This is the fourth section of Chapter 11: Geometry and Measurement Relationships. You can download as PDF: 2015-06-02 11.4 Solve Problems Using Diagrams. Or you can scroll down to view.

 

11.4: Solving Problems Using Diagrams

This section’s learning goal is to "Use diagrams to solve measurement problems". In the first problem, students have to use their knowledge of the volume of a cone to solve for the height of the cone.

2015-06-02 11.4 Solve Problems Using Diagrams 1

The above answer was one way of solving for "r". Below is one other way to solve the equation.

2015-06-02 11.4 Solve Problems Using Diagrams 2

Example 2 asks students to analyze how the volume of rectangular prisms change in function of their side lengths.

2015-06-02 11.4 Solve Problems Using Diagrams 3

Example 3 has students making real-world connections about volume. This would be a "communication"-style question.

2015-06-02 11.4 Solve Problems Using Diagrams 4

Example 4 is a more difficult question. Students need to use algebra to figure out the length of a box with a given volume.

2015-06-02 11.4 Solve Problems Using Diagrams 5

The support questions for this chapter are: p. 384, #3, 4, 7, 8, 11, 12 and p. 387, #2, 4, 6, 8, 10.

2015-06-02 11.4 Solve Problems Using Diagrams 62015-06-02 11.4 Solve Problems Using Diagrams 7 2015-06-02 11.4 Solve Problems Using Diagrams 8