18.72g of a substance 'X'occupies 1.81cm³.What will be it's density measured in correct significant figures?(1)10.3gcm-³(2)10.34gcm-³(3)10.4gcm-³(4)10.3425gcm-³?

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**Density and its Formula:**

Density is a physical property that relates the mass of a substance to its volume. It is defined as the mass per unit volume. The formula for density is:

Density = Mass/Volume

**Given Data:**

Mass of substance X = 18.72g

Volume of substance X = 1.81cm³

**Calculating Density:**

To calculate the density of substance X, we need to divide the mass of substance X by its volume.

Density = 18.72g / 1.81cm³

Now, let's calculate the density using the given data.

Density = 10.3287 g/cm³ (approximately)

**Significant Figures:**

Significant figures are the digits in a number that carry meaning in terms of precision. In this case, the given mass (18.72g) has four significant figures, and the given volume (1.81cm³) has three significant figures.

When dividing or multiplying measurements, the result should be rounded to the same number of significant figures as the measurement with the fewest significant figures. In this case, the volume has the fewest significant figures (three), so the density should also be rounded to three significant figures.

**Rounded Density:**

The rounded density, with three significant figures, is 10.3 g/cm³.

**Conclusion:**

Therefore, the correct density of substance X, measured in correct significant figures, is 10.3 g/cm³. So, the correct option is (1) 10.3 g/cm³.

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