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Solution |
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3) Joe lives in apartment building that is 70 feet long by 60 feet wide by 80 feet tall. The volume of
the building next door is 252,000 cubic feet with the same length and width as Joe's building. What
is the difference in height in feet between the two buildings? |
1. Multiply the length by the width = 4200 sq. ft.
2. Divide the volume of the building next door by this area
to get the height = 252000/4200 = 60 ft.
3. Compute the difference between these heights =
80 - 60 = 20 ft.
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4) A loop of rope has a total length of 30 feet. If you create a rectangle with the loop that has length
8 feet, and then create a second rectangle with length 10 feet what's the difference in the area of the
two rectangles?
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1. Compute the width of the first loop as the
(total length - 2 x the length of the rectangle)/2 =
(30 - 8 x 2)/2 = 7 ft.
2. Compute the width of the second loop as the
(total length - 2 x the length of the second rectangle)/2 =
(30 - 10 x 2)/2 = 5 ft.
3. Compute the areas of the 2 rectangles and subtract =
7 x 8 - 10 x 5 = 56 - 50 = 6 sq. ft.
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5) Margie sees that she has a steadily dripping faucet in the tub that she can not turn off. She places
a 1 gallon bucket underneath it. The faucet drips at a rate of one drop per 3 seconds. 3 drops make
a teaspoon. If 3 teaspoons = 1 tablespoon, 16 tablespoons = 1 cup, 1 cup = 8 ounces, and 1 gallon =
128 ounces, how long will it take before the bucket is full? Express your answer in hours, minutes
and seconds.
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1. If 3 drops = 1 teaspoon, then 9 drops make a tablespoon.
2. Convert this to cups = 16 X 9 = 144 drips/cup.
3. Convert this to ounces by diving by 8 = 144/8 = 18 drips/ounce
4. Multiply by the number of ounces in a gallon to get the number of drips/gallon = 128 X 18 = 2304 drips/gal.
5. Multiply this by 3 to get the total number of seconds
to fill the bucket = 6912 seconds.
6. Convert this to hours, minutes, seconds =
1 hour 55 min 12 sec.
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sq. yds.