Two gold pieces, each of mass 0.035 g are placed in a box of mass 2.3 g. The total mass of the box with gold pieces is

Options

A. 2.3 g
B. 2.4 g
C. 2.37 g
D. 2.370 g

Answer

To find the total mass of the box with the gold pieces, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Masses**:
- Mass of the box = 2.3 g
- Mass of each gold piece = 0.035 g
- Number of gold pieces = 2

2. **Calculate the Total Mass of the Gold Pieces**:
- Total mass of gold pieces = Mass of one gold piece × Number of gold pieces
- Total mass of gold pieces = 0.035 g × 2 = 0.070 g

3. **Calculate the Total Mass of the Box with Gold Pieces**:
- Total mass = Mass of the box + Total mass of gold pieces
- Total mass = 2.3 g + 0.070 g = 2.370 g

4. **Consider Significant Figures**:
- The mass of the box (2.3 g) has 2 significant figures.
- The total mass calculated (2.370 g) has 4 significant figures.
- Since we need to report the answer with the least number of significant figures (which is 2), we round 2.370 g to 2.4 g.

5. **Final Answer**:
- The total mass of the box with the gold pieces is **2.4 g**.