answer the question

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) 9 Write an expression for the area A of the base of the box in terms of w. 6/) A = (902w)(482w) cm2 6) 4 320 180w 96w + 4w2 cm2 0 A II 4 320 276w + 4w2 cm2 6 Write an expression for the volume, V, of the box in terms of w. 0 V = 4 320w 276w2 + 4W3 e Solve for the possible value(s) of w that could maximise the volume of the box. You may use the substitutions at = 4 320 - 276w + 4W2 and v = w. @ w=10 @ w=36 36046w+w2=0 {x} W: 46+26 2 f9: _ Q ...' W 2 0=(w10)(w36) @ w10=0, w36=0 O w=10, 36