Directions: A large pizza at Tony's Pizzeria is a circle with a 14-inch diameter. Its

Question

box is a rectangular prism that is 1 14
8 inches long, 1 14
8 inches wide, and 3
1
4
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 is
approximately the same surface area as Tony’s large pizza.
3. Prove mathematically, using appropriate formulas, that your pizza will fit in
the 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.)

Answer 1

A hexagon is a good choice for a problem like this.
If you draw a regular hexagon, you will see that the distance across it must be the same 14 1/8" to clear the 14" pizza...that distance must be side to side not vertex to vertex...
That 14 1/8" distance is the length of two apothems.
Thus the apothem is 7 1/16".
We can find the side of the hexagonal box by realizing that a hexagon is really just six equilateral triangles in one figure.


We have to multiply the apothem by
We get
Side length = 7.0625+%2A+%282%2Fsqrt%283%29%29+=+8.155 inches
The area of said hexagon would be

172.8 square inches, certainly large enough for the pizza...

the area of the circle is 153.94 inches
And the area of the rectangular prism is 496.91 inches now you have yiur anwers

Answer 2

mutipy it by what?

Answer 3

BY WHAT?

Answer 4

alright, I'll try this method...

Answer 5

A hexagon is a good choice for a problem like this.
If you draw a regular hexagon, you will see that the distance across it must be the same 14 1/8" to clear the 14" pizza...that distance must be side to side not vertex to vertex...
That 14 1/8" distance is the length of two apothems.
Thus the apothem is 7 1/16".
We can find the side of the hexagonal box by realizing that a hexagon is really just six equilateral triangles in one figure.

We have to multiply the apothem by 2%2Fsqrt%283%29.
We get
Side length = 7.0625+%2A+%282%2Fsqrt%283%29%29+=+8.155 inches
The area of said hexagon would be
A+=+%281%2F2%29ap+=+%281%2F2%29%287.0625%29%286%2A8.155%29 =
172.8 square inches, certainly large enough for the pizza...

Answer 6

uhm i'm confused...

Answer 7

can we just have answers -_-

Answer 8

i've tried working on this all day TvT

Answer 9

ima come back if i'm able to help yall

Answer 10

yeah i found something but still finding the answers

Answer 11

SOMEONE HELP

Answer 12

Imma take one for the team ill be back with knowledge

Answer 13

k so just use a decagon with measurments of 1.349 in. and make a drawing of the decagon cut into equal parts I got 14/16 for doing this

Answer 14

C-can I just get hit by a car
Like tbh I don't understand fractions all together
AND WHAT TYPE OF MATH ARE YALL DOING
I don't understand :{

Answer 15

Can I get the answer it's been 2 weeks :( idk how to do it-_-
Life is complicated I don't wanna fail and have to repeat this grade

Answer 16

*SoB* heLP-