xcviii 
Affi-icultural Education : 
EXAMINATION IN MENSURATION AND 
SUEVEYING. 
MAxnnjji NuMBEE of Mabks, 100. Pass Number, 50. 
Tliursday, April 25th, from 2 p.m. till 5 p.m. 
1. State the principal rules for finding the area of a triangle. 
Find the area when the sides are 751, 645, 604 feet long respec- 
tively. 
2. The sewage of a household of six people can be disposed of on 
an area of 100 feet by 10 feet ; at the same rate how many acres of 
groimd would be needed for a like purpose in the case of a small town 
with a population of 2500 people '? 
3. State a rule, or write down a formula for determining the volume 
of a sphere in terms of its radius. 
A ball 4 inches in diameter weighs 8^ lbs. ; what will be the weight 
of a ball of the same material 7 inches in diameter ? 
4. A heap of earth or stones is made on level ground ; the top is a 
rectangle, 20 feet long by 10 feet wide : the base is also a rectangle 
24 feet loug by 14 feet wide ; the slope of the sides is uniform all 
round, and the heap is 3 feet in vertical height ; how many cubic 
yards of stones or earth are there ? 
5. Explain how a knowledge of the specific gravity of a substance 
can be used for the approximate determination of the volume of a 
known weight of the substance. 
What is the volume of 18 tons 15 cwt. of granite, the specific 
gi-avity of which is 2 625 ? 
6. A wood is enclosed by four straight boundary lines ; you are not 
allowed to cross the wood in any direction, nor can you see through 
it ; you are provided with nothing but a measuring-tape and pickets ; 
how would you obtain data for di'awing a correct plan of the 
boundary ? 
7. Explain briefly the principle of the vernier, and show how it is 
applied in the following cases : — 
(a) A line is divided into lOths of an inch, and with the help of the 
vernier the observer is to be enabled to read to lOOths of an inch. 
(b) An arc is graduated to half-dogrccs, and with the aid of the 
vernier the observer is to be enabled to read to minutes. 
8. A is a point on one side of a river, P is a flagstaff on the oppo- 
site side ; a base A B of 500 feet is measured, and the angles P A B 
