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A triangular prism is 21 centimeters long and has a triangular face with a base of 16 centimeters and a height of 15 centimeters. The other two sides of the triangle are each 17 centimeters. What is the surface area of the triangular prism?

User Caylin
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1 Answer

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The surface area equation for a triangular prism is SA = bh + pl

  • b = base length [16 cm]
  • h = height [15 cm]
  • p= perimeter
  • l = length [21 cm]

You have been given most of your information, but you need to find the perimeter. The problem has given you the lengths needed to find the perimeter, so add the lengths together to get the perimeter!

P = a + b + c

P = 21 + 17 17

P = 55

Now you have all your information. Plug into the Surface area equation to find the surface area of the triangular prism:

SA= bh + pl

SA = (16)(15) + (55)(21)

SA= 240 + 1155

SA= 1395 cm ²

*connected parenthesis indicated multiplication*

The surface are of this triangular prism is 1395 square centimeters

User Kthornbloom
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