To find the surface area of the prism, we need to find the area of each face and then add them together.
The prism has 2 triangular faces and 3 rectangular faces.
The two triangular faces have the same dimensions as the base of the prism, which is 7 mm by 10 mm. Therefore, the area of each triangular face is:
0.5 * base * height = 0.5 * 7 mm * 10 mm = 35 mm^2
There are 2 triangular faces, so the total area of the triangular faces is 2 * 35 mm^2 = 70 mm^2
The three rectangular faces have dimensions of 7 mm by 8 mm, 7 mm by 8 mm, and 8 mm by 10 mm. Therefore, the area of each rectangular face is:
Length * Width = 7 mm * 8 mm = 56 mm^2
Length * Width = 7 mm * 8 mm = 56 mm^2
Length * Width = 8 mm * 10 mm = 80 mm^2
The total area of the rectangular faces is 56 mm^2 + 56 mm^2 + 80 mm^2 = 192 mm^2
Now, adding the areas of the triangular and rectangular faces together, we get the total surface area of the prism:
70 mm^2 + 192 mm^2 = 262 mm^2
Therefore, the surface area of the prism is 262 mm^2.
Using the net of the prism shown, what is the surface area?
7 mm
10 mm
8 mm
6 mm
(1 point)
mm2
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