Area and Volume - Prime Education

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