A rectangular prism net has surface area 164 sq cm. If two opposite faces each have area 20 sq cm, and two other opposite faces each have area 30 sq cm, what is the area of each remaining face?

8. MultiChoice

   A cube net has a surface area of 294 sq cm. What is the length of one edge of the cube?

9. MultiChoice

   A square pyramid net has a total surface area of 156 sq cm. If the area of the square base is 36 sq cm, what is the height of each triangular face?

10. MultiChoice

    A rectangular prism net has dimensions 2a, a, and a. If a = 4 cm, what is the total surface area?

11. MultiChoice

    The net of a triangular prism has a total surface area of 210 sq cm. The two triangular bases each have an area of 25 sq cm. What is the area of all 3 rectangular faces combined?

12. MultiChoice

    A net of a cube with a surface area of 216 sq cm is scaled up so that each edge is doubled. What is the new total surface area?