The dimensions for a rectangular prism are x+5 for the length, x+1 for the width, and x for the height. What is the volume of the prism?

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Answer 1 · 2016-11-03T22:00:04

#v = x^3 + 6x^2 + 5x#

The formula for volume is: #v = l * w * h# where #v# is the volume, #l# is the length, #w# is the width and #h# is the height.

Substituting what we know into this formula gives:

#v = (x + 5)(x + 1)x#

#v = (x+ 5)(x^2 + x)#

#v = x^3 + x^2 + 5x^2 + 5x#

#v = x^3 + (1 + 5)x^2 + 5x#

#v = x^3 + 6x^2 + 5x#