The dimensions of a metal block are 2.25 m by 1.5 m by 27 cm. It is me

1.	The dimensions of a metal block are 2.25 m by 1.5 m by 27 cm. It is melted and recast into cubes, each of side 45 cm. How many cubes are formed?
Answer» We know that, 1 m = 100 cm Also, Volume of a cuboid = Length × Breadth × Height Therefore, Volume of the original block = 225 × 150 × 27 = 911250 cm³ Given that, Length of the edge of the cube = 45 cm Therefore, Volume of one cube = a³ = (45)³ = 91125 cm³ Hence, Total number of blocks that can be cast = \(\frac{Volume\,of\,the\,block}{Volume\,of\,the\,cube}\) = \(\frac{911250}{91125}\) = 10

The dimensions of a metal block are 2.25 m by 1.5 m by 27 cm. It is melted and recast into cubes, each of side 45 cm. How many cubes are formed?

Answer»

We know that,

1 m = 100 cm

Also,

Volume of a cuboid = Length × Breadth × Height

Therefore,

Volume of the original block = 225 × 150 × 27

= 911250 cm³

Given that,

Length of the edge of the cube = 45 cm

Therefore,

Volume of one cube = a³ = (45)³

= 91125 cm³

Hence,

Total number of blocks that can be cast = \(\frac{Volume\,of\,the\,block}{Volume\,of\,the\,cube}\)

= \(\frac{911250}{91125}\)

= 10