10 A block of wood is in the form of a cube and its edge is 4m. How many cuboidal pieces of size 20cm x 10cm x 5cm can be cut from the block if there is no wastage of wood?
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Hi there !!
Here's your answer
Edge of block of wood = 4m = 400cm
Volume = side³ = (400cm)³ = 64000000cm³
Dimensions of each cuboidal piece :
Length = 20cm
Breadth = 10cm
Height = 5cm
Volume = length × breadth × height
Volume = 20cm × 10cm × 5cm
Volume = 1000 cm³
Number of cuboidal piece that can be cut from it
= \frac{volume \: of \: wooden \: cube}{volume \: of \: each \: cuboidal \: piece}=
volumeofeachcuboidalpiece
volumeofwoodencube
= \frac{64000000cm {}^{3} }{1000cm {}^{3} }=
1000cm
3
64000000cm
3
= 64000
Thus,
64000 such cuboidal pieces can be cut from the wood
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