This net folds into a cube. Which labelled face is opposite face A?
Cube netDiagram not to scaleShow worked answer
Answer: C
Fold the four-face strip around the cube.
A is opposite C,B is opposite D, and E is opposite F.
Therefore C is opposite A.
Example 2
This net folds into a closed rectangular prism. Each face shows its dimensions in cm. Find the total surface area, in cm2.
Rectangular-prism netDiagram not to scaleShow worked answer
Answer: 210
Add all six faces.
2(8×5+8×5+5×5)=210cm2.
Example 3
A closed right triangular prism has triangular ends with perpendicular sides 9cm and 12cm, and third side 15cm. Its length is 4cm. Find its total surface area, in cm2.
Triangular-prism netDiagram not to scaleShow worked answer
Answer: 252
The two ends total 9×12=108cm2.
The three rectangles total (9+12+15)×4=144cm2.
Add to get 252cm2.
Read a cube net, then calculate the area of a prism net practice | Year 9 | Ascent Arcade