Complete Question:
The density of aluminium is 2.70g/cm³. The thickness of a rectangular sheet of aluminium foil varies, but is much less than 1 mm.
A student wishes to find the average thickness. She obtain the following measurements
Mass of sheet = 60.7g
Length of sheet = 50.0cm
Width of sheet = 30.0 cm
Calculate the student's values for
(i) the volume of the sheet
(ii) the average thickness of the sheet
Answer:
Thickness = 0.015 cm
Step-by-step explanation:
Given the following data;
- Mass of sheet = 60.7g
- Length of sheet = 50.0cm
- Width of sheet = 30.0 cm
- Density = 2.70g/cm³
I. To find the volume of the sheet;
Density can be defined as mass all over the volume of an object.
Simply stated, density is mass per unit volume of an object.
Mathematically, density is given by the formula;
Making volume the subject of formula, we have;
Substituting into the formula, we have;
Volume = 22.48 cm³
II. Volume = length * width * height
But, height = thickness
Volume = length * width * thickness
22.48 = 50 * 30 * thickness
22.48 = 1500 * thickness
Thickness = 0.015 cm
Conversion:
1 mm = 0.1 cm
X mm = 0.015 cm
X = 0.015/0.1 = 0.15 mm
Therefore, the thickness of the rectangular sheet of aluminium foil is less than 1 millimetre.