Find the volume in cubic metre (cu. m) of each of the cuboids whose dimensions are:
Question:

Find the volume in cubic metre (cu. m) of each of the cuboids whose dimensions are:

(i) length = 12 m, breadth = 10 m, height = 4.5 cm

(ii) length = 4 m, breadth = 2.5 m, height = 50 cm.

(iii) length = 10 m, breadth = 25 dm, height = 50 cm.

Solution:

(i) Length $=12 \mathrm{~m}$

Breadth $=10 \mathrm{~m}$

Height $=4.5 \mathrm{~m}$

$\therefore$ Volume of the cubo id $=$ length $\times$ breadth $\times$ height

$=12 \times 10 \times 4.5$

$=540 \mathrm{~m}^{3}$

(ii) Length $=4 \mathrm{~m}$

Breadth $=2.5 \mathrm{~m}$

Height $=50 \mathrm{~cm}$

$\quad=\frac{50}{100} \mathrm{~m} \quad(\because 1 \mathrm{~m}=100 \mathrm{~cm})$

$\quad=0.5 \mathrm{~m}$

$\therefore$ Volume of the cub oid $=$ length $\times$ breadth $\times$ height

$=4 \times 2.5 \times 0.5$

$=5 \mathrm{~m}^{3}$

(iii) Length $=10 \mathrm{~m}$

\begin{aligned} \text { Breadth } &=25 \mathrm{dm} \\ &=\frac{25}{10} \mathrm{~m}(\because 10 \mathrm{dm}=1 \mathrm{~m}) \\ &=2.5 \mathrm{~m} \end{aligned}

Height $=25 \mathrm{~cm}=\frac{25}{100} \mathrm{~m}=0.25 \mathrm{~m}$

$\therefore$ Volume of the cuboid $=$ length $\times$ breadth $\times$ height

$=10 \times 2.5 \times 0.25$

$=6.25 \mathrm{~m}^{3}$