A cell exchanges materials with its environment to provide raw materials for cell processes and to remove waste products. The ratio of surface area to volume for a cell is a key factor in determining the efficiency of this exchange of materials. SAVR = surface area volume Part A a) Modelling the cell as a cube, find the surface area to volume ratio (SAVR) for cells of the following sizes: d = 2 x 10-6 m d = 5 x 10-6 m d = 10 x 10-6 m d ✓Part B Area of one face of the cube = d² Volume of cube = d³ b) Write a general formula for the SAVR of a cube of side d and use it to explain how SAVR changes with the size of the cube. (AC 3.1) c) Use the formula to find the value of d for which SAVR is equal to (i) 1000 m-¹, (ii) 1000000 m-1¹.
A cell exchanges materials with its environment to provide raw materials for cell processes and to remove waste products. The ratio of surface area to volume for a cell is a key factor in determining the efficiency of this exchange of materials. SAVR = surface area volume Part A a) Modelling the cell as a cube, find the surface area to volume ratio (SAVR) for cells of the following sizes: d = 2 x 10-6 m d = 5 x 10-6 m d = 10 x 10-6 m d ✓Part B Area of one face of the cube = d² Volume of cube = d³ b) Write a general formula for the SAVR of a cube of side d and use it to explain how SAVR changes with the size of the cube. (AC 3.1) c) Use the formula to find the value of d for which SAVR is equal to (i) 1000 m-¹, (ii) 1000000 m-1¹.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
Transcribed Image Text:AC 3.1 Form equations.
A cell exchanges materials with its environment to provide raw materials for cell
processes and to remove waste products.
The ratio of surface area to volume for a cell is a key factor in determining the
efficiency of this exchange of materials.
SAVR = surface area
volume
✓Part A
a) Modelling the cell as a cube, find the surface area to volume ratio (SAVR) for cells
of the following sizes:
d = 2 x 10-6 m
d = 5 x 10-6 m
d = 10 x 10-6 m
Area of one face of the cube = d²
Volume of cube = d³
b) Write a general formula for the SAVR of a cube of side d and use it to explain
how SAVR changes with the size of the cube. (AC 3.1)
c) Use the formula to find the value of d for which SAVR is equal to (i) 1000 m-¹, (ii)
1000000 m-¹.
✓Part B
a) Investigate the SAVR for different types of cell. It is up to you what shapes to
investigate. Explain what you are doing at each stage. Remember this is an
algebra unit (not a biology unit) so make sure you use algebra in your analysis.
b) Write a paragraph to explain what you can conclude from your investigation.
jord
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Could you please help me with part B , I am really struggling
thank y
Solution
by Bartleby ExpertRecommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell