Question 1: Calculate the total surface area of a cuboid measuring 8 cm by 5 cm by 3 cm using a net.

Answer: 142 cm^2

Question 2: A net of a cuboid shows 6 rectangular faces. If the cuboid's length is 10 cm, width is 4 cm, and height is 6 cm, find the total surface area.

Answer: 208 cm^2

Question 3: Construct a net for a cuboid with dimensions 9 cm by 6 cm by 4 cm. Label all faces with their areas.

Answer: Net diagram with labeled faces

Question 4: A box is made from a rectangular net. The net has rectangles measuring 12 cm by 8 cm, 12 cm by 4 cm, and 8 cm by 4 cm. Calculate the total surface area.

Answer: 304 cm^2

Question 5: A cube has a net with six equal squares, each of side 5 cm. Find the total surface area and explain how the net confirms this.

Answer: 150 cm^2, net shows 6 squares of 5 cm sides

Question 6: Identify and correct the mistake in the following: A cuboid with dimensions 7 cm by 3 cm by 2 cm is said to have a surface area of 78 cm^2.

Answer: Correct surface area is 62 cm^2

Question 7: Given a net of a cuboid where the top and bottom rectangles are 10 cm by 6 cm, and the sides are each 10 cm by 4 cm, calculate the total surface area.

Answer: 208 cm^2

Question 8: A rectangular prism has a net with three rectangles: 8 cm by 4 cm, 8 cm by 3 cm, and 4 cm by 3 cm. Determine the surface area and explain your reasoning.

Answer: Total surface area = 88 cm^2; net shows three faces with respective areas

Question 9: Challenge: A cuboid's net shows six faces. The faces are arranged so that the total surface area is 144 cm^2. If the length and width are equal, and the height is 4 cm, find the length and width.

Answer: Length and width are 6 cm each

Question 10: A student claims that folding the net of a cuboid in a different way can change its surface area. Is this true? Explain your reasoning.

Answer: No, surface area depends on face areas, not folding

Question 11: Plot the graph of y = 2x for x values from 0 to 6 on the grid.

Answer: (0,0), (1,2), (2,4), (3,6), (4,8), (5,10), (6,12)