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.
The above answer was one way of solving for "r". Below is one other way to solve the equation.
Example 2 asks students to analyze how the volume of rectangular prisms change in function of their side lengths.
Example 3 has students making real-world connections about volume. This would be a "communication"-style question.
Example 4 is a more difficult question. Students need to use algebra to figure out the length of a box with a given volume.
The support questions for this chapter are: p. 384, #3, 4, 7, 8, 11, 12 and p. 387, #2, 4, 6, 8, 10.