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Find the surface area of this triangular prism.

4,428 square inches
5,112 square inches
5,796 square inches
7,164 square inches

ANSWERR I NEED TO TURN THIS IN PLEASE 30 POINTS

Find the surface area of this triangular prism. 4,428 square inches 5,112 square inches-example-1
User Psilocybin
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1 Answer

5 votes

Answer:

Surface area = 5796 square inches

Explanation:

One formula for surface area of a triangular prism we can use is:

SA = B + Pl, where

  • SA is the surface area in square units,
  • B is the area of the triangle multiplied by 2 b/c there's 2 triangles,
  • and l is the length of the prism

Step 1: We know that the formula for area of a triangle is A = 1/2bh, where

  • b is the base,
  • and h is the height

Because the base of the triangle is 36 in. and the height is 38 in., we can now find B (aka combined area of both triangles):

B = 2 * (0.5 * 36 * 38)

B = 2 * 684

B = 1368 square in.

Step 2: The formula for perimeter of a triangle is

P = s1 + s2 + s3, where

  • s1, s2, and s3 are the sides of the triangles

Since this is an equilateral triangle where all sides measure 36 in., we can find the perimeter by multiplying 36 by 3:

P = 108 in.

Step 3: l = 41 in. Since we now know that B = 1368, P = 108, and l = 41, we can find the surface area by plugging everything into the formula:

SA = B + Pl

SA = 1386 + 108 * 41

SA = 1386 + 4428

SA = 5796 square in.

User Abdul Munim
by
8.5k points

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