MEASUREMENT OF QUANTITY OF MATTER 13 



9. Relation of Areas to one another. 



English Measures. 



1 acre contains 4,840 square yards i.e. a square the side 

 of which is a yard. 



1 square yard contains 9 square feet. 



1 square foot contains 144 square inches. 



Metric Measures. 



1 hectare contains 10,000 square metres. 



1 square metre contains 100 square decimetres. 



1 square decimetre contains 100 square centimetres. 



1 square centimetre contains 100 square millimetres. 



1 metre = 39*37 inches nearly. 



10. Relation of Volumes to Linear Dimensions, 



A cube, the edge of which has a units of length, contains 

 d 6 units of volume. 



A rectangular parallelepiped, of which the respective edges 

 have a, b, and c units of length, contains abc units of volume. 

 . A sphere, the radius of which has r units of length, con- 

 tains f Trr 3 units of volume. 



A circular cylinder, of height h and radius r, contains 

 nr^h units of volume. 



11. Relation of Volumes to one another. 



English Measures. 



1 cubic yard contains 27 cubic feet. 

 1 cubic foot contains 1,728 cubic inches. 

 1 gallon contains 8 pints or 4 quarts. 

 1 pint contains 34'659 cubic inches. 



Metric Measures. 



1 cubic metre contains 1,000 cubic decimetres. 



1 cubic decimetre contains 1,000 cubic centimetres (c.c.). 



1 cubic centimetre contains 1,000 cubic millimetres. 



