A) If the drop is a cube, what is its surface area? (Hint, volume of a cube = L3. Surface area of a cube=6*L2, where L is the length of the cube, and the factor of 6 as a cube has 6 faces). B) For the same drop, what is its surface area if it is a sphere? (Hint, volume of a sphere=4/3*pi*R3. Surface area of a sphere=4*pi*R2.) C) Find the surface area to volume ratios of both objects. Which object (sphere or cube) has a lower surface area to volume ratio? Which shape does the drop favor?
A) If the drop is a cube, what is its surface area? (Hint, volume of a cube = L3. Surface area of a cube=6*L2, where L is the length of the cube, and the factor of 6 as a cube has 6 faces). B) For the same drop, what is its surface area if it is a sphere? (Hint, volume of a sphere=4/3*pi*R3. Surface area of a sphere=4*pi*R2.) C) Find the surface area to volume ratios of both objects. Which object (sphere or cube) has a lower surface area to volume ratio? Which shape does the drop favor?
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Transcribed Image Text:Assume you have a drop of 2 cm³ falling down.
**A) If the drop is a cube, what is its surface area?**
(Hint, volume of a cube = L³. Surface area of a cube = 6 * L², where L is the length of the cube, and the factor of 6 as a cube has 6 faces).
**B) For the same drop, what is its surface area if it is a sphere?**
(Hint, volume of a sphere = 4/3 * π * R³. Surface area of a sphere = 4 * π * R².)
**C) Find the surface area to volume ratios of both objects.**
Which object (sphere or cube) has a lower surface area to volume ratio? Which shape does the drop favor?
Expert Solution
Step 1
Volume of the drop is V = 2 cm3
Length of te cube be L
Radius of the sphere be R.
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