Sugar Cube Calculations
1. **State the problem:**
We have a box of sugar cubes with a total mass of 500 g and containing 144 cubes. The box dimensions are 19 cm by 10 cm by 3 cm.
2. **Find the mass of one sugar cube:**
The total mass is 500 g and there are 144 cubes.
Mass of one cube = $\frac{500}{144} \approx 3.47$ g
3. **Find the volume of the box:**
Volume = length \times width \times height
Volume = $19 \times 10 \times 3 = 570$ cm$^3$
4. **Find the volume of one sugar cube:**
Volume of one cube = $\frac{\text{Volume of box}}{\text{Number of cubes}} = \frac{570}{144} \approx 3.96$ cm$^3$
**Final answers:**
- Mass of one sugar cube: 3.47 g
- Volume of the box: 570 cm$^3$
- Volume of one sugar cube: 3.96 cm$^3$