Measurement of Area and Volume - Assam Valley School

Measurement of Area and VolumeASSIGNMENT1. Fill in the blank spaces, using correct words from the list given below :List : area, graph, surface, volume, liquids, hall, space, thousand, convex, cylinder(i) Area is the amount of ..................................... occupied by an object.(ii) SI unit of ..................................... is metre square.(iii) The area of a big ..................................... is measured in square metres.(iv) ..................................... paper can be used to measure the area of small flat irregularobjects.(v) Volume is the ..................................... occupied by a substance.(vi) Volume of ..................................... is measured in litres.(vii) SI unit of ..................................... is cubic metre.(viii) Liquids which do not wet the surface of glass have ..................................... meniscus.(ix) A measuring ..................................... is used for measuring volume of liquids.(x) 1 litre is equal to one ..................................... millilitres.2. Statements given below are incorrect. Write the correct statements.(i) Volume is the surface occupied by a substance.(ii) One hectare is equal to 1000 m 2 .(iii) The area of a rose leaf can be found by using centimetre graph paper.(iv) The meniscus of water in a test tube is convex.(v) One millilitre is equal to 10 cc.© EDULABZINTERNATIONAL3. Write true or false in front of the following statements :(i) 10 m 2 is equal to 10,000 cm 2 .(ii) SI unit of area is m 2 .(iii) The appropriate unit for finding volume of water in an overhead tank is m 3 .(iv) A measuring flask can be used for finding the volume of gases.(v) The appropriate unit for finding the area of a 50 P coin is mm 2 .(vi) A pipette is used for finding fixed volume of liquids.1

4. Tick ( ✓ ) the most appropriate answer(i) The space occupied by a substance is called(a) volume(b) area(c) length(d) none of these(ii) The SI unit of area is(a) cm 2 (b) mm 2(c) m 2 (d) m 3(iii) The surface occupied by an object is called(a) volume(b) area(c) length(d) none of these(iv) The SI unit of volume is(a) mm 3 (b) cm 3(c) m 3 (d) km 3(v) 10 m 3 is equal to(a) 10 7 cc(b) 10 6 cc(c) 10 4 cc(d) 10 5 cc5. Find the odd one out. Give a reason for your choice.(i) m 3 , cm 3 , mm 3 , m 2 .(ii) Measuring flask, burette, pipette, measuring tape.(iii) square metre, square kilometre, hectare, litre.6. (i) What do you understand by the term area?(ii) Name the Standard International unit of area.(iii) Define the Standard International unit of area.(iv) Prove that 1 m 2 = 10,000 cm 2 .© EDULABZINTERNATIONAL7. (i) Name two sub-multiples of Standard International unit of area.(ii) Name two multiples of Standard International unit of area.(iii) Amongst the units of area as km 2 , hectares, m 2 , cm 2 and mm 2 . Which is the mostsuitable for measuring the area of :(a) Your province(b) Agricultural land(c) 5 P coin2

(d) Page of an exercise book(e) Floor of your bedroom8. Fill in the blank spaces :(i) 5 km 2 = .......................................................................... hectares.(ii) 1 km 2 = ............................................................................. m 2(iii) 250 cm 2 = ............................................................................. mm 2(iv) 50,000 mm 2 = ............................................................................. cm 2(v) 20 hectares = ............................................................................. m 2(vi) 1 hectare = ............................................................................. cm 29. Find the area of a shaded part in the diagram given below.10. Find the area of a shaded part in the figure shown below by using a centimetre scale.© EDULABZINTERNATIONAL3

11. Find the area of the figures shown by the shaded parts.© EDULABZINTERNATIONAL12. The length of a field is 250 m and breadth is 80 m. Find the area of the field, in,(i) m 2 , (ii) hectares.13. A postage stamp is 12 mm in breadth and 20 mm in length. Find the area of stamp in,(i) mm 2 , (ii) cm 2 .14. (i) What do you understand by the term volume?(ii) Name the unit, in which volume is measured in Standard International system.(iii) Define the above unit of volume.4

15. (i) Name and define the unit in which the volume of a matchbox can be measured.(ii) If you are provided with a centimetre ruler, how will you proceed to find the volumeof a matchbox?16. Name the unit and its sub-multiple, in which volume of liquids is measured.17. Fill in the blank spaces :(i) 1 m 3 = ............................................................................. cm 3(ii) 5 litres = ............................................................................. cm 3(iii) 4000 cc = ............................................................................. litres(iv) 12 m 3 = ............................................................................. cm 3(v) 3000 ml = ............................................................................. cc(vi) 250 cc = ............................................................................. litre18. By using a measuring cylinder carefully describe, how will you measure the volume of :(i) Mercury(ii) Water19. Find the volume of a rectangular wooden block of length 12 cm; breadth 8 cm andheight 4 cm.© EDULABZ20. A rectangular block measures 10 m in length, 8 m in breadth and 2 m in height. Findthe volume of the block.21. Find the volume of a rectangular stone slab of length 30 m, breadth 12 m and height14 m.INTERNATIONAL22. The base area of a water tank is 40 m 2 . If the depth of water in it is 2 m, find the volumeof water in m 3 .23. By using an overflow jar and a measuring cylinder, how will you find the volume of anirregular piece of stone?24. Which of the following quantities, you will measure by (i) Mass, (ii) Volume?(a) Petrol, (b) Wheat flour, (c) Liquefied oxygen gas, (d) Sugar, (e) Ice, (f) Water,(g) Beer, (h) Vegetable ghee, (i) Soap, (j) Mobile oil.5