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A rectangular sheet of cardboard measuring 90 cm by 48 cm is to be used to make an open box. A square of width w cm is removed from each corner to make the net shown. 48cm 90cm (not to scale) 6 Write an expression for the area A of the base of the box in terms of w. G) A = (902w)(482w) cm2 (9 4 320 180w 96w + 4w2 cm2 0 h; H 4 320 276w + 4w2 cm2 9 Write an expression for the volume. V, of the box in terms of w. 0 V = 4 320w 276w2 + 4W3 6 Solve for the possible value(s) of w that could maximise the volume of the box. You may use the substitutions u = 4 320 276w + 4W2 and v = w. Q) w=10 GI) 36046w+w2=0 {x} w: 46+26 2 59': _ Q ~' W 2 @ 0=(w10)(w36) w10=0,w36=0 Enter your next step here