Volume and Surface Area Relationships

Volume and Surface Area Relationships

Assessment

Interactive Video

Physics

9th - 10th Grade

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial by Dan the Tudor covers the concept of scaling in physics and math. It begins with an introduction to scaling, followed by examples involving a rectangular prism and a gingerbread man to illustrate how volume changes with dimension adjustments. The tutorial also explores the surface area to volume ratio and concludes with a discussion on the relationship between force and distance squared. The video emphasizes the importance of understanding proportionality in these contexts.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the dimensions of a rectangular prism are doubled, by what factor does its volume increase?

8

6

4

2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the new volume of a rectangular prism if its original volume is 4 and its dimensions are doubled?

16

32

64

8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When the height of a gingerbread man is increased by a factor of five, how does this affect its volume?

Increases by a factor of 5

Increases by a factor of 25

Increases by a factor of 125

Remains the same

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the original volume of a gingerbread man is 20 cubic inches and its height is increased by a factor of five, what is the new volume?

2500

250

500

100

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the surface area to volume ratio of a rectangular prism if its volume is increased by a factor of 64?

Decreases by a factor of 4

Increases by a factor of 4

Remains the same

Increases by a factor of 64

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the volume of a rectangular prism is increased by 64 times, by what factor does the length increase?

5

4

3

2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cube root of 64?

5

4

3

2

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