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\(\pi\)
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\(\frac{a}{b}\)
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\(\sqrt{\,}\)
\(a^{b}\)
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An open box is made by cutting squares of side length \(x\) cm from the corners of a rectangular sheet of cardboard measuring 20 cm by 14 cm, and folding up the sides. The volume \(V\) of the box is given by:$$ V(x) = 4x^3 - 68x^2 + 280x $$
Calculate the volume of the box if a square of size \(x=2\) cm is cut.
Determine the physical domain of the function (i.e., what is the maximum possible value for \(x\)?).
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