Angel is hosting a party with one of her family members from each American state. They are each asked to bring a type of food they think symbolizes where they come from. Fifteen bring pies with a radius of 25 cm. Seven bring chicken pot pies in the shape of a hexagon, with each side the length of three inches. Five bring square cakes with each side measuring eleven inches. Four people each bring thirteen cupcakes with a radius of two centimeters. Thirteen brought turkey with an estimated 6 inch by ten inch perimeter. Each of the thirteen brought four turkeys. How many square inches does this this bounty take up? Will it fit on Angels' enormous 10 by 15 foot table?
+23246 You can find the "exact" answer for all of the different shapes, but this isn't a practical answer for the amount of table space needed -- because you cant place circular pies next to rectangular cakes without leaving bare table space.
To translate inches into centimeters, multiply the inches times 2.54.
A better way to approximate is to place each item into either a square or rectangular space:
A pie with a radius of 25 cm each will fit into a square area 50cm x 50cm = 2500 sq cm.
--- You have 15 of these pies; calculate their total area:
Hexagonal chicken pot pies with an edge length of 3" will fit into a square of 6" by 6". Translate each measurement into centimeters and find the area of the square that will hold this pot pie:
--- You have 7 pot pies: calculate their total area:
Square cakes 11" x 11": translate each measure into centimeters and find that area:
--- You have 5 of these cakes: calculate their total area:
A cupcake whose radius is 2 cm, will fit in a 2 cm x 2 cm square: find this area:
--- Since 4 people bring 13 of these cupcakes, their will be 52 cupcakes: calculate their total area:
Turkeys: The "6 inch by ten inch perimeter" is questionable? Does this mean that it can be held in a rectangle 6" x 10"? If so, translate each measure into centimeters and find that area:
--- Thirteen people brought 4 turkeys each, for a total of 52 turkeys: calulate their total area:
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Now: find the sum of the total areas: (Just the total areas!)
The 10' x 15' table: changing this into inches: 120" x 180"; translate each measure into centimeters and find that area:
Now, compare the area of the food to the area of the table.
+23246 You can find the "exact" answer for all of the different shapes, but this isn't a practical answer for the amount of table space needed -- because you cant place circular pies next to rectangular cakes without leaving bare table space.
To translate inches into centimeters, multiply the inches times 2.54.
A better way to approximate is to place each item into either a square or rectangular space:
A pie with a radius of 25 cm each will fit into a square area 50cm x 50cm = 2500 sq cm.
--- You have 15 of these pies; calculate their total area:
Hexagonal chicken pot pies with an edge length of 3" will fit into a square of 6" by 6". Translate each measurement into centimeters and find the area of the square that will hold this pot pie:
--- You have 7 pot pies: calculate their total area:
Square cakes 11" x 11": translate each measure into centimeters and find that area:
--- You have 5 of these cakes: calculate their total area:
A cupcake whose radius is 2 cm, will fit in a 2 cm x 2 cm square: find this area:
--- Since 4 people bring 13 of these cupcakes, their will be 52 cupcakes: calculate their total area:
Turkeys: The "6 inch by ten inch perimeter" is questionable? Does this mean that it can be held in a rectangle 6" x 10"? If so, translate each measure into centimeters and find that area:
--- Thirteen people brought 4 turkeys each, for a total of 52 turkeys: calulate their total area:
-------------------------------------
Now: find the sum of the total areas: (Just the total areas!)
The 10' x 15' table: changing this into inches: 120" x 180"; translate each measure into centimeters and find that area:
Now, compare the area of the food to the area of the table.
