SOLUTION: 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 . Use a graphing calculator to find the side length of the original cube

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 . Use a graphing calculator to find the side length of the original cube. Round your answer to two decimal places.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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

Using the calc "zero" feature x = 9.5052584 ~ 9.51, original side length
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