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3) Leslie builds a model pyramid with a square bottom. The square bottom has side length 6 centimeters. The triangular sides are all identical and have height 4 centimeters. Her
class is going to make a big scale model of her pyramid. All dimensions will be increased by a scale factor of 50. What is the height of the large pyramid? Express your answer in
meters.
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Multiply all dimensions by 50 and convert to meters:
height = _____ meters
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4) At an obstacle course you can either go up and over a
hill ringing the bell hanging on top, or you can follow the half
circle path around the base of the hill to the same point.
The hill has a height of 100 feet. The half circle path has a
radius of 100 feet. See the schematic drawing. What is the
ratio of the length of the path going up and over to the path
which goes around the half circle? Give your answer as an
exact answer or round to the nearest tenth using = 3.14.
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- The distance around half the hill = ______ ft.
- The length of the side of the hill (by the pythagorean theorem) =
Side = ______ ft.
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2 of these = _________ ft.
- The ratio of the up-and-over to the go-around path is
________
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5) Dray places a 2 liter bottle under a drippy faucet. It drips at a rate of 1 drip every 5 seconds. Three drops fill a teaspoon which is 5 milliliters. One milliliter = 10-3 liters. How long before the bottle is full? Express your answer in hours, minutes, and seconds.
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Set up the string of conversion factors, making sure that they all cancel to yield seconds:
= ____ hour _____ minutes
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