Find the service area of this triangular prism 24in 25in. 25in. 32in. 14in.
SURFACE AREA not service area!
The service area of a triangular prism is the sum of the areas of the three rectangular faces and the two triangular faces. We can use the formula:
Service area = 2ab + 2bc + 2ca
where a, b, and c are the dimensions of the rectangular faces.
For this prism, we have:
a = 24 in, b = 25 in, c = 14 in
The two triangular faces are identical and have base 25 in and height 32 in.
Using the formula, we get:
Service area = 2(24)(25) + 2(25)(14) + 2(14)(24) + 2(1/2)(25)(32) = 1200 + 700 + 672 + 400 = 2972 square inches