Agricultural Education — Examination Papers, 1882. Ixxxlii 
respectively : find its area ; find also tlie area of a circle whose 
circumference equals the perimeter of the triangle. 
2. What is a prismoid ? What is the rule, or formula, for finding 
its volume? 
The base of a hay-stack is a rectangle 30 feet by 20 feet ; at a 
height of 15 feet above the base its horizontal section is 35 feet by 
25 feet ; above this the hay is formed into a gable 12^^ feet high — • 
the length and breadth of the gable being, of course, 35 feet and 
25 feet. How many cubic yards of hay are there in the stack ? 
3. Explain how a knowledge of the sjiecific gravity of a sub- 
stance enables us to determine the weight of a given volume of the 
substance. 
Ten feet of length of lead pipe weigh 100 lbs. when the bore is 
2, J inches in diameter ; what is the thickness of the metal ? Specific 
gravity of lead is 11*35. 
4. State and explain a method of finding the distance between two 
jinints on opposite banks of a river, using only ropes and picquets. 
What are the sources of error in the method ? 
5. Explain the principle of the Vernier. How is the principle 
applied in the following case: — to construct a vernier by which 
readings can be taken true to a minute from the horizontal plate of a 
Theodolite which is graduated to half degrees ? 
6. If the diameter of a graduated circle is 5 inches, and the arc 
can be read true to minutes, into how many jjarts must each inch of 
the arc be divided ? 
7. AB is a base 1250 feet long; P a station such that PAB is 
37^ 10', PBA 73" 42'; C is a station which as seen from B is 
between A and P ; the angle ABC is 23^ 18' ; find, both by con- 
struction and calculation, the length of AP and of the parts into 
M'hich it is divided by the line joining B and C. 
8. A map is drawn to the scale of half an inch to a furlong ; 
what is the representative fraction of the scale, and what area on the 
ground is rej)resented by seven square inches on the map ? 
9. Draw a section of the ground from the following notes, and 
•calculate in degrees, minutes, and seconds, the slope of the straight 
line which joins the first point with the last. 
Distance. 
Back S. 
Tore S. 
ch:iin«. 
ft. in. 
ft. in. 1 
2-83 
7 4 
2 1 
3-01 
1 8 
8 7 
2-47 
2 5 
G 8 
2-25 
1 5 
7 4 
1-44 
G 1 
4 2 
