Problema Solution
A 4in thick slice is cut off of a cube, resulting in a rectangular box that has volume of 70in^3. Find the side length of the original cube. Round your answer to two decimal places.
Answer provided by our tutors
let 'a' be the side length of the original cube
a 4 in thick slice is cut off of a cube, resulting in a rectangular box thus the dimensions of this box will be
h = 4 in hight
a = the length of the side of the base
V = (a^2)*h is the volume of the rectangular box and we know that V = 70 in^3 thus we have
(a^2)*4 = 70
by solving the equation we find
a = 4.18 in is the side length of the original cube
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