Johnson Santiago
08/25/2024 · Middle School
A piece of cardboard measuring 11 inches by 10 inches is formed into an open-top box by cutting squares with side length \( x \) from each corner and folding up the sides. Find a formula for the volume of the box in terms of \( x \) \( V(x)=\square \) Find the value for \( x \) that will maximize the volume of the box \( x=\square \)
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Volume formula: \( V(x) = 4x^3 - 42x^2 + 110x \)
Value of \( x \) that maximizes the volume: \( x \approx 1.74 \) inches.
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