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.

- anonymous

- katieb

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- 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

|dw:1434744254112:dw|

- princeharryyy

h = height; l= slant length; say base = b;
let area of base = A, perimeter of the figure be p

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## More answers

- 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

are you getting it @emilybbydoll

- anonymous

yes just taking notes! @princeharryyy

- princeharryyy

|dw:1434744708965:dw|

- 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

ok no big deal change the base to square

- princeharryyy

still the concept remains same

- princeharryyy

|dw:1434744852537:dw|

- princeharryyy

just the figure changes a little bit I was giving you an example

- 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

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

I hope u are getting it

- princeharryyy

so for the second part we need to calculate the area of the base that is area of the square

- princeharryyy

first

- princeharryyy

as side length is given so area of base of pyramid A = 18*18 = 324

- anonymous

|dw:1434744835196:dw|

- princeharryyy

volume of pyramid A = 324 *9 =2916cc

- princeharryyy

i.e. area*h

- princeharryyy

so, (2916/3,136)*100 will give the required percentage = 92.98%

- princeharryyy

so, pyramid B is approximately 7% bigger than pyramid A

- princeharryyy

- princeharryyy

wait wait wait @emilybbydoll

- princeharryyy

I forgot to divide the area of the pyramid by 3 that was in the formula

- 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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