An open rectangular box with volume 9 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.

The surface area of the box as a function of the length of a side of the base is .

Step-by-step explanation:

Let be the length side of the square base and be the height of the box.

According with the diagram the volume of a rectangular box with a square base is given by

and we know that its value is 9 .

The surface area is given by

S = (Area of Base) + 4(Area of a Vertical Side)

From the volume formula we can solve for

and substitute into the surface area formula

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y

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