SOLUTION: one dimension of a cube is increased by 1 inch to form a rectangular bloc.Suppose that the volume of the new block is 150 cubic inches.Find the length of an edge of the original cu

Question 1143777: one dimension of a cube is increased by 1 inch to form a rectangular bloc.Suppose that the volume of the new block is 150 cubic inches.Find the length of an edge of the original cube

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39627) (Show Source): You can put this solution on YOUR website!
x, dimension of original cube, each of the three directions

Check if 3 or 5 is a root for the cubic equation.
(In fact, one root is x=5 ).

check:

.
Answer by ikleyn(52863) (Show Source): You can put this solution on YOUR website!
.

(x+1)*x*x = 150. One solution is x= 5. The function f(x) = x^3 + x^2 is monotonic, so there is NO other solution. ANSWER. The single and the unique solution to the problem is THIS : the length of the original cube is 5 inches.

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