Question

A wooden object has a mass of 10.782 g and occupies a volume of 13.72 mL. What is the density of the object determined to an appropriate number of significant figures?

a. 7.9 × 10-1 g/mL
b. 7.86 × 10-1 g/mL
c. 7.859 × 10-1 g/mL
d. 7.8586 × 10-1 g/mL

Answer 1

The density of the wooden object is 0.786 g/mL.

Step-by-step explanation:

The density of an object can be determined by dividing its mass by its volume. In this case, the object has a mass of 10.782 g and occupies a volume of 13.72 mL. To find the density, divide the mass by the volume:

Density = Mass / Volume

Using the provided values:

Density = 10.782 g / 13.72 mL = 0.7859 g/mL

Based on significant figures, the answer should be rounded to match the measurement with the least number of significant figures, which is the volume measurement with three significant figures. Therefore, the correct density of the object is 0.786 g/mL, which is option b. 7.86 × 10-1 g/mL.