A rectangular metal sheet measures 48 m by 36 m. From each corner, a square of side 8 m is cut out and the sides are folded up to form an open box. What is the volume of the box (in m^3)?

Problem Restatement

Find the volume of an open box formed by cutting equal squares from each corner of a rectangle and folding up the flaps.

Given data

• Sheet: 48 m × 36 m
• Cut-out square side = 8 m

Concept / Dimensions after folding

New length = 48 − 2×8 = 32 m; New breadth = 36 − 2×8 = 20 m; Height = 8 m.

Step-by-step calculation

Volume = L × B × H = 32 × 20 × 8 = 5120 m^3

Pitfall

• Do not forget to reduce both length and breadth by twice the cut size.

Final Answer

Volume of the box = 5120 m^3.