Question

A cuboid block of wood has length 18 m, breadth 6 m and height 4.5 m, How many cubical blocks of edge 30 cm can be cut from it?

Answer 1

Given length of cuboid block $=18$ cm

Breadth of cuboid block $=6$ m

Height of cuboid block $=4.5$ m.

Volume of cuboid $=lbh=$ $18\times 6\times 4.5$

volume = $81.0\times 6=486m^3$

now edge cube $=30$ cm.

Volume of cube = $(30{)}^3=27000c{m}^3$

Volume = $0.027m^3$

Now number of cuboidal block can be cut-off from

Cuboid block = $\frac{volumeofcuboid}{volumeofcube}$

no. of blocks = $\frac{486}{0.027}=18000$

$\therefore 18000$ cube blocks can be cutoff from given cuboid block.