Find the height

Question

A box has a width of 5 feet. The height is unknown, but you know that the length is 3 feet more than the height. The volume of the box is 35 cubic feet. Find the box’s height

Answer 1

5(h)(h+3) = 35

 

h(h+3) = 7

 

h^2 + 3h - 7 = 0

 

H = [-3 +or- sqrt( 9 + 4*1*7)]/2

 

    = [ -3 +or- sqrt(37)]/2

 

 

   = 1.541381265152