Question

which phase of matter has the highest density?
solid
gas
liquid

complete the work for the question below.
how many inches is 0.026 yards? (1 foot = 12 inches, 1 yard = 3 feet)

what is the mass of an unknown object whose volume is 36.8 ml and density is 9.6 g/ml? express your answer with 1 decimal place.

Explanation:

Step1: Answer first question

In general, for most substances, the solid phase has the highest density as the particles are more closely - packed compared to gas and liquid phases. So the answer to "Which phase of matter has the highest density?" is solid.

Step2: Convert yards to inches

We know that 1 yard = 3 feet and 1 foot = 12 inches. So to convert 0.026 yards to inches, we first convert yards to feet: \(0.026\times3 = 0.078\) feet. Then convert feet to inches: \(0.078\times12=0.936\approx0.94\) inches.

Step3: Calculate mass

The formula for density is \(
ho=\frac{m}{V}\), where \(
ho\) is density, \(m\) is mass and \(V\) is volume. Rearranging for mass gives \(m =
ho\times V\). Given \(V = 36.8\) mL and \(
ho=9.6\) g/mL, then \(m=9.6\times36.8 = 353.28\approx353.3\) g.

Answer:

1. Solid
2. 0.94 inches
3. 353.3 g