A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area.
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Answer:
Step-by-step explanation:
Area Triangles
Area = 1/2 b * h
In a right triangle the two smaller sides are used to find the area
A = 1/2 6 * 4.5
A = 1/2 * 27
A = 13.5
But there are 2 of them so that the area = 2* 13.5 = 27
Area Front side
Area = L * w
L = 13
w = 6
Area = 13 * 6
Area = 78
Area Back side
Area = L * W
Area = 4.5 * 13
Area = 58.5
Bottom Area
Area = L * W
L = 13
W = 7.5
Area = 13 * 7.5
Area = 97.5
Total Area = 58.5 + 78 + 27 + 97.5
Total Area = 163.5 + 97.5
Total Area = 261