question_answer

How many 3 metre cubes can be cut from a cuboid measuring 18 m \[\times \] 12 m \[\times \] 9 m ?

Answer:

\[\because \] Volume of cube \[=\text{ }{{\left( side \right)}^{3}}\]

Given: side of cube = 3m

So, volume of cube \[=\text{ }{{\left( 3 \right)}^{3}}\]

\[=\text{ }27\text{ }{{m}^{3}}\]

and Volume of cuboid = length \[\times \] breadth \[\times \] height

\[=18\times 12\times 9\text{ }{{m}^{3}}\]

\[Therefore,\text{ }Number\text{ }of\text{ }cubes\text{ }=\frac{Volume\text{ }\left( cuboid \right)}{Volume\text{ }\left( cube \right)}\]

\[=\frac{18\times 12\times 9}{27}=72\]