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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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*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?
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*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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