Question

A triangular prism is 15 meters long and has a triangular face with a base of 7.2 meters and a height of 4.8 meters. The other two sides of the triangle are each 6 meters. What is the surface area of the triangular prism?

Answer 1

Explanation:

Answer 2

Answer: 304.56 square meters

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Work Shown:

area of triangle = (1/2)*base*height

area of triangle = (1/2)*7.2*4.8

area of triangle = 17.28

There are two of these triangles, so the surface area of all the triangles combined is 2*17.28 = 34.56

Now let's calculate the lateral surface area (LSA)

LSA = (perimeter of triangular base)*(depth of prism)

LSA = (7.2+4.8+6)*(15)

LSA = (18)*(15)

LSA = 270

Add this onto the previous area of the triangles

total surface area = (base area)+(LSA) = 34.56+270 = 304.56