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stira [4]
3 years ago
10

What is the surface area in yards squared of the triangular prism shown below?

Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

Answer:

1,120 yd²

Step-by-step explanation:

Surface area of triangular prism = 2(BA) + P*H

✔️Triangular base area (BA) = ½bh

b = 15 yd

h = 8 yd

Base area (BA) = ½*8*15 = 60 yd²

✔️Perimeter of the base (P) = 17 + 15 + 8 = 40 yd

✔️Height or lenghtbor prism (P) = 25 yd

✔️Surface area = 2(60) + 40*25 = 120 + 1,000 = 1,120 yd²

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA

  • a is a side length
  • b is a side length
  • c is a side length
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Step-by-step explanation:

<u>Step 1: Define</u>

a = x

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b = 16

c = 30

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                    x² = 16² + 30² - 2(16)(30)cos30°
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  3. Evaluate:                       x² = 256 + 900 -2(16)(30)(√3/2)
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  6. Subtract:                       x² = 324.616
  7. Isolate <em>x</em>:                       x = √324.616
  8. Evaluate:                       x = 18.0171
  9. Round:                          x ≈ 18
3 0
2 years ago
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