Question

A landfill receives 20 tonnes/day of waste with compacted density of \(1000\,\mathrm{kg/m^3}\). The daily volume of landfill required is

• A. \(10\,\mathrm{m^3}\)
• B. \(15\,\mathrm{m^3}\)
• C. \(20\,\mathrm{m^3}\)
• D. \(25\,\mathrm{m^3}\)

Hint:

For landfill calculations, \[ \boxed{ \text{Volume} = \frac{\text{Mass}}{\text{Density}} } \] Remember: \[ 1\ \text{tonne}=1000\ \text{kg}. \]

Answer 1

The Correct Option is C

Step 1: Write down what is given.
Waste generated per day $= 20$ tonnes, compacted density $= 1000\,\mathrm{kg/m^3}$.
Step 2: Bring everything to the same units.
Since $1$ tonne $= 1000\,\mathrm{kg}$, the daily waste mass is \[ 20 \times 1000 = 20000\,\mathrm{kg} \]
Step 3: Use volume equals mass divided by density.
\[ \text{Volume} = \frac{20000\,\mathrm{kg}}{1000\,\mathrm{kg/m^3}} = 20\,\mathrm{m^3} \]
so this is the space the landfill must set aside each day for the compacted waste.
\[ \boxed{20\,\mathrm{m^3}} \]