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*R?.) 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?
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*R?.) 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?
College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c6c3461-7492-496f-98bc-6ef78f2648e2%2Faa719c92-16a1-454f-b27b-36681e83a8f4%2Fs5g1cbb_processed.png&w=3840&q=75)
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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