Question

a sugar cube has a volume of about 1 cubic centimeter. about how large of a box would you need to hold 1,000,000 sugar cubes?

1. exploration

find some things around the school or house. what unit would you use to measure their volume? choose one of your objects and estimate its volume.

Explanation:

Step1: Calculate total volume

The volume of one sugar - cube is $V_1 = 1$ $cm^3$. We have $n = 1000000$ sugar - cubes. The total volume $V$ of all the sugar - cubes is $V=n\times V_1$.
$V = 1000000\times1=1000000$ $cm^3$.

Step2: Convert volume units

We know that $1$ $m^3=100\times100\times100$ $cm^3 = 1000000$ $cm^3$. So the volume of the box needed to hold 1000000 sugar - cubes is $1$ $m^3$.

Answer:

The box would need to have a volume of about 1 cubic meter.