# A cuboid has a volume of 18,000 cm3. lt has a length of 36 cm and a width of 15 cm. How do you find its height?

Nov 21, 2016

Height is $33 \frac{1}{3}$ $c m$.

#### Explanation:

Volume of a cuboid is the product of its length, width and height, where all these dimensions are in the same unit. The unit of volume, then is cube of the unit for lengths.

Now volume of the cuboid is $18 , 000$ $c {m}^{3}$.

Further, it's length is $36$ $c m$ and it's width is $15$ $c m$. Let its height be $h$ $c m$.

Then $36 \times 15 \times h = 18000$

and $h = \frac{18000}{36 \times 15} = \frac{1000 \cancel{18000}}{2 \cancel{36} \times 15}$

= $\frac{1000}{30} = \frac{100 \cancel{1000}}{3 \cancel{30}} = \frac{100}{3} = 33 \frac{1}{3}$

Hence height is $33 \frac{1}{3}$ $c m$.

Nov 21, 2016

33 cm

#### Explanation:

Volume[V] of cuboid is Length [L] * width [W] * Height [H]

Or $V = L \cdot W \cdot H$

or $H = \frac{V}{L \cdot W}$

or $H = \frac{18000}{36 \cdot 15}$

or $H = \frac{18000}{540}$

Simplification removing 0 from both side

or H=$\frac{1800}{54}$

further division by a common No. 18

$H = \frac{100}{3}$

or 100 divide by 3

$\frac{100}{3}$=33.33

By rounding off 33.33 the whole figure is 33

Answer is 33 cm