The sides of an open box are 0·5 cm thick and bottom is 1 cm thick. The internal length, breadth and depth are respectively 14 cm, 10 cm and 8 cm. It is completely filled with water. If the material weighs 2000 kg per cubic metre, then what is the weight of the material used in the construction of the box?

Question

Accepted Answer

730 gm. External dimensions: length = 14 + 2(0.5) = 15, breadth = 10 + 2(0.5) = 11, depth = 8 + 1 = 9 (open top, so only bottom adds thickness). External volume = 15 × 11 × 9 = 1485 cm³. Internal volume = 14 × 10 × 8 = 1120 cm³. Material volume = 1485 - 1120 = 365 cm³. Weight = 365 × 2000/10⁶ kg = 0.73 kg = 730 gm.

Explanation

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