Using the net of the prism shown, what is the surface area? (1 point) mm2

1 answer

To find the surface area of the prism, we need to find the area of all its faces and then add them together.

From the net of the prism:
- The two bases are triangles with base 4 mm and height 3 mm. The area of each triangle is 1/2 * base * height = 1/2 * 4 * 3 = 6 mm^2 for each triangle, so 2 * 6 = 12 mm^2 for both bases.
- The three rectangle faces have dimensions 4 mm by 3 mm. The area of each rectangle is length * width = 4 * 3 = 12 mm^2 for each rectangle, so 3 * 12 = 36 mm^2 for all three rectangles.

Adding all these together, the surface area of the prism is 12 mm^2 (bases) + 36 mm^2 (rectangles) = 48 mm^2.

Therefore, the surface area of the prism is 48 mm^2.