The volume of a box is 2176 cubic feet. The width of the box is 8 feet and it's height is 1 foot more than it's length. Find the height of the box. can anyone solve. Please show work step by step so I can understand.

Question

anonymous · Answer

formula for volume = lwh

given that h= l+1

it will be ---  2176 = 8(L)(L+1)

anonymous · Answer

can you do it now?

anonymous · Answer

what is the length?

anonymous · Answer

you have to find length first, using quadratic formula, after getting length(L) add it with 1 as stated that height is 1 foot more than it's length. .

anonymous · Answer

okay. what is a b and c. I know the formula. but not how to apply it to the problem

anonymous · Answer

the equation will be.

 l^2 + l - 272 = 0

  a=1
  b= 1
  c= -272

anonymous · Answer

ok. i think i understand. thanks

anonymous · Answer

glad to help. .

directrix · Answer

2176 = 8 L ( 1 + L)
2176 = 8L + 8 L^2
8 L^2 + 8L - 2176 - 0
8 (L^2 + L - 272) = 0
(L +17)(L -16) = 0
L  = - 17 or L = 16
L = 16 

h = L + 1 = 17