# A cubical solid of metal has lenght,breadthand height as 40cm,30cm and 25 cm.If this solid is melted and recasted into solid cubes each of side 5 cm,find the number of cubes formed.

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Breadth = 30 cm

Height = 25 cm

Volume of the cuboidal metal solid = lbh

= 40 x 30 x 25

= 30000 cm^3

Volume obtained Cubical box by melting = 6a^3

= 6 x 5 x 5 x 5

= 750 cm^3

Number of cubes obtained = Initial volume / final volume

= 30000/750

Ans: = 40

Therefore number of cubes = 40.

Hope this helped you. And please confirm with ur teachers or any experts here if any wrong I have done. I think the sum is correct!. :-)

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It is a cuboid with dimension

length = 40 cm

breadth = 30 cm

height = 25 cm

Volume(V)= lbh = 40×30×25 = 30000 cm³

Dimension of small cube obtained after recast is 5cm

volume(v) = a³ = 5³ = 125 cm³

Number of cubes= V/v = 30000/125 =**240**

So total 240 cubes can be obtained.

length = 40 cm

breadth = 30 cm

height = 25 cm

Volume(V)= lbh = 40×30×25 = 30000 cm³

Dimension of small cube obtained after recast is 5cm

volume(v) = a³ = 5³ = 125 cm³

Number of cubes= V/v = 30000/125 =

So total 240 cubes can be obtained.