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:

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

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

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

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

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