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?

icon
Related questions
Question
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?
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.

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS