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the volume of a rectangular solid is 12x + 8x - 3x - 2.the length of the solid is 3x + 2 and the width is 2x + 1.find the height

Sagot :

I think you meant [tex]12x^3 + 8x^2 - 3x - 2[/tex] which is equal to:
(3x+2)(2x+1)(2x-1)

the formula for the volume of a rectangular solid is lengthxwidthxheight

V = (3x+2)(2x+1)(2x-1) = lwh
since,
l = 3x+2
w=2x+1

(3x+2)(2x+1)(2x-1) = (3x+2)(2x+1)H
[tex]H = \frac{(3x+2)(2x+1)(2x-1)}{(3x+2)(2x+1)} [/tex]
H= 2x-1