Giant Peanut Butter Cup 3-Act Task

ACT 1:

A former student of mine made this giant peanut butter cup and sent me this picture!
What do you notice? What do you wonder?

Giant Peanut Butter Cup and Regular Reese’s Peanut Butter Cup, side by side

ACT 2:

My student used this recipe for making the Giant Peanut Butter Cup

INGREDIENTS
FOR THE CHOCOLATE
4 bags milk chocolate chips
3 c. smooth peanut butter
6 tbsp. butter
2 1/4 c. powdered sugar
1/4 c. lightly packed brown sugar
1 1/2 tsp. kosher salt
1/2 tsp. pure vanilla extract
3/4 tsp. crushed graham crackers

And used this pan

10″ x 2″ x 2″ Quiche Pan

If you’re interested in other information, here you go!

11.5 ounce bag of Milk Chocolate Chips

ACT 3:

So, let’s take the obvious route and answer the Scale Factor question: What is the ratio from the regular peanut butter cup to the Giant cup?

DANG!!!! Looks like we don’t have a perfect scale factor!

Let’s go with volume: If one regular peanut butter cup is a frustum of a cone, upside down, with a radius of 1 inch and a height of 0.5 inches, then the volume is found using this formula:

But unless we measure a Peanut Butter Cup top and bottom, this may be tough, so let’s go with something we already know…weight.
According to the information, the individual peanut butter cup weighs 0.75 ounces.

If we add together all the ingredients in the recipe, we get (thanks to Google for the conversions):
4 bags milk chocolate chips = 11.5 * 4 = 46 ounces
3 c. smooth peanut butter = 9 oz * 3 = 27 ounces
6 tbsp. butter = 3 ounces
2 1/4 c. powdered sugar = 10.125 ounces
1/4 c. lightly packed brown sugar = 1.75 ounces
1 1/2 tsp. kosher salt = 0.3 ounces
1/2 tsp. pure vanilla extract = 0.08 ounces
3/4 tsp. crushed graham crackers = 0.125 ounces

FOR A GRAND TOTAL OF 88.38 Ounces
The Giant:Regular Ratio is 88.38:0.75
or…it would take 117.87 Regular Cups to equal the Giant Cup!

Enjoy 🙂