Here are the step-by-step solutions for the problems.
1. Sketch the nets of the following pyramids and hence work out the surface area of each.
- Pyramid (a):
- This is a square-based pyramid where all edges (base and slant edges) are 8 cm. This means the base is a square of side 8 cm, and the four triangular faces are equilateral triangles with side 8 cm.
- Net: A square of side 8 cm with four equilateral triangles of side 8 cm attached to each of its sides.
- Surface Area Calculation:
- Step 1: Calculate the area of the square base.