The external dimensions of an open wooden box are 65 cm 34 cm and 25 cm. If the box is made up of 2 cm thick wood find the capacity of the box and volume of the wood used
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44,850 cm³ and 2,760 cm³ is the capacity of the box and volume of the wood respectively.
Step-by-step explanation:
- In context to the given question, We have to find the capacity of the box and volume of the wood used.
⇒ external dimensions of the box are 65 cm 34 cm and 25 cm.
And as the thickness is 2cm internal dimension would be,
length = 65 - ( 2x2 ) = 61 cm
breadth = 34 - ( 2x2 ) = 30 cm
height = 25 - 2 = 23 cm
⇒ Internal dimensions of the box are 61cm 30 cm and 23 cm
Volume of Cuboid = l x b x h
Therefore,
Volume of external cuboid = 65 x 30 x 23
= 44,850 cm³
Volume of internal cuboid = 61 x 30 x 23
= 42,090 cm³
⇒ Volume of wood used = 44,850 - 42,090
⇒ Volume of wood used = 2,760 cm³
∴ 44,850 cm³ and 2,760 cm³ is the capacity of the box and volume of the wood respectively.
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