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Perform this operation and report the answer to the correct number of significant figures: What is the mass of a cube of aluminum that is 4.0 cm on each edge? The density of aluminum is 2.7 g/cm^3. Show
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Mar 22, 2017
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Perform this operation and report the answer to the correct number of significant figures: What is the mass of a cube of aluminum that is 4.0 cm on each edge? The density of aluminum is 2.7 g/cm^3. Show all calculations leading to an answer.
Mathematics
high-school
Guilhebl
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The answer is 172.8 g.
The volume of the cube (V) is:
V = a³ (a - the side of the cube)
The density (D)
is quotient of mass (m) and volume (V):
D = m/V = m/a³
⇒ m = D · a³
It is given:
D = 2.7 g/cm
³
a = 4 cm
Therefore:
m = D · a³ = 2.7 · 4³ = 172.8 g
Everts
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Mar 25, 2017
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Everts
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