The open rectangular box with volume 7 m3, when it's surface area is expressed as a function of the length of a side of the base x, we have S = x2 + 28/x
What is the expression required above?
Let x = length of the sides of the base, and h = the height. The volume is given as 7 m3:
Volume = area of base * height
7 = x2*h
So 7/x2 = h
The surface area, S, of the box is:
S = (Area of Base) + 4*(Area of a Vertical Side)
S = x2 + 4*(xh)
Substitute 7/x2 in place of h:
S = x2 + 4*x*(7/x2)
S = x2 + 28/x
What is a surface area?
The surface area of anything is defined as the amount of area covered by its surface. The lake, for example, has nearly the same surface area as ten football fields.
Learn more about Surface Area:
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