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  • 18-04-2016
  • Mathematics
Answered

A rectangular prism has a volume of 384 cm. The width is twice the height and the length is three times the height. What are the dimensions of the prism

Verified Answer :

Anonymous Anonymous
  • 18-04-2016

lets assume height  as x
so width will be 2x
and length will be 3x similarly.
so,
Volume of prism = w h l
384 = 2x x 3x
384 = 6x^3
dividing both sides by 6
64 = x^3 ( taking cube root of 64)
4 = x 

So, 
Height = 4
width = 4 2 = 8
length = 4
3 = 12

Hope this helps.. :)

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