Discussion

Explanation:

If x = 1, then for the rectangular box : l = 8, b = 8 and h = 1, so volume = 64.

If x = 2, l = 6, b = 6 and h = 2 and volume = 72.

If x = 3, l = 4, b = 4 and h = 3 and volume = 48.

Therefore, we can see that for a value of x between 2 and 3, the volume of box decreases and will go on decreasing further as x increases.

Hence, the maximum volume that the box can have is 72 cubic inches.

Hence, option (a).

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