Question 1: Draw the net of a rectangular prism that has dimensions 3 cm by 4 cm by 5 cm.

Answer: A net with 2 rectangles of size 3x4, 2 of 4x5, and 2 of 3x5

Question 2: Calculate the total surface area of a prism with a net consisting of rectangles measuring 6 cm by 4 cm, 6 cm by 4 cm, and 6 cm by 8 cm.

Answer: 148 cm^2

Question 3: Construct a net for a triangular prism with triangular bases of side length 5 cm and height 4 cm, and a rectangular side of 5 cm by 8 cm.

Answer: A net showing two triangles and three rectangles forming the prism.

Question 4: A cuboid has a length of 10 cm, width of 5 cm, and height of 3 cm. Draw its net.

Answer: Net with rectangles of 10x5, 10x3, and 5x3.

Question 5: A rectangular prism has a surface area of 94 cm^2. Its base dimensions are 4 cm by 3 cm. Find the height of the prism.

Answer: 5 cm

Question 6: Identify the common mistake students make when calculating the surface area from a net and explain how to avoid it.

Answer: Incorrectly doubling the area of one face; ensure all faces are counted once and doubled for pairs.

Question 7: A student draws a net for a cube. They forget to include two of the square faces. What is the impact on the calculated surface area?

Answer: The surface area will be underestimated; missing faces reduce total area.

Question 8: Calculate the surface area of a triangular prism with triangular bases of side 6 cm, height 8 cm, and a rectangular side 6 cm by 10 cm.

Answer: Complete surface area is 2×(0.5×6×8)+ (6×10) + (6×10) + (8×6) = 48 + 60 + 60 + 48 = 216 cm^2

Question 9: Plot the graph of y=2x for x values from 0 to 5. Use the grid to draw the graph.

Answer: A straight line passing through (0,0) and (5,10).

Question 10: Construct a net for a pentagonal prism with regular pentagon bases of side length 4 cm and a rectangular side of 4 cm by 10 cm.

Answer: Net with two pentagons and five rectangles.

Question 11: A student attempts to draw the net of a cube but labels the faces incorrectly, mixing up the faces. How does this mistake affect the calculation of surface area?

Answer: Incorrect face labels can lead to wrong area calculations and total surface area errors.