Question

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

Answer 1

Length of metal block (l)=2.25 m =225 cm

Width (b)=1.5 m =150 cm

and height (h)=27 cm

$\therefore$ Volume of block $=l\times b\times h=225\times 150\times 27c{m}^3$

$=911250c{m}^3$

Side of each cube =45 cm.

$\therefore$ Volume of each cube $=a^3$

$=45\times 45\times 45$

$=91125c{m}^3$

$\therefore$ Number of cubes $=\frac{911250}{91125}=10$