Question

A cuboidal box whose external dimensions including the lid are 47cm,35cm,15cm is made of wood 1.5cm thick . What is the capacity of the box and what is the volume of the wood used in it?

Answer 1

Hi friend ✋✋✋✋
----------------
Your answer
-------------------

External dimensions of a cuboidal box= 47 cm × 35 cm × 15 cm

Thickness of the box = 1.5 cm

Then,
----------

Internal dimensions : -

Length = [47 - (2×1.5)] cm = 44 cm

Breadth = [35 - (2× 1.5)] cm = 32 cm

As it is not mentioned that the box is closed or open , we are assuming it to be closed.

Height = [15 - (2×1.5)] cm = 12 cm

So,
------

Capacity of the box = Internal volume

= ( 44 × 32 × 12 ) cm³

= 16896 cm³

Again,
------------

Volume of the wood = External volume - Internal volume

= [ ( 47 × 35 × 15) - (44 × 32 × 12) ] cm³

= [ 24675 - 16896 ] cm³

= 7779 cm³

HOPE IT HELPS