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How Many Cubic Centimeters of Iron Are There in an Open Box Whose External Dimensions Are 36 Cm, 25 Cm and I 6.5 Cm, the Iron Being 1.5 Cm Thick Throughout?

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Question

How many cubic centimeters of iron are there in an open box whose external dimensions are 36 cm, 25 cm and I 6.5 cm, the iron being 1.5 cm thick throughout? If I cubic cm of iron weighs 15g, find the weight of the empty box in kg.

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Solution

`"Outer dimensions"`

`l=36 m`

`b=25cm`

`h=16.5cm`

Inner dimensions

`l=36-(2xx1.5)=33cm`

`b=25-(3)=22cm`

`h=16.5-1.5=15cm`

Volume of iron = outer volume – inner volume

`=(36xx25xx16.5-33xx12xx15)cm^2=3960cm^3`

Weight of iron =`3960xx1.5gm=59400gm=59.4kg`

 

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Chapter 18: Surface Areas and Volume of a Cuboid and Cube - Exercise 18.2 [Page 31]

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R.D. Sharma Mathematics [English] Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 25 | Page 31

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