A rectangular sheet of metal is 10 cm longer than it is wide. Squares 5 cm on a side, are cut from the corners of the sheet, and the flaps are bent up to form an open topped box having volume 6 liters. Find the original dimensions of the sheet of metal. 1L=1000cm³
let width be x length = x+10 5cm is cut from the corners. so length & width reduce by 10 cm. .. the width will be x-10 length will be x+10-10 height will be 5cm ... x(x-10)*5=6000 1 liter = 1000 cm^3 5x^2-50x-6000=0 /5 x^2-10x-600=0 x^2-30x+20x-600=0 x(x-30)+20(x-30)=0 (x-30)(x+20)=0 x= 30 the width length = 40 ... CHECK 30*40*5= 6000 = 6 liters
