Answer:V = LWH volume = length x width x height240 = (2+H)((6+H)H = (H^2 + 8H + 12)H = H^3 + 8H^2 + 12HH^3 + 8H^2 + 12H - 240 = 0while there's no easy way to solve cubics, try some simple integers. You need an even integer2 doesn't work, too small, try 44^3 + 8(4)^2 + 12(4) -240 =0 Height = 4 feetdimensions are 4 x 10 x 6 feet = 240 ft/63divide h-4 into the cubic to get H^2 + 12H + 60the discriminate = 144-4(60) < 0 so there are no other real solutions4 feet by 6 feet by 10 feet is the only solution
Step-by-step explanation:
