Question 1: Calculate the surface area of a square-based pyramid with a base side of 6 cm and a slant height of 8 cm using the net method.

Answer: 192

Question 2: Construct the net of a square pyramid with base side 5 cm and slant height 7 cm. Calculate its surface area.

Answer: 175

Question 3: A pyramid has a rectangular base measuring 8 cm by 5 cm. The slant heights of the triangular faces are 6 cm and 7 cm respectively. Use the net method to find the total surface area.

Answer: 138

Question 4: Identify and correct the mistake in the following calculation: A pyramid with base 10 cm and slant height 9 cm has a surface area of 340 cm².

Answer: Incorrect; surface area = base area + lateral area = 100 + (4 × 10 × 9/2) = 100 + 180 = 280 cm²

Question 5: Construct a net for a triangular pyramid with base edges of 4 cm and slant heights of 5 cm. Then, calculate the total surface area.

Answer: 52

Question 6: A pyramid's net shows a square base of 10 cm side and four triangular faces. Each triangular face has a slant height of 12 cm. Calculate the total surface area.

Answer: 340

Question 7: Using the net method, find the surface area of a pyramid with a base of 3 cm and a slant height of 4 cm.

Answer: 27

Question 8: Construct a net for a pyramid with an equilateral triangular base of side 6 cm and a height of 5 cm. Calculate its surface area.

Answer: 108

Question 9: A real-world cardboard model of a pyramid has a base measuring 15 cm by 15 cm, and each triangular face has a slant height of 20 cm. Determine the total surface area using the net method.

Answer: 900

Question 10: A pyramid with a square base of 8 cm sides has a total surface area of 192 cm². Find the slant height of the triangular faces.

Answer: 8

Question 11: Challenge: Construct a net of a pyramid with base side 7 cm and slant height 9 cm. Calculate the surface area and explain each step.

Answer: Total surface area = base area + 4 × (1/2 × base side × slant height) = 49 + 4 × (1/2 × 7 × 9) = 49 + 126 = 175 cm²