What are the possible expressions for the dimensions of the cuboids whose volumes are given below?: Volume$=12ky^2+8ky-20k$

Given: Volume of a cuboid $=12ky^2+8ky-20k$

To do: To find the possible dimensions of the cuboid.

Solution:

Volume$=12ky^2+8ky-20k$

$=4k(3y^2+2y-5)$

$=4k(3y^2+5y -3y-5)$

$=4k(y (3y+5)-1(3y+5))$

$=4k( 3y +5) (y-1)$

Thus, the possible dimensions are $l=4k,\ b=3y+5,\ h=y-1$
 

Updated on: 10-Oct-2022

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