Question 1: Calculate the length of the space diagonal of a cuboid measuring 3 cm by 4 cm by 12 cm.

Answer: 13

Question 2: A right-angled pyramid has a base side of 6 cm and a height of 9 cm. Calculate the slant height of the pyramid.

Answer: 10.8

Question 3: A cylinder has a radius of 5 cm and a height of 12 cm. Find the length of the diagonal connecting the top edge to the bottom edge across the side surface.

Answer: 13

Question 4: Construct a rectangular prism with length 8 cm, width 5 cm, and height 3 cm. Calculate the space diagonal.

Answer: 9.8

Question 5: Plot the graph of y=2x on the grid provided.

Answer: Students plot y=2x

Question 6: Construct a cube with side length 4 cm on the grid. Find the length of its space diagonal.

Answer: 5.7

Question 7: A cone with radius 3 cm has a slant height of 4.5 cm. Find its vertical height.

Answer: 3

Question 8: A rectangular prism measures 10 cm by 6 cm by 8 cm. Calculate the length of the space diagonal using Pythagoras in 3D.

Answer: 14.4

Question 9: A spherical object is placed inside a cube with side length 6 cm. What is the maximum diameter of the sphere that can fit inside?

Answer: 6

Question 10: Identify and correct the mistake: A student calculates the space diagonal of a cuboid with sides 5, 12, and 13 cm as 20 cm, using the Pythagorean theorem twice.

Answer: Incorrect because the diagonal should be sqrt(5^2 + 12^2 + 13^2) = sqrt(25 + 144 + 169) = sqrt(338) ≈ 18.4