A Box with Lid is Made of 2 Cm Thick Wood. Its External Length, Breadth and Height Are 25 Cm, 18 Cm and 15 Cm Respectively - Mathematics

A box with lid is made of 2 cm thick wood. Its external length, breadth and height are 25 cm, 18 cm and 15 cm respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume of the wood used in it.

Solution

Given external dimensions of cuboid are

l=25cm, b=18cm,h=15cm.

∴External volume =lxxbxxh

=25xx18xx15cm^2

=6750cm^2

Internal dimension of cuboid.

l=25-2xx"thickness"=25-4=21cm.

h=15-4=11cm.

internal volume = l x b x h

=21xx14xx11cm^3

=3234cm^3

∴Volume of liquid that can be placed =3234cm^3

Now, volume of wood = external volume – Internal volume

=6750-3324

=3516 cm^3

Concept: Volume of a Cuboid
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 11 | Page 30

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