A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 12 in., a width of 4 in., and a height of 5 in. The pyramid has a height of 10 in. Find the volume of the composite space figure.
480 in.3
300 in.3
2400 in.3
400 in.3
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OpenStudy (inkyvoyd):
What part are you having trouble with?
OpenStudy (inkyvoyd):
@inkyvoyd
OpenStudy (inkyvoyd):
To find the volume of the figure, add up the volume of the pyramid and the rectangular prism. The volume of hte rectangular prism is not too difficult - want to find it?
OpenStudy (anonymous):
12*4*5=240^2
OpenStudy (inkyvoyd):
Now, imagine the pyramid. it has a length of 12, and a width of 4.
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OpenStudy (inkyvoyd):
From the question, we are also given the height of the pyramid as well. What is it?
OpenStudy (anonymous):
10in! :D
OpenStudy (inkyvoyd):
mmhmm - so, how does one find the area of a pyramid?
OpenStudy (anonymous):
(cricket cricket)
OpenStudy (inkyvoyd):
V=1/3 BH - it's one of those formulas you have to memorize.
What is the area of the pyramid base?
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OpenStudy (anonymous):
...
OpenStudy (inkyvoyd):
volume of a pyramid equals one-third base times height