A box that has a lid, "floor" that is a square with sides x, and hight is h, has a surface area of 384 dm^{2 }

How does this equation show the volume of said box?

V(x)=(x(192-x^{2}))/2

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- Oct 30th 2012, 08:30 AMGardsVisionDoes this equation describe the volume of the box?
A box that has a lid, "floor" that is a square with sides x, and hight is h, has a surface area of 384 dm

^{2 }

How does this equation show the volume of said box?

V(x)=(x(192-x^{2}))/2 - Oct 30th 2012, 09:06 AMMarkFLRe: Does this equation describe the volume of the box?
The surface area of the box in square decimeters is:

and so solving for we find:

The volume is then: