Elementary arithmetic, with brief notices of its history... by Robert Potts.

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3. If a gallon contain 277'274 cubic inches, and a cubic foot of
water weigh 1000 ounces, what quantity and weight of water will
fill a rectangular cistern 5 feet by 3~ feet wide, and 2 feet 9 inches
deep?
4. A gallon of water contains 277'274 cubic inches, and weighs
10 pounds Avoirdupois; find how many tons of water are in a dock
whose area is an acre and depth 10 feet.
5. A gallon of water weighs 146 170 ounces Troy. Find the weight
of a cubic foot of water in ounces Avoirdupois, if a pint contains
34-66 cubic inches.
6. If 144 pounds Avoirdupois are equal in weight to 175 pounds
Troy, how many pounds Troy are contained in the imperial gallon of
272-274 cubic inches, if the weight be 10 pounds Avoirdupois?
7. A gallon contains 277*274 cubic inches, and a cubic foot of
water weighs 997-784 ounces; find the weight of a pint of water in
pounds Avoirdupois to three places of decimals.
XXX.
1. If water expand ten per cent. when it turns into ice, how much
does ice contract when it turns into water?
2. Find the number of gallons of water which pass in 10 minutes
under a bridge 17 feet 8 inches wide, the stream being 10 feet 11
inches deep, and its velocity 8 miles an hour, supposing a gallo:
contains 277-274 cubic inches.
3. If the annual average of the rainfall in a certain district, in the
periods of summer, autumn, and winter, be 2-84, 30-3, and 50-6 per
cent. respectively, how much per cent. falls in the spring?
4. If the lineal expansion by heat of a piece of metal one unit in
length be '01, show that the expansions in surface and volume of the
corresponding units are -0201 and -030301 respectively.
5. If the atmosphere were of the same density throughout as it is
at the level of the sea, its height would be 26253 feet; find tho
weight of the air which surrounds the earth, having given that 875-1
cubic feet of air weigh as much as -1 cubic foot of mercury, and 30
cubic inches of mercury weigh 14-7 lbs.: supposing the earth a sphere
of 8,000 miles in diameter, and having given the content of a sphere
equal to two-thirds of its circumscribing cylinder, and the area of
a circle equal to 3-1415926 times the square of the radius.
6. If a room be 10 feet high, 50 feet long, and 35 feet broad,
find the weight of air contained in it, supposing that 100 cubic inches
weigh 32-698 grains at the temperature of 32~ Fahrenheit's thermometer.
7. How high will the water barometer be if the mercurial barometer stand at 29-9218 inches, having given that one cubic inch of
mercury weighs 13-5962 cubic inches of water?