Question

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Answer 1

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Answer 2

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A rectangular solid of metal has dimensions 50 cm, 64 cm, 72 cm. It is melted and recasted into identical cubes each with edge 4 cm. Find the number of cubes formed ?

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Length of rectangular metal (l) = 50 cm

Breadth of rectangular metal (b) = 64 cm

Height of rectangular metal (h) = 72 cm

Volume of rectangular metal = lbh

Volume = 50×64×72

Volume of rectangular metal = 230400 cm³

Side of one cube = 4 cm

Volume of cube = (Side)³

Volume of one cube = 4³

Volume of one cube = 64 cm³

Number of cubes formed

= $\frac{Volume{of {rectangular {metal}}}}{Volume of cube}$

= $\frac{230400}{64}$

= 3600 cubes