Question

A box that has a length of 2x + 2 and width of x - 2 has a perimeter of 90 centimeters. If the height of the box is x, what is the volume of the box?

Answer 1

The perimeter of the box is two times the length plus two times the width.  We know this is 90cm so2(2x + 2) + 2(x-2) = 904x+4+2x-4 = 0-6x = 90x = 15 From there, you can find the length and the width and height by substituting in for x.  Lastly, the volume is the product of the three of those and you will have your answer.

Answer 2

P=2(L+W)
90=P=2(2x+2+x-2)
90=2(3x)
90=6x
divide both sides by 6
15=x

volume=legnth times width times height
legnth=2(15)+2=30+2=32
width=15-2=13
height=15

volume=32*13*15
volume=6240

volume=6240 cm³