Problema Solution
A 7in thick slice is cut off the top of a cube resulting in a rectangular box that has volume 49in^3. Find the side length of the original cube.
Answer provided by our tutors
Let
x = the edge of the cube
x - 7 = the height of the rectangular box after 7 ft slice is cut off the top
The volume of the rectangular box is:
V = x*x*(x - 7)
and V = 49 in^3 thus we have the equation:
x*x*(x - 7) = 49
x^3 - 7x^2 - 49 = 0
x = 11.33 in
The side of the length of the original cube is 11.33 inches.