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From a rectangular sheet measuring

`175mm`

by

`75mm`

, equal squares of side

`x`

are cut from each of the four corners. The remaining flaps are then folded upwards to form an open box. a) Write an expression for the volume

`(V)`

of the box in terms of

`x`

. Fully expand all brackets

`V=,m^(3)`

2 marks Unanswered b) Find the value of

`x`

that gives the maximum volume and give your answer to 2 decimal places.

`x_(max)=,mm`

Calculate the volume to the nearest

`mm^(3)`

.

`V_(max)=◻m^(3)`