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NikAS [45]
2 years ago
14

Find the surface area and volume of the figure below. Round your answers to the nearest tenth. (50 pts)

Mathematics
1 answer:
nlexa [21]2 years ago
7 0

Answer:

  • <u>Surface Area = 188.4 square yards</u>
  • <u>Volume = 216 cubic yards</u>

Step-by-step explanation:

Finding the hypotenuse of the triangular side :

  • Applying Pythagorean theorem
  • √6² + 6²
  • √2 x 6²
  • 6√2

Finding Surface Area :

  • Area (2 triangles) + Area (2 smaller rectangles) + Area (larger rectangle)
  • 2 x 1/2 x 6 x 6 + 2 x 12 x 6 + 12 x 6√2
  • 36 + 144 + 6√2
  • 180 + 6√2
  • 6 (30 + √2)
  • 6 (30 + 1.4)
  • 6 (31.4)
  • <u>188.4 square yards</u>

<u></u>

Finding Volume :

  • 1/2LWH
  • 1/2 x 12 x 6 x 6
  • 6³
  • <u>216 cubic yards</u>
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Combine like terms: -10y + -7y = -17y

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Solving

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Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-29' to each side of the equation.

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Simplifying

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