Problema Solution
A catering company is designing a box. the volume of the box is to be 54 cubic inches and the bottom of the box is a square. suppose the bottom of the box has a width that is 3 inches smaller then the height x of the box. Write a polynomial equation of the box.
Answer provided by our tutors
x = the height of the box
x - 3 = the length of the side of the squared bottom of the box
V = 54 in^3
since the volume of the box is:
V = the area of the base * the height
V = ((x - 3)^2)*x
we have:
((x - 3)^2)*x = 54
by simplifying we get the following equation:
x^3 - 6x^2 + 9x - 54 = 0