Question 704378
A 8 ft thick slice is cut off the top of a cube, resulting in a rectangular box that has volume of 136 ft^3.
:
Let x = the side of the cube
then
x^3 = original vol of the cube
and
8x^2 = vol of the 8 ft slice
:
Therefore:
x^3 - 8x^2 = 136
x^3 - 8x^2 - 136 = 0
:
In your graphing calc looks like
{{{ graph( 300, 200, -6, 20, -500, 1000, x^3-8x^2-136) }}}
Using the calc "zero" feature x = 9.5052584 ~ 9.51, original side length