An opentopped box with a square base of side length x has he

An open-topped box with a square base of side length x has height y. Consider the picture below: Determine an expression in terms of x and y that gives the surface area of the box. (Recall surface area is the sum of the areas of every face of the box, so in this case, it would be the sum of the areas of each of the four sides, plus the area of the base). If we know the volume of the box is 100 cubic inches, write an expression for y in terms of x.

Solution

b) volume of the box = length *width*height

=x*x*y = x^2y

given : x^2y = 100

So, y = 100/x^2