Answer:
dimensions are L = 12, W = 6, H = 10
Step-by-step explanation:
so we have a box where length is 2x width
get our first equation
L = 2w
height is 4 inches + width so the 2nd equation is
H = W + 4
Volume is 720 inches cube, the formula for volume is
L * H * W
so We substitute the equations in the formula
2W * (W + 4) * W = 720
we get (2W^2 + 8W) * W = 720
keep expanding to get 2W^3 + 8W^2 = 720
bring the 720 on left side
2W^3 + 8W^2 - 720 = 0
using calculator we get W = 6
substitute it into the equation of H = W + 4
H is 10
and lastly, L = 2W
so L = 12
and there you have it, hope this helped
