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 30 m² and a height of 12 m. What is its volume?

Answer: 120

Question 3: A pyramid's volume is 54 cm³. If the height is 6 cm, what is the base area?

Answer: 18

Question 4: Construct a pyramid with a base area of 15 cm² and a height of 10 cm. Calculate its volume.

Answer: 50

Question 5: A pyramid has a volume of 96 m³, and its base area is 32 m². Find the height.

Answer: 9

Question 6: A student calculates the volume of a pyramid as 40 cm³ with a base area of 8 cm². What mistake might they have made?

Answer: Incorrectly used the formula or miscalculated base area/height

Question 7: A pyramid’s volume is double the volume of a smaller pyramid with the same height and a base area of 10 m². If the larger pyramid has a volume of 60 m³, what is the base area of the larger pyramid?

Answer: 30

Question 8: Calculate the volume of a pyramid with a base area of 50 cm² and a height of 15 cm. Then, verify your answer by applying the formula.

Answer: 250

Question 9: Identify and correct the mistake in this student's calculation: They found the base area as 20 cm², height as 10 cm, and computed volume as 66 cm³.

Answer: Incorrect calculation or misunderstanding of the formula; correct volume is ⅓×20×10 = 66.67

Question 10: Challenge: A pyramid with a square base has a volume of 128 cm³. If the height is 8 cm, what is the length of each side of the base?

Answer: 16