cxxviii Agricultural Education — Examination Papers, 1887. 
3. A reservoir has its ends vertical, but its sides elope at the rate 
of 2 vertical to 1 horizontal ; its bottom is a rectangle 40 ft. wide and 
200 ft. long. When the reservoir is full to the brim the water is 
20 ft. deep. Find the number of cubic feet of water it then holds, 
and how much the surface sinks, when half the water is allowed to 
run out. (N.B. ^26 = 5-099.) 
4. A cubic box of wrought iron is made of plates half-an-inch 
thick ; externally the edge is 2 ft. long. Find the weight, of the box, 
assuming the specific gravity of wrought-iron to be 7*8, and the 
weight of a cubic foot of water to be 1000 oz. 
5. A, B, C, D are four points in order along a straight road ; the 
horizontal distances A B, B C, CD are 200 ft. apiece. A level 
is set up and adjusted anywhere on the line of the road ; the staff is 
then placed successively at A, B, C, D, and the readings are found to 
be 3-25 ft., 7'80 ft., 6-625 ft., 2-50 ft. respectively. Draw a section 
of the road in which the vertical scale is to the horizontal scale as 
20 to 1 ; find also the slope of the road between C and D. 
6. If the scale of a map is 5 in. to the mile, what is the length of 
the line that represents 7f miles ? And what is the length of the 
side of a square that represents an area of 40 square miles ? 
7. Give a brief description of the vernier. If, on a scale of inches, 
each inch is divided into 5 equal parts, how can a vernier be drawn 
to enable an observer to read the scale to l-25th of an inch ? 
8. A four-sided piece of ground is bounded by a wall which you 
cannot see over, and within which you must not go ; how could you 
lay down a plan of the ground, having nothing but a measuring tape, 
a few pickets and a mallet. Of course it is to be assumed that all 
the ground outside the wall is accessible. Would your method be 
applicable to a piece of ground with more than four sides ? 
9. State the steps by which the third side of a triangle can be 
calculated, when two sides and the included angle are known. 
If the two sides are 21,574 ft. and 25,345 ft. long, and contain an 
angle of 71° 18' ; find, approximately by construction, and accurately 
by calculation, the remaining angles and the third side of the triangle. 
EXAMINATION IN MECHANICS AND NATURAL 
PHILOSOPHY. 
Maximum Numbee of Makes, 200. Pass Numbek, 100. 
Thursday, May 12th, from 10 a.m. till 1p.m. 
1. Name the units of time, distance, and mass commonly used in 
Natural Philosophy, and state how they are determined. 
Explain how a unit of force can be derived from them. 
2. State how to find the resultant of two intersecting forces. 
