M853 m853 Year 8 Mathematics Area and Volume 5.3 Volume .................................................... first name last name m853 2 Prime Education 5.3 Volume Area and Volume • Year 8 Mathematics 5.3 Volume Area and Volume • Year 8 Mathematics 3 5.3.1 Metric Units for Volume Question 1 Which unit of volume would you use when measuring the volume of: (a) a study room? (b) a water bottle? (c) a desktop computer? (d) a theatre? (e) an airplane? Question 2 How many m3 in 160 000 cm3? ................................................................................ Question 3 How many mm3 in 5000 cm3? ................................................................................ Question 4 How many cm3 in 0.18 m3? ................................................................................ Question 5 How many mm3 in 0.007 m3? ................................................................................ Prime Education 4 5.3 Volume Area and Volume • Year 8 Mathematics Question 6 How many cm3 in 4000 mm3? ................................................................................ Question 7 How many m3 in 9 600 000 mm3? ................................................................................ 5.3.2 Cross-Section of a Prism Question 3 Is this a prism? If so, state the name of the prism. Question 4 Is this a prism? If so, state the name of the prism. Prime Education 5.3 Volume Area and Volume • Year 8 Mathematics 5 Question 5 Is this a prism? If so, state the name of the prism. Question 6 Is this a prism? If so, state the name of the prism. Question 7 Is this a prism? If so, state the name of the prism. Question 8 Is this a prism? If so, state the name of the prism. Prime Education 6 5.3 Volume Area and Volume • Year 8 Mathematics Question 9 Is this a prism? If so, state the name of the prism. Question 10 Is this a prism? If so, state the name of the prism. 5.3.3 Volume of a Prism Question 11 Find the volume of the prism. 9 m2 4m Prime Education 5.3 Volume Area and Volume • Year 8 Mathematics 7 Question 12 Find the volume of the prism. 8m 7 m2 5.3.4 Volume of a Prism by Finding the Cross-Section Question 13 Find the volume of the prism. Question 14 Find the volume of the prism. Prime Education 8 Question 15 Find the volume of the prism. Question 16 Find the volume of the prism. Question 17 Find the volume of the prism. Prime Education 5.3 Volume Area and Volume • Year 8 Mathematics 5.3 Volume Area and Volume • Year 8 Mathematics 9 5.3.5 Volume of a Composite Prism Question 18 Find the volume of the prism. Question 19 Find the volume of the prism. Question 20 Find the volume of the prism. Prime Education 10 5.3 Volume Area and Volume • Year 8 Mathematics Question 21 Find the volume of the prism. Question 22 Find the volume of the prism. 5.3.6 Volume of a Cylinder Question 23 Find the volume of this cylinder, correct to one decimal place. Prime Education 11 5.3 Volume Area and Volume • Year 8 Mathematics Question 24 Find the volume of this cylinder, answer to multiple of π. Question 25 Find the radius, correct to two decimal places, if the volume of this cylinder is 140 cm3 Question 26 Find the height, correct to two decimal places, if the volume of this cylinder is 80 cm 3. Prime Education 12 5.3 Volume Area and Volume • Year 8 Mathematics 5.3.7 Volume of a Composite Cylinder Question 27 Find the volume of this solid with hollow inside like a tube, answer to multiple of π. Question 28 Find the volume of this solid, answer to multiple of π. Question 29 Find the volume of the solid, correct to the nearest m3. Prime Education 5.3 Volume Area and Volume • Year 8 Mathematics 13 Question 30 Find the volume of this solid. 5.3.8 Volume and Capacity Question 31 State what unit of capacity you would use when measuring: (a) a bucket (b) a glass of water (c) a water dam (d) a petrol tank in a truck (e) a medicine bottle (f) an Olympic swimming pool 5.3.9 Conversion of Capacity Question 37 Convert 4000 mL to L. ................................................................................ Prime Education 14 5.3 Volume Area and Volume • Year 8 Mathematics Question 38 Convert 4.2 kL to L. ................................................................................ Question 39 Convert 2.9 L to mL. ................................................................................ Question 40 Convert 6000 cm3 to L. ................................................................................ Question 41 Convert 4150 kL to ML. ................................................................................ Question 42 Convert 3.8 ML to L. ................................................................................ Question 43 Convert 762 L to kL. ................................................................................ Question 44 Convert 2.8 m3 to L. ................................................................................ Prime Education 5.3 Volume Area and Volume • Year 8 Mathematics 15 Question 45 Convert 0.2 ML to kL. ................................................................................ Question 46 Convert 2750 mL to L. ................................................................................ Question 47 Convert 4.3 kL to L. ................................................................................ Question 48 Convert 400 000 L to m3. ................................................................................ Question 49 Convert 4 kL to L. ................................................................................ Question 50 Convert 4600 mm3 to mL. ................................................................................ Question 51 Convert 5.2 m3 to mL. ................................................................................ Prime Education 16 Prime Education 5.3 Volume Area and Volume • Year 8 Mathematics
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