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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 - CBSE Class 9 - Mathematics

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Question

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`

 

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 18: Surface Areas and Volume of a Cuboid and Cube
Ex.18.20 | Q: 11 | Page no. 30
Solution 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 Concept: Volume of a Cuboid.
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