
Concept explainers
(a)
Interpretation:
Density of a marble must be found out which has mass and volume 18.5 g and 6.45 cm3 respectively.
Concept introduction:
Density of a substance is the ratio of mass to the volume.
Thus,
Here, m is mass and V is volume.

Answer to Problem 7E
Density of the marble is 2.87 g/cm3
Explanation of Solution
Mass of the marble is give as 18.5 g. Volume is given as 6.45 cm3.
The density can be calculated as follows:
Putting the values,
(b)
Interpretation:
Mass and volume of six marbles must be found out where each marble has mass and volume of 18.5 g and 6.45 cm3 respectively.
Concept introduction:
Mass and volume are additive in nature.

Answer to Problem 7E
Mass of six marbles is 111g and volume of six marbles is 38.7 cm3.
Explanation of Solution
One marble has mass of 18.5 g.
So, six marbles will have mass of
Similarly, volume of six marbles
(c)
Interpretation:
The density of one marble needs to be compared with density of six marbles.
Concept introduction:
Density is same for all similar objects. It is not an additive property.

Answer to Problem 7E
Density of one marble is same to the density of six marbles.
Explanation of Solution
Density is not an additive property. Thus, density will not change when number of marble is changed from one to six. So, all the similar marbles will have same density, that is, 2.87 g/cm3.
Chapter U1 Solutions
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