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

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2. How many cubes of 2L inches in the edge can be cut from a
cube of which the edge is 27 inches?
3. How many cubes whose edges are - inch long can be contained
in a box of which the base is 18 square inches, and the depth 7-L
inches?
4. What length must that solid be to contain a cubic foot which is
8 inches broad and 3 inches wide?
5. If a solid parallelopiped contain 100 cubic yards, and its base
contain 100 square feet, find its height.
6. How many cubic yards of earth were dug from an excavation a
mile and a half long, 30 yards wide, and 24 feet deep?
7. What is the number of cubic feet and inches in a piece of
masonry 9 feet 3 inches long, 11 feet 5 inches high, and 3 feet 2 inches
thick?
8. Find the length of a solid whose thickness is 1 foot, breadth
18 inches, and solid contents 3 cubic feet 216 inches.
9. What must be the length of a trench which is 5-l feet deep and
9- feet wide, in order that the entire excavation may contain 7,040
cubic feet?
10. A rectangular cistern whose length is 138 feet, and breadth
6 feet, contains 294- cubic feet. What is the depth?
11. How many bricks will be required to build a wall 20 yards long,
71 feet high, and 13 inches thick, supposing a brick to be 9 inches
long, 4 wide, and 3 thick? If there be in the wall a doorway 6 feet
4 inches high and 4 feet wide, how many bricks less would be
required?
12. A chest is 6 feet 2 inches long, 3 feet 4 inches wide, and 2 feet
9 inches deep, and is composed of boards 1 - inch thick. Find the
quantity of wood used, the contents of the chest, and the difference
between its external and internal surfaces.
XXVII.
1. If a cubic foot of wood weigh 121b., what is the weight of a
beam whose length, width, and depth are 24, 23, and 2- feet?
2. The weight of a cubic foot of Portland stone is 156 pounds;
find the weight of the first stone of the Fitzwilliam Museum, at
Cambridge, the mean dimensions of it being: length 7 feet, breadth
3 feet 9 inches, and thickness 2 feet.
3. What is the weight of a block of stone 12 feet 6 inches long,
6 feet 6 inches broad, and 8 feet 3 inches thick, when a block of the
same stone 5 feet long, 3 feet 9 inches broad, and 2 feet 6 inches thick,
weighs 7,5001b.?
4. Find the weight of a rectangular vessel of iron an inch and
a half thick without a top, the vessel being 10 feet 8 inches long, 8
feet 4 inches broad, and 5 feet deep, supposing a pound weight of iron
to have a bulk of 4 cubic inches.