Mathematics
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OpenStudy (gabylovesyou):
What is the volume of the composite figure?
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OpenStudy (gabylovesyou):
OpenStudy (apoorvk):
volume of the cuboid below + volume of the square pyramid above --->
volume of a pyramid = 1/3 * area of base * height
OpenStudy (apoorvk):
how did you get 6?
OpenStudy (gabylovesyou):
nevermind! misread lol
OpenStudy (apoorvk):
then, what answer are you getting?
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OpenStudy (gabylovesyou):
idk how do u find area of base of a pyramid?
jimthompson5910 (jim_thompson5910):
area of the base of the pyramid is the same as the area of the base of the cube, which is 6*3 = 18 square yds
OpenStudy (apoorvk):
length time the breadth -- it's a rectangular base.
OpenStudy (gabylovesyou):
@jim_thompson5910 did u do it for this example?
jimthompson5910 (jim_thompson5910):
yes, what did you get for the answer Gabylovesyou?
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OpenStudy (apoorvk):
lol - find out yourself - check what the length and the breadth are from your diagram.
OpenStudy (gabylovesyou):
forr the rectangular prism? or the square based pyramid
jimthompson5910 (jim_thompson5910):
for both
jimthompson5910 (jim_thompson5910):
you take the two individual volumes and add them up to get the final answer
OpenStudy (gabylovesyou):
for the rectangular prism the length is 6?
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OpenStudy (apoorvk):
anyone one - does it matter? they are conjoined.
jimthompson5910 (jim_thompson5910):
yes, the length is 6, the width is 3 and the height is 5
jimthompson5910 (jim_thompson5910):
this is all for the cube
jimthompson5910 (jim_thompson5910):
or rectangular prism I meant
OpenStudy (gabylovesyou):
so the volume is 90! (of the rectangular prism
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jimthompson5910 (jim_thompson5910):
yes, you got it
jimthompson5910 (jim_thompson5910):
the rectangular pyramid's volume is then what?
OpenStudy (gabylovesyou):
90
OpenStudy (apoorvk):
Yes, right at that. now the next part - the pyramid.
OpenStudy (gabylovesyou):
what is the base of the pyramid 6 or 3?
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jimthompson5910 (jim_thompson5910):
they both form the base
jimthompson5910 (jim_thompson5910):
one's the length of the base and the other is the width of the base
jimthompson5910 (jim_thompson5910):
Area of base of pyramid = length * width = 6*3 = 18 square yds
OpenStudy (gabylovesyou):
The volume of the square based pyramid is 24 so 90 + 24 = 114! Right??
jimthompson5910 (jim_thompson5910):
you nailed it, very nice job
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OpenStudy (gabylovesyou):
yaaaaaaaaaay!!!!!!!!!!!!!!
jimthompson5910 (jim_thompson5910):
lol
OpenStudy (gabylovesyou):
lol