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)?

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Answer 1 · 2016-06-29T12:39:48

width is 8 and length is 10

The volume of the box is given by

length * width * height

Therefore you must solve the equation

#6x(x+2)=480#

or the equivalent

#x(x+2)=80#

#x^2+2x-80=0#

#x=-1+-sqrt(1+80)#

#x=-1+-9#

Since x must be positive, its value is 8

So

width is 8 and length is 10