Question: This is a polynomial question An open box is constructed from 28cm by 21 cm sheet of cardboard by cutting out equal squares of side

This is a polynomial question

An open box is constructed from 28cm by 21 cm sheet of cardboard by cutting out equal squares of side x cm from each corner and then folding up the sides. The volume of such a box is given by the cubic function V (x)= x(28-2x)(21-2x). Using technology, determine,

a) what size of square, correct to the nearest hundredth, is cut from the corners to have a box with volume of 750 cm³? State both possible solutions.

b) what size of square, correct to the nearest hundredth, is cut from the corners to have box with the maximum volume?

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