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

22 French metres; what is the distance in English miles, if the metre be equal to 3-2809 English feet? 4. If the mean length of a degree of latitude be 365,000 feet, find the length of the French metre, which is one ten-millionth part of the distance from the pole of the earth to the equator, in feet and inches. 5. If the mean distance of the moon from the earth be 59-97 times the earth's radius, and if this radius be 3962-824 miles; find the distance of the moon from the earth in miles, yards, feet, and inches. XXVII. 1. The base of the great pyramid at Gizeh is a square, each side of which is 763-4 feet; find the area in acres of the ground on which the pyramid stands. 2. If the length of a metre be 39-37 inches, find the number of square feet and the number of cubic feet in that square and cube whose side is a metre. 3. How many cubical packages, the edge of each measuring 3-03 inches, can be packed in a box whose content is 1030-301 cubic inches? 4. A wire 99 miles long, and the area of whose section is. 01 inch, is drawn out into a finer wire 100 miles long; shew that the area of its section is -0001 inch less than before. 5. If the length of the cubit be 24-883 English inches, what was the cubical space of Noah's ark, its length, breadth, and height being respectively 300, 50, and 30 cubits respectively? XXVIII. 1. If the value of gold be ~3 1Os. 10 d. an ounce, and a cubic inch of gold weigh 10 ounces, what quantity of gold would be required to gild a dome whose surface was 5,000 square feet, and the thickness of the gold -0002 of an inch thick? 2. The weight of a cubic foot of water being 1000 ounces, find the weight of a rectangular block of gold 8 inches in length, 2 in thickness, and 3 in breadth; the weight of a mass of gold being 19-25 times the weight of an equal bulk of water. 3. A cubic foot of iron weighs 7'8 times as much as a cubic foot of water; find the weight of a block of iron 10-41 feet long, 2-58 feet broad, and 3 feet thick; supposing a cubic foot water to weigh 1,000 ounces. XXIX. 1. Find a multiplier for converting cubic inches into gallons. 2. If the weight of one cubic foot of water be 62-35 pounds Avoirdupois, find the error in calculating the weight of 1000 cubic feet on each of the following approximate assumptions:1. That one cubic inch weighs 252-5 grains. 2. That one cubic foot weighs 1,000 ounces Avoirdupois. 3. That one cubic fathom weighs 6 tons.

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Title
Elementary arithmetic, with brief notices of its history... by Robert Potts.
Author
Potts, Robert, 1805-1885.
Canvas
Page 12 - Title Page
Publication
London,: Relfe bros.,
1876.
Subject terms
Arithmetic

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"Elementary arithmetic, with brief notices of its history... by Robert Potts." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/abu7012.0001.001. University of Michigan Library Digital Collections. Accessed June 7, 2025.
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