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A large pizza at Tony's Pizzeria is a circle with a 14-inch diameter. Its box is a rectangular prism that is 14 1/8 inches long...Asked by Jake
Directions: A large pizza at Tony's Pizzeria is a circle with a 14-inch diameter. Its
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.)
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.)
Answers
Answered by
I Am Batman The Helper
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
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
Answered by
?
mutipy it by what?
Answered by
Rose
BY WHAT?
Answered by
Ok?
alright, I'll try this method...
Answered by
6th grade help
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...
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...
Answered by
UwU
uhm i'm confused...
Answered by
UwU
can we just have answers -_-
Answered by
UwU
i've tried working on this all day TvT
Answered by
UwU
ima come back if i'm able to help yall
Answered by
UwU
yeah i found something but still finding the answers
Answered by
CONNEXUS 6B KIDDO
SOMEONE HELP
Answered by
Unknown
Imma take one for the team ill be back with knowledge
Answered by
Unknown
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
Answered by
ÙwÚ
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 :{
Like tbh I don't understand fractions all together
AND WHAT TYPE OF MATH ARE YALL DOING
I don't understand :{
Answered by
ÙwÚ
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
Life is complicated I don't wanna fail and have to repeat this grade
Answered by
nitchii
*SoB* heLP-
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