Problema Solution
A 2in thick slice is cut off the top of a cube, resulting in a rectangular box that has volume 106in^3 . Find the side length of the original cube. Round your answer to two decimal places.
Answer provided by our tutors
Let L be the length of the original cube.
Then the resulting rectangular box has dimension L x L x 2.
Therefore the volume of this box is L*L*2 = 2L^2.
On the other hand the volume of this box is given and equal to 89.
So we have the equation
2L^2 = 106
Dividing by 6 we have
L^2 = 53
L = square root of 53
L is approximately 7.28 in.