Find the volume of a pyramid which has a square base of 10 inches and a height of 24 inches
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OpenStudy (jim766):
V = 1/3 (area of base ) (hieght)
OpenStudy (jim766):
V = 1/3 (100)(24)
OpenStudy (anonymous):
how is it 100?
OpenStudy (jim766):
base is a square with a side length of 10
A = L *W
A = 10*10
A = 100
OpenStudy (anonymous):
so 1/3(100)(24)
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OpenStudy (anonymous):
1/3(2400)
OpenStudy (jim766):
right, keep going
OpenStudy (jim766):
multiplying by 1/3 is same as dividing by 3
OpenStudy (anonymous):
800
OpenStudy (jim766):
great!
now dont forget the units
in this case it will be 800 in^3 (or inches cubed)
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OpenStudy (anonymous):
Thank you so much! Do you mind helping me with a similar one?
OpenStudy (anonymous):
PLease?
OpenStudy (jim766):
i will try
OpenStudy (anonymous):
A right circular cylinder has all of its dimensions multiplied by four. How is its surface area affected?
OpenStudy (anonymous):
@Jim766
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OpenStudy (jim766):
hold on a second
OpenStudy (jim766):
surface area of a cylinder
2pi(r^2) + 2pi(r)(h) lets say the dimensions are r = 1 and h = 1
2pi(1^2) + 2pi(1)(1) = 4 pi
OpenStudy (jim766):
now let mult each dimension by 4
2pi(4^2) + 2pi(4)(4)
32 pi + 32pi = 64pi
it went from 4 pi to 64 pi
4^3 = 64 so the answer is the surface are would be cubed