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Question

The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 5 mm. If the empty box weighs 3.15 kg, then the weight of 1 cm3 of wood is ________.

A

7 grams

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B

15 grams

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C

10 grams

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D

1 grams

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Solution

The correct option is C

10 grams


External volume of cuboid,
V=lbh
V=18×10×6 cm3
V=1080 cm3

Thickness, t=0.5 cm. Internal dimensions =

External dimensions - 2 x thickness
l=18 1=17 cm,
b=101=9 cm,
h=61=5 cm.

Internal volume,
V=17×9×5 cm3
V=765 cm3

Volume of wood = external volume – internal volume
Vw=VV
Vw=1080765 cm3
Vw=315 cm3

Mass of 1 cm3 of wood,
m=Weight of the empty boxVolume of the wood
m=3.15315 kg
m=3150315grams
m=10 grams

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