One iron solid is a cuboid of dimension 30cm x 30 cm x 42.6cm.It is melted and cubes each of 3 cm are mouled from it.Find the number of cubes formed.

 Volume of the solid cuboid = l*b*h = 30*30*42.6 cm cube.

Volume of one melted cube = (side)3 = 3*3*3cm cube.

Number of cubes = Volume of cuboid/Volume of Cube = 30*30*42.6/3*3*3 = 1420.

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One iron solid is a cuboid of dimensions 30cm x 30cm x 42.6 cm.It is melted and cubes each of side 3 cm are melted from it.Find the number of cubes formed.

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Given :-

 

dimensions of the cuboid :-

 

  • length = 30cm

 

  • breadth = 30cm

 

  • height = 42.6cm

 

dimensions of the cube :-

 

  • side = 3cm

 

ATQ, the solid cuboid of the given dimensions is melted and converted into small cubes of side 3cm.

 

we've to find the no. of cubes formed.

 

for that we needa divided the volume of cuboid by the volume of the cube.

 

hence, the no.s of cube formed = (30 × 30 × 42.5)/(3 × 3 × 3)

 

= (10 × 10 × 42.5)/3

 

= 4250/3

 

= 1416.6 approximately

 

hence, 1416 full cubes can be formed from the cuboid.

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