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
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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)...
icon
Related questions
Question
100%
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?
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*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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Unit conversion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON