Question

the volume of a box is 192 cubic inches the height is 4 inches The width is 2 inches more than the length find the demintons

desperate! i will give a medel

Answer 1

volume = height*width*length = 192
height = 4 inches
width = x
length = x-2 (cuz width is 2 inches longer than length)
volume = 192 = 4*x*(x-2)
divide each sides by 4
48 = x(x-2) -> x(x-2)-48=0 -> x^2-2x-48=0 ->(x-8)(x+6)=0
x is either 8 or -6 but width cant be negative #, so the answer is
height = 4
width = 8
length = 6