# The volume of the box is 480 cu units. How do you find the width and length, (height is 6), length is x+2, (width is x)?

Jun 29, 2016

width is 8 and length is 10

#### Explanation:

The volume of the box is given by

length * width * height

Therefore you must solve the equation

$6 x \left(x + 2\right) = 480$

or the equivalent

$x \left(x + 2\right) = 80$

${x}^{2} + 2 x - 80 = 0$

$x = - 1 \pm \sqrt{1 + 80}$

$x = - 1 \pm 9$

Since x must be positive, its value is 8

So

width is 8 and length is 10