Multiple Choice
You have a 100 gram sample of each of the following metals. Which sample has the largest volume?
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1. Intro to General Chemistry
Density of Geometric Objects
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A cube has sides of length 3 nm. What are the surface area and volume of the cube?
A
Surface area: 27 nm^2; Volume: 9 nm^3
B
Surface area: 36 nm^2; Volume: 18 nm^3
C
Surface area: 18 nm^2; Volume: 9 nm^3
D
Surface area: 54 nm^2; Volume: 27 nm^3
Verified step by step guidance1
Identify the formula for the surface area of a cube: \(SA = 6 \times a^2\), where \(a\) is the length of one side of the cube.
Identify the formula for the volume of a cube: \(V = a^3\), where \(a\) is the length of one side of the cube.
Substitute the given side length \(a = 3\) nm into the surface area formula: \(SA = 6 \times (3\, \text{nm})^2\).
Substitute the given side length \(a = 3\) nm into the volume formula: \(V = (3\, \text{nm})^3\).
Calculate the numerical values for surface area and volume using the substituted expressions to find the correct answer.
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