Question

1. calculate the mass of a liquid with a density of 2.5 g/ml and a volume of 15ml.
2. calculate the volume of a liquid with a density of 5.45g/ml and a mass of 65g.
3. a carver begins work on a block of granite below. if the block of granite has a mass of 2700 g, what is the density of the gra
4. an ice cube has a volume of 12 cm³, and a mass of 11 g.

a) what is the density of the ice?
b) if water has a density of 1.00g/ml then explain why ice will float.

Explanation:

Step1: Recall density formula

$D=\frac{M}{V}$, so $M = D\times V$ and $V=\frac{M}{D}$

Step2: Solve question 3

$M = 2.5\times15=37.5$ g

Step3: Solve question 4

$V=\frac{65}{5.45}\approx11.93$ mL

Step4: Solve question 6a

$D=\frac{11}{12}\approx0.92$ g/cm³

Step5: Solve question 6b

Ice floats as its density (0.92 g/cm³) is less than water's (1.00 g/mL).

Answer:

1. 37.5 g
2. 11.93 mL

6a. 0.92 g/cm³
6b. Ice's density is less than water's.