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The base of a triangular prism is a right triangle with a base of 6 inches, a height of 8 inches, and a third side length of 10 inches. the height of the prism is 14 inches. find the surface area of the prism.

Sagot :

The surface area of the rectangular prism with the dimensions that are stated is: 384 in.²

What is the Surface Area of a Triangular Prism?

Surface area = perimeter of base × height of prism + 2(base area)

= (s1 + s2 + s3)L + 2(1/2bh)

Given the following:

  • side of base (s1) = 6 in.
  • side of base (s2) = 8 in.
  • side of base (s3) = 10 in.
  • Length of prism (L) = 14 in.
  • Triangular base length (b) = 6 in.
  • h = 8 in.

Surface area = (6 + 8 + 10)14 + 2(1/2 × 6 × 8)

Surface area = 384 in.²

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