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Surface Area to Volume Practice Problems

Last updated over 5 years ago

32 questions

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Question 1

1.

Determine the surface area of this cube.

Question 2

2.

Determine the volume of this cube.

Question 3

3.

Determine the SA/V Ratio of this cube.

Question 4

4.

Determine the surface area of this cube.

Question 5

5.

Determine the volume of this cube.

Question 6

6.

Determine the SA/V Ratio of this cube.

Question 7

7.

Determine the surface area of this cube.

Question 8

8.

Determine the volume of this cube.

Question 9

9.

Determine the SA/V Ratio of this cube.

Question 10

10.

Determine the surface area of this cube.

Question 11

11.

Determine the volume of this cube.

Question 12

12.

Determine the SA/V Ratio of this cube.

Question 13

13.

Determine the surface area of this cube.

Question 14

14.

Determine the volume of this cube.

Question 15

15.

Determine the SA/V Ratio of this cube.

Question 16

16.

Determine the surface area of this cube.

Question 17

17.

Determine the volume of this cube.

Question 18

18.

Determine the SA/V Ratio of this cube.

Question 19

19.

Graph the length of side (cm) vs. the surface area to volume ratio

Question 20

20.

What is the relationship between size of cube side and surface area to volume of a cube?

Question 21

21.

Calculate the surface area of a sphere with a radius of 3 in terms of pi.
Note: There doesn't appear to have a symbol for pi, so just write pi in your answer.

Question 22

22.

Calculate the volume of a sphere with a radius of 3 in terms of pi.
Note; There doesn't appear to have a symbol for pi, so just write pi in your answer.

Question 23

23.

Calculate the surface area to volume ratio of a sphere with radius of 3.

Question 24

24.

Calculate the surface area of a rectangular solid with side lengths: 1 x 1 x 12

Question 25

25.

Calculate the volume of a rectangular solid with side lengths: 1 x 1 x 12

Question 26

26.

Calculate the surface area to volume ratio of a rectangular solid with side lengths: 1 x 1 x 12
Note: write your answer to the hundredths place

Question 27

27.

Calculate the surface area of a cylinder with radius of 2 and height 4
Note: GIve your answer in terms of pi (and type out pi)

Question 28

28.

Calculate the volume of a cylinder with radius of 2 and height 4
Note: GIve your answer in terms of pi (and type out pi)

Question 29

29.

Calculate the surface area to volume of a cylinder with radius of 2 and height 4

Question 30

30.

Which of these cells is most favorable?

sphere with radius of 3

rectangular solid with side lengths: 1 x 1 x 12

cylinder with radius of 2 and height 4

Question 31

31.

Simple cuboidal epithelial cells line the ducts of certain human exocrine glands. Various materials are transported into or out of the cells by diffusion. Which of the following cube-shaped cells would be most efficient in removing waste by diffusion?
Note: You should NOT have to do math to determine the solution

A

B

C

D

Question 32

32.

The outer layer of a plant root may contain elongated cells called root hair cells. Explain why this is an evolutionary advantage or disadvantage in terms of maintaining cellular homeostasis. In doing so, discuss how surface area to volume differs in root hair cells verses normal epithelial cells.