Question
Sat March 02, 2013 By:
 

A rectangular metallic sheet has dimensions 48cm x 56cm.From each of its corners , a square of side 8cm is cut off and an open box is made from the remaining sheet. Find the volume of the box.

Expert Reply
Sat March 02, 2013

Length of the metallic sheet = 48 cm

Breadth of the metallic sheet = 56 cm.

When a square of 8 cm is out off from each corner to form an open box, then

Length of the open box,

 l = 48 cm – 8 cm – 8 cm = 32 cm

Breadth of the open box,

 b = 56 cm – 8 cm – 8 cm = 40 cm

Height of the open box, 

h = side of the out off square = 8 cm

Volume of the open box = l Ã— b Ã— h 

V = 32 cm × 40 cm × 8 cm = 10240 cm3

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