The volume of a pyramid that fits exactly inside a cube is 49 cubic feet. What is the volume of the cube?
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OpenStudy (sicklefirebolt):
would it be 49x6?
OpenStudy (sicklefirebolt):
pleaaseee help
OpenStudy (anonymous):
you need to know the formula for the volume of a cube and pyramid first
OpenStudy (sicklefirebolt):
i dont know those :\
OpenStudy (sicklefirebolt):
would it be v=1/3(b)(H)
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OpenStudy (sicklefirebolt):
and the cube is (b)(h)?
OpenStudy (anonymous):
hold on i will get the formulas for you... hahahaha i dont even remember XD
OpenStudy (sicklefirebolt):
haha okay thank you :)
OpenStudy (anonymous):
volume of a cube: V=a^3
OpenStudy (sicklefirebolt):
what is A?
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OpenStudy (anonymous):
the edge
OpenStudy (anonymous):
pyramid: lwh divided by three
OpenStudy (sicklefirebolt):
but we only have the volume
OpenStudy (sicklefirebolt):
and six pyramids fit perfectly into a cube
OpenStudy (anonymous):
three pyramids
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OpenStudy (anonymous):
not six
OpenStudy (sicklefirebolt):
oh my school taught me six
OpenStudy (anonymous):
so it would be 49 times 3
OpenStudy (sicklefirebolt):
147?
OpenStudy (tylerd):
the pyramid fits exactly,
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OpenStudy (anonymous):
Yup!
OpenStudy (tylerd):
so its a square pyramid
OpenStudy (sicklefirebolt):
yeah! okay i think i understand lol
OpenStudy (tylerd):
yes samantha is right
OpenStudy (anonymous):
@TylerD AWWW thank you! no one really gives me the credit like that thanks! @sicklefirebolt you are welcome!
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OpenStudy (sicklefirebolt):
@Samantha1lehman do you think you could help me with one more question? haha
OpenStudy (anonymous):
yeah sure! just warning you im only in middle school but i will definitely try and help
OpenStudy (sicklefirebolt):
well you seem smarter than me, so im trusting you :P
OpenStudy (sicklefirebolt):
Pyramid A is a square pyramid with a base side length of 7 inches and a height of 6 inches. Pyramid B has a volume of 3,136 in3. How many times bigger is the volume of pyramid B than pyramid A?
OpenStudy (sicklefirebolt):
15
32
54
75
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OpenStudy (anonymous):
so remember the formula i gave you?
OpenStudy (anonymous):
for the volume of the pyramid?
OpenStudy (sicklefirebolt):
yeah
OpenStudy (anonymous):
pyramid: lwh divided by three
OpenStudy (anonymous):
so the length and width is 7
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OpenStudy (sicklefirebolt):
so it's 7x7x6?
OpenStudy (anonymous):
then...
OpenStudy (sicklefirebolt):
divided by 3
OpenStudy (sicklefirebolt):
is 98
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
so 98 cubic in
OpenStudy (tylerd):
so volume of A is 98 and Volume B is 3136
OpenStudy (tylerd):
how many A's would fit into B's?
OpenStudy (anonymous):
so divide 3136 by 98
OpenStudy (sicklefirebolt):
32! thank you so much
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OpenStudy (anonymous):
Yeah!
OpenStudy (anonymous):
you are welcome! just tag or message me when you need help!