Question

A block of wood in the shape of cuboid has length $2.5m$, breadth $1.5m$ and height $2m$. How many cubical blocks, each of edge $50cm$ can be cut from it?

Answer 1

Volume of a cuboid with length $L=2.5$m, breadth $B=1.5$m and height $H=2$m

$\Rightarrow lbh=2.5\times 1.5\times 2=7.5$ sq .metre

$=7.5\times 100$ cm$\times 100$ cm $\times 100$cm

Volume of a cube of length $=50\times 50\times 50$ cubic centimetre

$=125\times 1000$ cubic centimetre

$=1.25\times {10}^5$ cubic centimetre .

No. of blocks cut from the cuboid $=\frac{7.5\times {10}^6}{1.25\times {10}^5}=60$