Comparing Relationships with Equations

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Finding Total Edge Length of a Cube.

Here are some cubes with different side lengths. Study them and answer the questions that follow.

(1). Complete the table below.

(2). Explain how the total edge length of any cube is found.

(3). Complete the table.

(4). What is the surface area of each cube?

(5). Explain how the surface area of any cube is found.

(6). Complete the table.

(7)What is the volume of each cube?

(8). Explain how the volume of any cube is found.

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Completing a Table from a Given Relationship.

(1). Complete the table using the equation:

(2). Complete the table using the equation:

(3). Complete the table using the equation:

(4). Complete the table using the equation:

(5). Complete the table using the equation:

(6). Complete the table using the equation:

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Representing Ratio with diagrams.

(A). Use the equation where F   represents degrees Fahrenheit and C  represents degrees Celsius, to complete the table.

Is the relationship between temperature (⁰C) and temperature (⁰F) a proportional relationship? Explain why or why not.

(B). Use the equation C = 2.54n where C  represents the length in centimeters and n  represents the length in inches, to complete the table. represents the length in centimeters and  represents the length in inches, to complete the table.

Is the relationship between length (in) to length (cm) a proportional relationship? Explain why or why not.

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(1). Which of the relationships in Activity #2 above will represent a proportional relationship?

(2). Explain how you know that relationship is proportional.

(3). Write equations for the total edge length E, total surface area A, and volume V  of a cube with side length s.

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(1). Which of the relationships in Activity #2 above will represent a proportional relationship?

(2). Decide whether or not each equation below represents a proportional relationship.