Question 1: Calculate the volume of a cuboid with length 8 cm, width 3 cm, and height 5 cm.

Answer: 120

Question 2: A box measures 12 m in length, 4 m in width, and 2 m in height. What is its volume?

Answer: 96

Question 3: Construct a cuboid on the grid with dimensions 6 units by 4 units by 3 units. Calculate its volume.

Answer: 72

Question 4: Identify and correct the mistake: A student calculated the volume of a cuboid as 8 × 3 × 5 = 60. Is this correct? Why or why not?

Answer: No, the correct volume is 8 × 3 × 5 = 120. The mistake was in the calculation or understanding.

Question 5: A rectangular prism has dimensions 9 m, 7 m, and 3 m. Calculate its volume and explain the importance of correctly identifying length, width, and height.

Answer: 189; Correct identification ensures accurate volume calculation.

Question 6: If a cuboid's length is twice its width, and its height is 5 units, and the volume is 150, find the dimensions.

Answer: Length = 10, Width = 5, Height = 5

Question 7: A cube has side length 4 cm. Calculate its volume and compare it to a cuboid with dimensions 4 cm by 4 cm by 4 cm.

Answer: 64; Same as cube, volume is 4×4×4=64

Question 8: A student mistakenly uses area formulas to find volume, calculating 10 × 8 = 80, then multiplying by 4 for height. Explain why this approach is incorrect.

Answer: Because volume requires length × width × height, not area; multiplying area by height is correct only if the area corresponds to the base.

Question 9: Given a cuboid with length 15 m, width 4 m, and height 3 m, calculate the volume. Then, find the error if a student reports 180 m³.

Answer: 180; The calculation is correct, so there is no error.

Question 10: A box measures 10 units by 5 units by 2 units. A student mistakenly swaps the length and height, calculating volume as 2 × 5 × 10. Is this mistake valid? Explain.

Answer: Yes, because volume is length × width × height; swapping dimensions does not change the volume, but it indicates confusion in labeling.

Question 11: Challenge: A cuboid has a volume of 240 cubic units. Its length is 3 times its width, and its height is 4 units. Find all dimensions.

Answer: Width = 5, Length = 15, Height = 4