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.

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Mathematics

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10 August, 05:25

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.

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Declan Pruitt · 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