(Solved): from a rectangular sheet measuring 150mm From a rectangular sheet measuring \( 125 m m \) by 50 mim, ...

From a rectangular sheet measuring \( 125 m m \) by 50 mim, equalsquares of side \( x \) are cut from each of the four comers. The remaining flaps are then folded upwards to form an open box. Write an expression tor the volume (V) of the box in terms of \( x \). Fully expand all brackets \[ V=\mathrm{mm}^{3} \] 2 marks Unanswered b) Find the value of \( x \) that gives the maximum volume and give your answer to 2 decimal places. Calculate the volume to the nearest \( m m^{3} \).