Question

A wooden box ( Including The Lid) has external dimensions of 40 by 34 by 30 cm. If The wood Is 1 cm thick how many cm[cube of wood are there in it

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

• The volume of the wood in the box is 6752cm³

Step-by-step Explanation:

Given :

• A wooden box has external dimensions of 40 by 34 by 30
• The wood of the box is 1cm thick in size

To Find :

• How many cm³ of wood is there in the box

External dimensions :

• Length of box = 40cm
• Breadth of box = 34cm
• Height of box =  30cm

Internal dimensions :

• Length of box = 40 - ( 1 × 2 ) = 38cm
• Breadth of box = 34 - ( 1 × 2 ) = 32cm
• Height of box =  30 - ( 1 × 2 ) = 28cm

Formula Used :

• Volume of a cuboid = Length × Breadth × Height

External Volume :

• Volume = L × B × H
• Volume = 40 × 34 × 30
• Volume = 1360 × 30
• Volume = 40800cm ³

Henceforth :

• The external volume of the cuboid is 40800cm³

Internal Volume :

• Volume = L × B × H
• Volume = 38 × 32 × 28
• Volume = 1216 × 28
• Volume = 34048cm³

Henceforth :

• The internal volume of the box is 34048cm³  

Volume of wood :

• Volume of wood = V₁ - V₂
• Volume of wood = 40800 - 34048
• Volume of wood = 6752 cm ³

Therefore :

• The volume of the wood present in the box is 675cm ³

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