1. rank the following in terms of increasing density:
a. a100 g object with a volume of 25 cubic centimeters
b. a 200 g object with a volume of 100 cubic centimeters
c. a 100 g object with a volume of 100 cubic centimeters
d. a 400 g object with a volume of 50 cubic centimeters

C < B < A < D

Explanation:

Density is defined as the quotient of Mass divided by Volume, therefore we need to find that quotient for each case in order to rank them:

Case A:

Case B:

Case C:

Case D:

So the ranking in INCREASING density is:

C < B < A < D

The density of the objects in increasing order is given as C B A D.

Density is the property of mater which compares amount of mater of an object and volume of an object.

The density is given by the formula:

Where,

‘ρ’ is density

‘m’ is mass of an object

‘V’ is volume of an object

Take object A of 100 g object with a volume of 25 cubic centimetres:

We know that, and

Density of A is:

Take object A 200 g object with a volume of 100 cubic centimetres:

We know that, and

Density of B is:

Take object A 100 g object with a volume of 100 cubic centimetres:

We know that, and

Density of C is:

Take object A 400 g object with a volume of 50 cubic centimetres:

We know that, and

Density of object D is:

From the above calculation, on comparing,