Question

The external length breadth and height of a closed wooden box are 30 cm ,18 cm and 20 CM. If the walls of the box is 1.5cm thick, find: a) capacity of the box b) volume of the wood used in making the box c) weight of the box;if 1cmsquare of the wood weighs 0.80g​

Answer 1

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Class 11

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>>Numerical Applications

>>Mensuration

>>The external length, breadth and height

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The external length, breadth and height of a closed rectangular wooden box are 18cm,10cm and 6cm, respectively and the thickness of wood is

2

1

cm. When the box is empty, it weighs 15kg and when filled with sand it weighs 100kg. The weight of a cubic cm of wood and a cubic cm of sand are respectively,

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Solution

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Correct option is B)

Dimension of a closed rectangular wooden box are 18cm,10cm and 6cm, respectively.

The thickness of wood is

2

1

cm

∴ Volume of rectangular wooden block =18×10×6=1080cm

3

And, volume of hollow space in rectangular wooden block =17×9×5=765cm

3

∴ Volume of rectangular wood =(1080−765)cm

3

=365cm

3

Now, weight of empty box =15kg

∴ Weight of a cubic cm of wood =

365

15

=

21

1

kg

Weight of box filled with sand =100kg

Weight of sand =(100−15)kg=85kg

∴ Weight of a cubic cm of sand =

765

85

kg=

9

1

kg