Calculus Question

Question

An. Open. Box is. Made from. A square. Cardboard of length 24. inches by cutting. Out four squares at the corners. All. If. Equal length and bending up the. Sides. Find the maximum volume. The resulting bond can have

Answer 1

V(x) = (24 - 2x)(24 - 2x)(x)

V(x) = 4(12 - x)²(x)

V(x) = 4(144 - 24x + x²)(x)

V(x) = 4(x³ - 24x² + 144x)

V(x) = 4x³ - 96x² + 576x

Now take first derivative and answer.