Find the lateral surface area of the rectangular prism represented by the given net. 12bottom, 3 side, 7 side (1 point)
The lateral surface area can be calculated by adding the areas of the four side rectangles on the net.
The dimensions of the rectangles are:
- Bottom rectangle: 12 x 7
- Two side rectangles: 12 x 3
- Two side rectangles: 7 x 3
Calculating the areas:
Bottom rectangle: 12 x 7 = 84
Two side rectangles: 12 x 3 = 36 (each)
Two side rectangles: 7 x 3 = 21 (each)
Adding the areas together:
84 (bottom) + 36 (side) + 36 (side) + 21 (side) + 21 (side) = 198
Therefore, the lateral surface area of the rectangular prism is 198 square units.