EXERCISE 26. 1. Change 5427m to kilometers; to millimeters; to centimeters. 2. How many meters in 6853mm ? how many centimeters? what part of a kilometer? 3. Write 49.7m as centimeters; as millimeters; as the decimal of a kilometer. 4. How many centimeters in 12.4km? how many millimeters? 5. Change 1230m to kilometers; to centimeters. 6. Write 1230cm as meters; as millimeters. Find in meters the value of the following: 7. 0.435m+852cm +4263mm+0.1595km. 9. 8 × 0.0457km; 3.04 × 60.93cm; 5.43 × 67.2mm. 10. 38,019mm 0.097; 0.41km÷25.625. 11. At $1.87 a meter, what is the cost of 6.20m of cloth? 12. At $0.75 a meter, what is the cost of 60m of cloth? 13. From a piece of cloth containing 47.60m a tailor cuts off three pieces: the first of 3.80m, the second of 1.30m, and the third of 45cm. How many meters of the cloth are left? 14. What is the value of 60cm of cloth at $5.20 a meter? 15. If $6.00 is paid for a railroad ticket to travel 440km, what is the fare per kilometer? 16. If a train goes 288km in 9 hours, how many meters does it go in a minute? (1 hour 60 minutes.) = 17. If a man walks at the rate of 6km an hour, what part of an hour will it take him to walk 420m ? 18. A railroad carried 412 passengers 18km for $88.992; at the same rate, what will it receive for carrying 350 passengers 35km ? Square. Measures of Surface. 119. A square is a flat surface with four square corners and four equal straight sides. 120. A square meter is a square one meter on a side. The principal unit of surface is the square meter. 121. Suppose the square in the margin to represent a square meter. It is divided into ten equal horizontal bands, and each band is one tenth of the square meter. Each band can be divided, as the upper one is, into ten little squares measuring one tenth of a meter on a side. Each of these squares will be 0.1 of the band, or 0.01 of the whole square. The square meter, therefore, contains 10 x 10, or 100 square decimeters. In like manner, a square decimeter contains 100 square centimeters, and therefore a square meter contains 100 × 100, or 10,000 square centimeters. In like manner, a square meter contains 1000 × 1000, or 1,000,000 square millimeters. TABLE. 100 square millimeters (qmm) = 1 square centimeter (qcm). 100 square centimeters 100 square decimeters 100 square dekameters = 1 square decimeter (qdm). = 1 square meter (am). 122. In measures of length each unit is 10 times as large as the next smaller unit, but in measures of surface each unit is 100 times as large as the next smaller unit. 123. In the measurement of land, the square meter is called a centar, the square dekameter is called an ar, and the square hektometer is called a hektar. 124. In surface measures, when the ar is the unit, 100 ars make a hektar; but when the square meter is the unit, 100 X 100, or 10,000 square meters make a square hektometer or hektar. EXERCISE 27. 1. Change 1,854,276am to hektars; to square kilometers. 2. How many hektars in 2.7856qkm ? 3. Write 1.7431qm as square centimeters; as square millimeters. 4. How many square kilometers in 17,467.5ha ? 6. How many square meters in 2.25ha? 7. How many square centimeters in 0.01379m ? 8. Write 3.571qem as square millimeters. 9. If a field contains 7500ca, how many ars does it contain? What part of a hektar ? 10. How many square meters must be added to 22,612qm to make 4ha 62a 17ca? 11. A field containing 72.4a is sold at 15 cents a square meter. What is received for the field? 12. If 62a 12ca of land is sold for $1366.64, what is the price per square meter? 13. How many square centimeters must be taken from 12,4739cm to leave 19m 149dm 539cm ? Measures of Volume. 125. A cube is a solid bounded by six equal squares. Each bounding square is called a face, and Cube. the intersection of two faces is called an edge. 126. A cubic meter is a cube one meter on an edge. The principal unit of volume is the cubic meter. 127. The cubic meter can be divided into 10 layers, each a meter square and a decimeter thick. Each layer will, therefore, be 0.1 of a cubic meter. Again, each layer can be divided into 10 equal parts. Each part will, therefore, be 0.1 of the layer, or 0.01 of the meter, and will be a decimeter square and a meter long. Also, each one of these parts can be divided into 10 equal parts, each of which will be a cubic decimeter, and will be 0.1 of 0.01, or 0.001 of the cubic meter. The cubic meter, therefore, contains 1000 cubic decimeters. In like manner, a cubic decimeter contains 1000 cubic centimeters, and a cubic centimeter contains 1000 cubic millimeters. TABLE. 1000 cubic millimeters (cmm) 1000 cubic centimeters 1000 cubic decimeters = 1 cubic centimeter (ccm). 128. In measures of volume each unit of measure is 1000 times as large as the next smaller unit of measure. 129. In the measurement of wood, the cubic meter is called a ster. 1. Write 2.25cbm as cubic centimeters. 4. Change 46,164ccm to cubic decimeters. 5. What is the equivalent of 0.875 dkst in cubic meters? in cubic centimeters? 6. How many sters are there in 14.75 dkst of wood? how many decisters ? 7. What is the cost of 28.25dkst of wood at $1.25 a ster? 8. Find the cost of an oak beam containing 1250cdm at $25 a cubic meter. 9. How many cubic centimeters must be added to 1,262,376ccm to make 2cbm 2cdm 2ccm? 10. How many cubic millimeters must be taken from 22,350,000,000cmm to leave 20cbm 22cdm 222cem? |