anonymous
  • anonymous
1. Describe the process for calculating the volume of a pyramid. Use complete sentences. 2. Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percent. Provide an explanation and proof for your answer to receive full credit.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
3. The coordinates A(0, 0), B(0, 3), C(4, 3) and D(4, 0) are graphed and connected together. What 3-dimensional shape will be created when this shape is rotated about the y-axis? Provide an explanation and proof for your answer to receive full credit.
princeharryyy
  • princeharryyy
|dw:1434744254112:dw|
princeharryyy
  • princeharryyy
h = height; l= slant length; say base = b; let area of base = A, perimeter of the figure be p

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princeharryyy
  • princeharryyy
the the volume of the figure is given by Volume of pyramid = 1/3 * area of base *slant height Volume of pyramid =1/3 *A*l
princeharryyy
  • princeharryyy
are you getting it @emilybbydoll
anonymous
  • anonymous
yes just taking notes! @princeharryyy
princeharryyy
  • princeharryyy
|dw:1434744708965:dw|
anonymous
  • anonymous
okay so I'm trying to plug everything in but it says the pyramid is squared, it wouldn't really have five points like how you drew o: I'm a little confused on that
princeharryyy
  • princeharryyy
ok no big deal change the base to square
princeharryyy
  • princeharryyy
still the concept remains same
princeharryyy
  • princeharryyy
|dw:1434744852537:dw|
princeharryyy
  • princeharryyy
just the figure changes a little bit I was giving you an example
princeharryyy
  • princeharryyy
base can be any figure like rectangle or square or rhombus doesn't matter the area of the base changes according to the base figure
princeharryyy
  • princeharryyy
even this pyramid will have a height H(can be given in a question) and slant height l(that might be given in a question)
princeharryyy
  • princeharryyy
I hope u are getting it
princeharryyy
  • princeharryyy
so for the second part we need to calculate the area of the base that is area of the square
princeharryyy
  • princeharryyy
first
princeharryyy
  • princeharryyy
as side length is given so area of base of pyramid A = 18*18 = 324
anonymous
  • anonymous
|dw:1434744835196:dw|
princeharryyy
  • princeharryyy
volume of pyramid A = 324 *9 =2916cc
princeharryyy
  • princeharryyy
i.e. area*h
princeharryyy
  • princeharryyy
so, (2916/3,136)*100 will give the required percentage = 92.98%
princeharryyy
  • princeharryyy
so, pyramid B is approximately 7% bigger than pyramid A
princeharryyy
  • princeharryyy
@emilybbydoll
princeharryyy
  • princeharryyy
wait wait wait @emilybbydoll
princeharryyy
  • princeharryyy
I forgot to divide the area of the pyramid by 3 that was in the formula
princeharryyy
  • princeharryyy
so, volume of pyramid A will be 972 cc not 2916, so, pyramid A/ Pyramid B = (972/3,136 )*100 = 31% so, final answer is => pyramid B hass 69% bigger volume than pyramid A @emilybbydoll

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