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Anestetic [448]
3 years ago
10

Find the volume of a pyramid with a square base, where the side length of the base is 16.7\text{ in}16.7 in and the height of th

e pyramid is 18.5\text{ in}18.5 in. Round your answer to the nearest tenth of a cubic inch.'
PLEASE HELP! MARK YOU AS BRAINIEST

Mathematics
1 answer:
kompoz [17]3 years ago
4 0
The formula for the volume of a pyramid is v=1/3(bh)h so it should be ​​1/3(16.7×16.7)×18.5=1719.82
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On section AB, whose length is 192 cm, take the point C so that AC: CB = 1: 3. The point D is taken on the AC section so that CD
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Answer:

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Step-by-step explanation:

<u>Given:</u>

  • AB = 192 cm
  • AC : CB = 1 : 3
  • CD = BC/12
  • The distance between midpoints of AD and CB = x

<u>Find the length of AC and CB:</u>

  • AC + CB = AB
  • AC + 3AC = 192
  • 4AC = 192
  • AC = 192/4
  • AC = 48 cm

<u>Find CB:</u>

  • CB = 3AC = 3*48 = 144 cm

<u>Find the length of CD:</u>

  • CD = BC/12 = 144/12 = 12 cm

<u>Find the length of AD:</u>

  • AD = AC - CD = 48 - 12 = 36 cm

<u>Find the midpoint of AD:</u>

  • m(AD) = 36/2 = 18 cm

<u>Find the midpoint of CB:</u>

  • m(CB) = AC + 1/2CB = 48 + 144/2 = 48 + 82 = 130 cm

<u>Find the distance between the midpoints:</u>

  • x = 130 - 18 = 112 cm
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