Q8. You are to construct an open box from a rectangular sheet of cardboard that measures 16 centimetres by 12 centimetres. To form the box, you cut squares of \( a \) by a centimetres from each of the corners and fold on the dashed lines. Determine value of \( a \) that produce a box with maximum volume and give the maximum volume. Figure Q8 (6 marks)
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When we cut squares of \( a \) by \( a \) centimeters from each corner, the length of the box will be reduced by \( 2a \) centimeters and the width will be reduced by \( 2a \) centimeters. Therefore, the dimensions of the box will be: Length = \( 16 - 2a \) Show more…
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