Question 342278
An open rectangular box with volume 7 m3 has a square base.
:
(a) Express the surface area of the box as a function of the length (x) of a side of the base.
:
Find the height using the given volume:
x^2 * h = 7
h = {{{7/x^2}}}
:
Surface area of an open box
S.A. = x^2 + 4(x*h)
;
Replace h with{{{7/x^2}}}
S.A. = x^2 + 4(x*{{{7/x^2}}})
;
Cancel x:
S.A. = x^2 + 4({{{7/x}}})
:
f(x) = x^2 + {{{28/x}}}; is the surface area in terms of x