A rectangular piece of cardboard, whose area is 216 square centimeters, is made into an open box by cutting a 2-centimeter square from each corner and turning up the sides. if the box is to have a volume of 224 cubic centimeters, what should the original dimensions of the cardboard start with
Accepted Solution
A:
let the length of the original cardboard be x and width be y. Area=xy=216 thus y=216/x after cutting 2 cm from the edges, the dimensions will be: (x-4) cm by (216/x-4) by 2 cm thus the volume will be: V=L×W×H V=(216/x-4)×(x-4)×2=224 thus solving for x we get: x=12 or x=18 Hence: length=18cm width=12 cm