Question 1: A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 10 cm. Calculate its volume.

Answer: 400

Question 2: Determine the surface area of a square-based prism with a base side length of 6 cm and a height of 9 cm.

Answer: 234

Question 3: A triangular prism has a base triangle with a base of 4 cm and height 3 cm, and the length of the prism is 10 cm. Find the volume.

Answer: 60

Question 4: Construct a rectangular prism on the grid with dimensions 7 cm by 4 cm by 3 cm. Show your drawing.

Answer: Constructed on grid

Question 5: A prism has a volume of 240 cm³ and a height of 10 cm. Its base is a rectangle. Find the area of the base.

Answer: 24

Question 6: Explain why a prism with a regular hexagonal base has more surface area than a prism with a square base if both have the same height and side length.

Answer: Because a regular hexagon has more sides and a larger perimeter, leading to more surface area for the same height.

Question 7: A cube-shaped prism has a side length of 5 cm. Calculate its surface area and volume.

Answer: Surface area:150 cm², Volume:125 cm³

Question 8: A prism’s lateral surface area is 150 cm². If the height of the prism is 10 cm and the base perimeter is 30 cm, what is the total surface area?

Answer: 180

Question 9: A rectangular prism has a volume of 360 cm³, length of 12 cm, and width of 6 cm. Find its height.

Answer: 5

Question 10: Identify and correct the mistake: A cylinder and a rectangular prism with the same volume of 200 cm³ have the same surface area.

Answer: Mistake: A cylinder and a rectangular prism do not necessarily have the same surface area even if their volumes are equal. Correction: Recognize the different formulas and that surface areas differ.

Question 11: Plot the graph of y=2x for x values from 0 to 10 on the grid.

Answer: Line plotted accordingly

Question 12: Construct a triangular prism with a base triangle of sides 3 cm, 4 cm, and 5 cm, and a length of 8 cm on the grid. Show your drawing.

Answer: Constructed on grid