Question

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 1

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