The area of the cross-section of a prism is 45cm squared. The volume of the prism is 405cm cubed. Work out the length of the prism. Will medal if clear explanation is provided
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OpenStudy (cggurumanjunath):
405/45
OpenStudy (anonymous):
@ParthKohli
OpenStudy (cggurumanjunath):
9CM
OpenStudy (anonymous):
can you please draw the shape out
OpenStudy (cggurumanjunath):
V=LBH =A*L ; LB=A
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OpenStudy (cggurumanjunath):
V=A*L
405=45*L
L=405/45=9CM
OpenStudy (anonymous):
@TheSmartOne
OpenStudy (anonymous):
@shrutipande9
OpenStudy (anonymous):
@SyedMohammed98
TheSmartOne (thesmartone):
For example, lets say that this prism is a rectangular prism, then the cross section's area would be the area of the traingle. And it will have the same cross section all along its length.
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OpenStudy (anonymous):
yep
TheSmartOne (thesmartone):
So
the area of the cross section times the length = volume of the prism
TheSmartOne (thesmartone):
and they told us
area of the cross section = 45
volume = 405
OpenStudy (anonymous):
please can you add the values on the diagram so its easier for me to visualise
OpenStudy (anonymous):
@TheSmartOne
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