Question 1: Calculate the volume of a pyramid with a base area of 24 cm² and a height of 9 cm.

Answer: 72

Question 2: A pyramid has a base area of 36 m² and a height of 12 m. Find its volume.

Answer: 144

Question 3: If the volume of a pyramid is 48 cm³ and the height is 8 cm, what is the area of its base?

Answer: 16

Question 4: Calculate the volume of a pyramid with a base area of 50 m² and a height of 6 m.

Answer: 100

Question 5: Construct a pyramid with a square base of side length 4 cm and height 10 cm. Calculate its volume.

Answer: 53.33

Question 6: A pyramid has a base with area 45 m² and a height of 15 m. What is its volume?

Answer: 225

Question 7: A rectangular pyramid has a base measuring 8 m by 6 m and a height of 10 m. Find its volume.

Answer: 96

Question 8: A cone and a pyramid have the same base area and height. Which has a larger volume? Explain your reasoning.

Answer: The pyramid has a larger volume because its volume is ⅓ × base area × height, which is larger than the cone's volume, which is ⅓ × π × radius² × height. Since base areas are the same, the pyramid's volume is greater.

Question 9: A pyramid's volume is calculated as ⅓ × 20 m² × 9 m. What is the volume? Show your working.

Answer: 60

Question 10: Identify the mistake in calculating the volume of a pyramid with base area 30 m² and height 10 m, where the student obtained 150 m³.

Answer: The mistake was in the calculation; the correct volume is ⅓ × 30 × 10 = 100 m³, not 150 m³.

Question 11: A pyramid has a base area of 40 m² and a height of 12 m. Calculate its volume. Then, if the height is doubled, what is the new volume?

Answer: Original volume = ⅓ × 40 × 12 = 160 m³; doubled height = 24 m, new volume = ⅓ × 40 × 24 = 320 m³.