Question

Sophia manages a landfill. Sophia decides to measure the rate at which trash increases in volume to fill the landfill as the number of households served increases.
What would be an appropriate unit for Sophia's purpose?

Answer 1

m3 /household

m to the third power over house hold is the correct answer

Answer 2

Answer with explanation:

If you look at the objects which are thrown as a trash, it is a two or three dimensional object which occupies space and has mass.

As it is a solid waste.

And the landfill in which these trash are thrown is also three dimensional.

So, Unit of volume , when the object inside it is a solid will be either

 $m^3, cm^3,{\text{or}} km^3$

As number of household increases ,space occupied by landfill increases.

→Number of household= k × space occupied by landfill ,where k is a sign of proportionality.

If number of house hold is represented by H,

Then appropriate unit for Sophia's purpose will be

   $\frac{m^3}{H}.\frac{cm^3}{H},\frac{km^3}{H}$