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?
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 = 
= 
= 10
28