A large pizza at Tony's Pizzeria is a circle with a 14-inch diameter. Its box is a rectangular prism that is 14 and one-eighth14 and one-eighth 14 and one-eighth
inches long, 14 and one-eighth14 and one-eighth 14 and one-eighth
inches wide, and 1 and three-fourths1 and three-fourths1 and three-fourths inches tall. Your job is to design a crazy new shape for a large pizza. It can be any irregular polygon shape, but it must have at least five sides.
Tony says he will make and sell your crazy pizza if you can prove the following:
•It is approximately the same area as the large pizza he sells now.
•It fits inside the large box listed above.
•It can be cut into 8‒12 equal-sized pieces.
Create one design for a crazy pizza that will meet all of Tony's requirements.
1.Create a representation of your design that includes measurements.
2.Prove mathematically, using appropriate formulas, that your design isapproximately the same surface area as Tony’s large pizza.
3.Prove mathematically, using appropriate formulas, that your pizza will fit inthe box.
4.Use diagrams or other models to prove that your design can be divided into 8‒12 equal-sized pieces. (Tip: You may use graph paper or the Virtual Geoboard to show how your pizza can be divided into equal-sized pieces.)
Your design and proofs (model and mathematical)
1 answer
10 answers