jonahhjon jonahhjon
  • 17-05-2022
  • Mathematics
contestada

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

Find the surface area and volume of the figure below Round your answers to the nearest tenth 50 pts class=

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Аноним Аноним
  • 17-05-2022

Answer:

  • Surface Area = 188.4 square yards
  • Volume = 216 cubic yards

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)
  • 188.4 square yards

Finding Volume :

  • 1/2LWH
  • 1/2 x 12 x 6 x 6
  • 6³
  • 216 cubic yards
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