Problema Solution
the length of a rectangular piece of cardboard is 10 inches longer than its width. Squares are cut from each corner, the sides of the squares measure 20% of the width, and remaining piece is folded up to from an open box. Express the number of cubic inches in the volume of the box as the function of x.
Answer provided by our tutors
Let 'x' represent the width.
x + 10 = the length
0.20x = the length of the square that us cut from each corner
The volume of the box is:
V = (x + 10 - 2(0.20x)*(x - 2*0.20x)*0.20x
V = x - 0.048x^3 + 10 in^3
click here to see the step by step simplification for (x + 10 - 2(0.20x)*(x - 2*0.20x)*0.20x