Question 1: Calculate the volume of a square-based pyramid with a base side of 6 cm and a height of 9 cm.

Answer: 108

Question 2: A pyramid has a rectangular base measuring 8 cm by 12 cm and a height of 15 cm. Find its volume.

Answer: 480

Question 3: Compute the volume of a pyramid with a triangular base, where the base has a base length of 10 cm, height of 8 cm, and the pyramid height is 14 cm.

Answer: 266.7

Question 4: Construct a triangle with a base of 7 cm and a height of 5 cm on the grid. Use the pyramid volume formula to find the volume if the pyramid height is 10 cm.

Answer: 58.33

Question 5: A pyramid with a base area of 20 cm² has a height of 12 cm. What is its volume?

Answer: 80

Question 6: A rectangular pyramid has a base of 10 cm by 14 cm and a height of 18 cm. Calculate its volume.

Answer: 420

Question 7: A pyramid's base area is 45 cm², and its height is 9 cm. Find the volume.

Answer: 135

Question 8: A pyramid has a base with an area of 36 cm² and a height of 10 cm. Calculate its volume.

Answer: 120

Question 9: A student calculates the volume of a pyramid as 90 cm³ but forgets to convert the base area to square centimeters. The actual base area was 15 cm² and height 12 cm. Identify and correct the mistake.

Answer: The mistake is using a different unit. Correct volume is ⅓ × 15 × 12 = 90 cm³.

Question 10: A pyramid has a square base with side length 5 cm and a height of 8 cm. If the height is mistakenly taken as 4 cm, what is the incorrect volume calculated? What is the correct volume?

Answer: Incorrect volume: ⅓ × 25 × 4 = 33.33 cm³; Correct volume: ⅓ × 25 × 8 = 66.67 cm³.

Question 11: Plot the graph of y=2x on the grid provided. Construct a triangle with vertices at (0,0), (5,10), and (0,10) on the grid.

Answer: Students plot points and draw the triangle accordingly.

Question 12: Construct a pyramid with a base area of 16 cm² and a height of 10 cm. Calculate the volume and verify your answer with the formula.

Answer: Volume = ⅓ × 16 × 10 = 53.33 cm³