Question

Find the volume of a cuboid whose dimensions are:

(a) length = 15 cm, width = 12 cm and height = 8 cm

(b) length = 4 m, width = 2.6 m and height = 80 cm

Answer 1

(a) Given that, the length, width and height of the cuboid are $15cm,12cm\text{and}8cm$, respectively.

We know that, $\text{Volume of a cuboid}=lbh\text{cubic units}$

Here, $l=15cm,b=12cm\text{and}h=8cm$

$\therefore volume=15\times 12\times 8=1440c{m}^3$

Hence, the volume of a cuboid with given dimensions is $1440c{m}^3$

(b) Given that, the length, width and height of the cuboid are $4m,2.6m\text{and}80cm$, respectively.

We know that, $\text{Volume of a cuboid}=lbh\text{cubic units}$

Here, $l=4m,b=2.6m\text{and}h=80cm$

We can see that the units are not same.

We know that $100cm=1m$

$\therefore 80cm=\frac{80}{100}m=0.8m$

Hence, $h=0.8m$

So, $volume=4\times 2.6\times 0.8=8.32m^3$

Hence, the volume of a cuboid with the given dimensions is $8.32m^3$