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: Convert the waste quantity into kilograms. \[ 20\ \text{tonnes} =20\times1000 =20000\ \text{kg} \]

Step 2: Use the density relation. \[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} = \frac{20000}{1000} = 20\ \mathrm{m^3} \] Therefore, \[ \boxed{20\ \mathrm{m^3}} \] Hence, \[ \boxed{(C)} \] is the correct answer.