The mass and volume of a body are 4.237 g and `2.5cm^3,` respectively. The density of the meterial of the body in correct significant figures is

Options

A. 1.`1.6948gcm^(-3)`
B. 2. `1.69gcm^(-3)`
C. 3. '`1.7gcm^(-3)`
D. 4. `1.695gcm^(-3)`

Explanation

To find the density of the body given its mass and volume, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Mass (m) = 4.237 g
- Volume (V) = 2.5 cm³

2. **Use the Density Formula**:
- The formula for density (ρ) is given by:
\[ \rho = \frac{m}{V} \]

3. **Substitute the Values**:
- Substitute the values of mass and volume into the formula:
\[ \rho = \frac{4.237 \, \text{g}}{2.5 \, \text{cm}^3} \]

4. **Perform the Calculation**:
- Calculate the density:
\[ \rho = 1.6948 \, \text{g/cm}^3 \]

5. **Determine Significant Figures**:
- The mass (4.237 g) has 4 significant figures.
- The volume (2.5 cm³) has 2 significant figures.
- When performing division, the result should have the same number of significant figures as the measurement with the least significant figures, which in this case is the volume (2 significant figures).

6. **Round the Density to Correct Significant Figures**:
- The calculated density is 1.6948 g/cm³. To round this to 2 significant figures:
- Look at the first two digits: 1.6. The next digit (9) is greater than 5, so we round up.
- Thus, the density rounded to 2 significant figures is 1.7 g/cm³.

### Final Answer:
The density of the material of the body in correct significant figures is **1.7 g/cm³**.

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