Question:
A cuboidal wooden block contains 36 cm3 wood. If it be 4 cm long and 3 cm wide, find its height.
Solution:
A cuboidal wooden block contains $36 \mathrm{~cm}^{3}$ of wood.
i. e., volume $=36 \mathrm{~cm}^{3}$
Length of the block $=4 \mathrm{~cm}$
Breadth of block $=3 \mathrm{~cm}$
Suppose that the height of the block is $h \mathrm{~cm}$
Now, volume of a cuboid $=$ lenght $\times$ breadth $\times$ height
$\Rightarrow 36=4 \times 3 \times h$
$\Rightarrow 36=12 \times h$
$\Rightarrow h=\frac{36}{12}=3 \mathrm{~cm}$
$\therefore$ The height of the wooden block is $3 \mathrm{~cm}$.