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
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