Question

How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm, the iron being 1.5 cm thick throughout? If 1 cubic cm of iron weighs 15 g, find the weight of the empty box in kg.

Answer 1

We have,

External dimensions of the iron box are,

Length

Breadth

Height

Thickness of ironand of iron weighs

We are asked to find the volume of the metal used in the box and weight of the empty box

Internal dimensions of the box,

Length

Breadth

Height

Let,

External volume of the box

Internal volume of the box

Volume of the iron

So,

We have, of iron weighs,

So, weight of of iron,

In that open box, there areof iron, and weight of the empty box is .