Regular Hexagons This kite is constructed in the shape of a
regular hexagon with sides of 18". Can you
calculate how many square inches of
fabric it took to make this kite?
A = 841.78 in2 What is your strategy for calculating the area of a regular hexagon?
Answer
This wallhanging is a quilt created in the shape of a regular hexagon where each side measures 15".
How much material did it take to sew this quilt?
A = 584.57 in2
Answer
Challenge Problem:
side = 2' Answer
If the area of the top of this picnic table (built in the shape of a regular hexagon) is approximately 10.4 ft2, what is the length of each side of the top?
How would you find the amount of wood necessary to build the bench seats?
Hexagonal Prisms This wedding cake is constructed by stacking three regular hexagonal prisms on top of each other. If the layers have the following side lengths, can you calculate the amount of frosting it took to cover the sides of that part of the cake if the height of each layer is 3.5"?
Bottom prism: Middle prism: Top prism:
8" 7" 6"
LA = 441 in2
Questions: What type of solid is the topmost piece of the cake? 1.) 2.)
Answer
a cylinder Answer
What is the minimum diameter necessary for the circular cake stand displaying the cake? Answer 16"
This garden building was built in the shape of a regular hexagonal prism. If the floor is made of wood and there are five window units that measure 6' x 5' and one door unit that measures 9' x 6.5', how much wood did it take to construct the building?
10'
8'
Wood = 437.78 ft2
How would you describe the roof geometrically?
Answer If the base of this makeup case is a regular hexagonal prism with sides of 5", how much plastic did it take to construct the bottom?
64.95 in2
If the manufacturer used 180 in2 of plastic to construct the sides, what is the height of this case?
Hexagonal Prisms. This wedding cake is constructed by stacking. three regular hexagonal prisms on top of each. other. If the layers have the following side lengths, can you. calculate the amount of frosting it took to cover the. sides of that part of the cake if the height of each. layer is 3.5"? Bottom prism: 8". Middle prism: 7".
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