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A triangular prism has a length of 5 inches, a base of 2 inches, a height of 2 inches, and sides of 2 inches and 3 inches. Find the surface area of the prism.


Please explain your answer. In the most simple way possible.

Verified Answer :

kaevras

The triangular prism has 5 faces; two triangle faces and three rectangular faces.

We can find the area of one of the triangle faces by doing ((base height) / 2). In this case, it would be ((2 2) / 2), which of course would equal 2"². Multiplied by two for the two triangles, which would be 4.

To find the area of one of the rectangles, we do (length base), which would be (5 2) in our case, giving us 10. Multiply by 3 for the 3 faces, and we got 30"².

30 + 4 = 34"²

djsdoodle

The three rectangular faces have area:
5 x 2 = 10
5 x 3 = 15
5 x 2 = 10
Total = 35

The two rectangular faces each have area of
(1/2) x 2 x 2 = 2
Total = 4

35 + 4 = 39

The answer is 39 square inches.

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