Question 1: Calculate the surface area of a rectangular prism with length 8 cm, width 5 cm, and height 10 cm.

Answer: 340

Question 2: Find the volume of a triangular prism with a triangular base of area 12 cm² and length 15 cm.

Answer: 180

Question 3: A cube-shaped prism has an edge length of 6 cm. Calculate its surface area.

Answer: 216

Question 4: Construct a rectangular prism with a volume of 240 cm³, where the length is 12 cm and the width is 5 cm. Find the height.

Answer: 4

Question 5: A prism has a surface area of 150 cm². Its length is 10 cm, width is 4 cm, and height is unknown. Find the height.

Answer: 5

Question 6: Explain why a prism with a rectangular base might have a different surface area than a prism with a triangular base, even if they have the same volume.

Answer: Different base shapes affect surface area because the amount of surface exposed varies; rectangular bases often have larger surface areas for the same volume due to additional rectangular faces.

Question 7: Calculate the volume of a hexagonal prism with a hexagon of side length 3 cm and height 10 cm. (Use the formula for the area of a regular hexagon: (3√3/2) * side²).

Answer: 78.48

Question 8: A prism has a surface area of 200 cm² and a volume of 120 cm³. Its length is 10 cm and width is 4 cm. Find the height.

Answer: 3

Question 9: A student mistakenly calculates the surface area of a cube with side length 4 cm as 64 cm². Identify the mistake and correct it.

Answer: Incorrect; surface area of a cube = 6 × side² = 6 × 16 = 96 cm².

Question 10: Plot the graph of y = 2x for x from 0 to 5 on the grid.

Answer: Students draw the line passing through (0,0) and (5,10).