Question

what is the length of a prism whit a volume of 600 in 3, a length that is twice its width, and a height of 12in? (V=1x w x h)

Answer 1

volume = length * width * height
length = 2 width in
width = width in
height = 12 in

600 in^3 = (2w in)(w in)(12 in)
solve for w.
50 = 2w^2
sqrt(25) = w
5 = w

length = 2w = 2*5 = 10 in
width = 5 in
height = 12 in.

Check: v = lwh... 600=10*5*12? ... CHECK!