Question

Find a formula for the described function. an open rectangular box with volume 6 m3 has a square base. express the surface area sa of the box as a function of the length of a side of the base, x.

Answer 1

x^2 * h = 6

h = 6%2Fx%5E2

:

Surface area of an open box

S.A. = x^2 + 4(x*h)

;

Replace h with6%2Fx%5E2

S.A. = x^2 + 4(x*6%2Fx%5E2)

;

Cancel x:

S.A. = x^2 + 4(6%2Fx)

:

f(x) = x^2 + 28%6Fx; is the surface area in terms of x