Question

13. A rectangular tank is 60 cm wide and 100 cm long. It can hold up to 150liters of water when full. If you fill half of the tank, what is the height of thewater in centimeters? *

Answer 1

We have the following:

$V=l\cdot w\cdot h$

where, V is the volume 150 liters

l is the long = 100 cm

w is the wide = 60 cm

h is the height = ?

We must convert liters to cubic centimeters, as follows:

$\begin{gathered} 1L=1000\operatorname{cm}^3 \\ 150L\cdot\frac{1000\operatorname{cm}}{1L}=150000\operatorname{cm} \\ \end{gathered}$

The height if you fill half of tank (150000/2 = 75000 cm^3):

$\begin{gathered} h=\frac{V}{l\cdot w} \\ h=\frac{75000\operatorname{cm}^3}{60\operatorname{cm}\cdot100\operatorname{cm}}=12.5\operatorname{cm} \end{gathered}$

Therefore, the height is 12.5 centimeters