Question

A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area. 4.5 in 6 in 16 in 7.5 in

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Answer 1

315 in²

Explanation:

the surface area is the sum of the areas of all the individual shapes in the surface.

so, we have the 2 triangular bases and 3 rectangles as is sides.

the area of a rectangular triangle is a×b/2

we need them twice, so that is then a×b

a=4.5

b=6

a×b = 27 in²

one rectangle is 16×7.5 = 120 in²

one rectangle is 16×6 = 96 in²

one rectangle is 16×4.5 = 72 in²

total surface area is therefore

A = 27+120+96+72 = 315 in²