10. An open box is formed by cutting squares of equal size from the corner of a 24 x 15 inch piece of metal sheet and folding up the sides. Determine the size of the cutout that maximizes the volume of the box.

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Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.