Question 1: Write down the formula for calculating the surface area of a cuboid.

Answer: Surface Area = 2(length × width + length × height + width × height)

Question 2: Calculate the surface area of a cuboid with length 5 cm, width 3 cm, and height 4 cm.

Answer: 94

Question 3: A box has a length of 8 m, width of 2 m, and height of 3 m. Find its surface area.

Answer: 112

Question 4: Explain why doubling the length and width of a cuboid while keeping height constant quadruples its surface area.

Answer: Because surface area depends on the products of length and width, doubling each increases these areas, and since the formula sums three such products, surface area increases fourfold.

Question 5: A rectangular box measures 7 m by 2 m by 3 m. Find its surface area.

Answer: 94

Question 6: Construct a cuboid with a surface area of 94 cm², length 4 cm, and width 3 cm. Find the height.

Answer: 2.5

Question 7: A storage container has a surface area of 1500 m². Its length is 25 m and width is 10 m. What is its height?

Answer: 30

Question 8: Identify and correct the mistake in this calculation: A cuboid with dimensions 4 cm, 5 cm, and 6 cm has a surface area of 148 cm².

Answer: Incorrect; the correct surface area is 148 cm², calculated as 2(4×5 + 4×6 + 5×6) = 2(20 + 24 + 30) = 2(74) = 148.

Question 9: A cube has side length 3 m. Calculate its surface area.

Answer: 54

Question 10: A rectangular prism has dimensions: length 10 m, width 4 m, and height 6 m. Find the surface area.

Answer: 208

Question 11: A container's surface area is 500 m². If the length is 20 m, width is 10 m, find the height.

Answer: 7.5