The correct answer to the question is: The density of Block A is equal to the density of Block B.
The density of an object is defined as the mass per unit volume of the object. Mathematically, it is expressed as:
Density = mass / volume
To know which option is correct, we shall determine the density of block A, B and C.
For Block A:
Mass of A = 2 Kg
Length = 5 cm
Height = 2 cm
Width = 1 cm
Volume = Length × Width × Height
Volume = 5 × 1 × 2
Volume of A = 10 cm³
Density of A =?
Density = mass / volume
Density = 2 / 10
Density of A = 0.2 Kg/cm³
For Block B:
Mass of B = 2 Kg
Length = 1 cm
Height = 5 cm
Width = 2 cm
Volume = Length × Width × Height
Volume = 1 × 2 × 5
Volume of B = 10 cm³
Density of B =?
Density = mass / volume
Density = 2 / 10
Density of B = 0.2 Kg/cm³
For Block C:
Mass of C = 3 Kg
Length = 5 cm
Height = 1 cm
Width = 2 cm
Volume = Length × Width × Height
Volume = 5 × 2 × 1
Volume of C = 10 cm³
Density of C =?
Density = mass / volume
Density = 3 / 10
Density of C = 0.3 Kg/cm³
SUMMARY
Density of A = 0.2 Kg/cm³
Density of B = 0.2 Kg/cm³
Density of C = 0.3 Kg/cm³
From the above calculations, we obtained the following:
1. The density of block A and B are equal.
2. Block C has the highest density.
Thus, the correct statement is: The density of Block A is equal to the density of Block B.
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