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Mathematics 17 Online
OpenStudy (sicklefirebolt):

The volume of a pyramid that fits exactly inside a cube is 49 cubic feet. What is the volume of the cube?

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)

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?

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

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,

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!

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

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

OpenStudy (sicklefirebolt):

so it's 7x7x6?

OpenStudy (anonymous):

then...

OpenStudy (sicklefirebolt):

divided by 3

OpenStudy (sicklefirebolt):

is 98

OpenStudy (anonymous):

yes

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

OpenStudy (anonymous):

Yeah!

OpenStudy (anonymous):

you are welcome! just tag or message me when you need help!

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