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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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<u>Step-by-step explanation:</u>

Outliers are the value that lies outside the set of data. i.e. the data doesn't fit in the group.

Removing outliers can affect mean more than median. Because outlier removal sometimes affect the median but in a small percentage or sometimes it will remain the same.

Let us prove, consider 16 values one with 78 and other 15 with values nearly 85, 84 that will give the mean value as 84.

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Mean =\frac{Sum of the values}{Number of values}.

Mean =\frac{78+84+82+86+84+85+83+86+82+85+84+83+86+85+86+85}{16}.

Mean =\frac{1344}{16}.

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