Introduction This week we investigate how quantities exist in multiple dimensions (i.e., 2-dimensional and 3-dimensional space). Naturally, we think about the world in three dimensions because that is what we experience daily. As a result, our minds are frequently making qualitative inferences about the space around us. However, we may or may not naturally quantify those situations.

• 1 Reflect on your past couple of days and think about all the times you considered how much space something took up to help make a choice. Keep in mind this week is about the shapes, not just the measurements.
• 2. List as many examples from the past 24-48 hours as you can recall.
• 3.Which of those did you quantify (measure) before acting?
• 4. In which cases might you have saved yourself some resources if you would have used what you are learning this week to quantify the situation? Give specific example with the formula used and the numbers.