A closed box is made up of wood which is 1cm thick .The outer dimensions of the box is
5 cm x 4 cm x 7 cm. Find the volume of the wood used.
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Solution :
i ) Given the outer dimensions of
the closed box :
Length ( L ) = 5 cm
Breadth ( B ) = 4 cm
Height ( H ) = 7 cm
2 ) Let the thickness of the
wood ( w ) = 1 cm
3 ) Now , Inner dimensions of
the box :
length ( l ) = L - 2w
= 5 - 2 × 1
= 3 cm
Breadth ( b ) = B - 2w
= 4 - 2×1
= 2 cm
Height ( h ) = H - 2w
= 7 - 2×1
= 5 cm
4 ) Volume of the wood used
= LBH - lbh
= 5 × 4 × 7 - 3 × 2 × 5
= 140 - 30
= 110 cm³
Therefore ,
Volume of the wood used = 110 cm³
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