Respuesta :
Answer:
1.20g/mL
Explanation:
Step 1:
Data obtained from the question. This include the following:
Height of substance = 3.60 cm
Length of substance = 4.21 cm
Width of substance = 1.17 cm
Mass of substance = 21.3 g
Density of substance =...?
Step 2:
Determination of the volume of the substance.
The volume of the substance can be obtained as follow:
Volume = length x width x height
Volume = 4.21 x 1.17 x 3.60
Volume = 17.73cm³
Recall:
1cm³ = 1mL
Therefore, 17.73cm³ = 17.73mL
Therefore, the volume of the substance is 17.73mL.
Step 3:
Determination of the density of the substance.
The Density of a substance is simply defined as the mass per unit volume of the substance. Mathematically, it is represented as:
Density = Mass /volume
With the above formula, we can obtain the density of the substance as follow:
Mass of substance = 21.3 g
Volume of substance = 17.73mL
Density =..?
Density = Mass /volume
Density = 21.3/17.73
Density = 1.20g/mL
Therefore, the density of the substance is 1.20g/mL.
The density of the unknown substance has been 1.20 g/ml.
The unknown substance has been of rectangle shape. The volume of the rectangular unknown substance can be given by:
Volume = Length × Width × Height
The given length = 2.21 cm
Width = 1.17 cm
Height = 3.60 cm
Substituting the values for volume:
Volume of unknown sample = 4.21 cm × 1.17 cm × 3.60 cm
Volume of the unknown substance = 17.732 [tex]\rm cm^3[/tex]
1 [tex]\rm cm^3[/tex] = 1 ml
7.732 [tex]\rm cm^3[/tex] = 17.732 ml.
The volume of the unknown substance has been 17.732 ml.
Density can be expressed as the mass per unit volume. The expression will be:
Density = [tex]\rm \dfrac{Mass}{Volume}[/tex]
The mass of the unknown substance = 21.3 g.
The volume of the unknown substance was calculated = 17.732 ml.
The density can be given as;
Density of the unknown substance = [tex]\rm \dfrac{21.3\;g}{17.732\;ml}[/tex]
The density of the unknown substance = 1.20 g/ml.
The density of the unknown substance has been 1.20 g/ml.
For more information about density, refer to the link:
https://brainly.com/question/5602264