The volume of a single tungsten atom is 1.07×10-23 cm3. What is the volume of a tungsten atom in microliters?
1 answer:
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1) Area of one side of each cube
The area of one side of each cube can be calculated by multiplying the length times the width:
where
L = length
W = width
For cube A:
So the area is:
For cube B:
So the area is:
For cube C:
So the area is:
2) Surface area of each cube
The surface area of a cube is given by the sum of the areas of all its faces. Since a cube has 6 identical faces, this means that the total surface area is equal to 6 times the area of one face:
where
is the area of one face of the cube
For cube A, the area of one face is
So the surface area of cube A is
For cube B, the area of one face is
So the surface area of cube B is
For cube C, the area of one face is
So the surface area of cube C is
3) Volume of each cube
The volume of a cube is obtained by multiplying its length, its width and its height:
Where:
L = length
W = width
H = height
Moreover for a cube, all the sides have equal length, so
So the volume can be rewritten as
For cube A: L = 1 cm
So the volume is
For cube B: L = 2 cm
So the volume is
For cube C: L = 3 cm
So the volume is
4) Ratio surface area/volume for each cube
In this part, we have to calculate the ratio between surface area and volume of each cube:
where
A is the surface area
V is the volume
For cube A, we have:
(surface area)
(volume)
So the ratio for cube A is:
For cube B, we have:
(surface area)
(volume)
So the ratio for cube B is:
For cube C, we have:
(surface area)
(volume)
So the ratio for cube C is: