total surface area of the cuboid- ENGINEERING MATH

[killer math]

the volume of cuboid is 343cm the height for cuboid is h, width x and also length.
The total surface area of cuboid A cm2, is given by A= 2x² + 1372/x.
wht method shoul I use?

 

[Deleted member 4993]

the volume of cuboid is 343cm (← cannot be correct) the height for cuboid is h, width x and also length.
The total surface area of cuboid A cm2, is given by A= 2x² + 1372/x.
wht method shoul I use?

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[HallsofIvy]

the volume of cuboid is 343cm the height for cuboid is h, width x and also length.

So this is a "rectangular solid" ("cuboid") with four sides of length h and eight sides of length x.

The total surface area of cuboid A cm2, is given by A= 2x² + 1372/x.
wht method shoul I use?

A "cuboid" has 6 faces. Here, two of them are x by x and four are x by h. The total surface area is 2x^2+ 4xh and you say that equals 2x^2+ 1372/x.
That tells us we must have 4xh= 1372/x so that h= 343/x^2.

Now, what method should you use to do what?