Question 1: Calculate the length of the space diagonal of a cuboid with length 8 cm, width 6 cm, and height 5 cm.

Answer: 10.8

Question 2: A rectangular box measures 10 m long, 4 m wide, and 3 m high. Find the space diagonal of the box.

Answer: 11.66

Question 3: What is the diagonal of a cuboid with sides 12 cm, 5 cm, and 13 cm?

Answer: 16.2

Question 4: Construct a cuboid with length 7 cm, width 4 cm, and height 3 cm on the grid. Calculate its space diagonal.

Answer: 8.24

Question 5: A toy box is 60 cm long, 40 cm wide, and 50 cm high. Find the length of the diagonal that runs from one corner of the base to the opposite top corner.

Answer: 86.6

Question 6: Calculate the diagonal distance between two opposite corners of a cuboid measuring 15 m, 20 m, and 25 m.

Answer: 35.3

Question 7: A storage container is 3 meters long, 2 meters wide, and 1.5 meters high. Find the length of its space diagonal.

Answer: 3.78

Question 8: A box measuring 8 cm x 6 cm x 4 cm is placed on a table. How far is the top corner of the box from the bottom opposite corner?

Answer: 10.4

Question 9: Identify and correct the mistake: A student calculates the diagonal of a cuboid with sides 9 m, 12 m, and 15 m as 20.4 m.

Answer: Incorrect; the correct diagonal is 20.8 m, calculated using √(9²+12²+15²) = √(81+144+225)=√450≈21.2

Question 10: A storage unit has dimensions 9 ft, 12 ft, and 16 ft. Find the length of the longest space diagonal.

Answer: 22.4

Question 11: Challenge: A rectangular prism has a length that is twice its width and a height that is 1.5 times its width. If the width is 5 cm, find the space diagonal.

Answer: 13.4