©TeeJay Publishers
General Homework for Book 4G
Ch 8 - Volumes
Chapter 8
Exercise 1
1.
Volumes
Write the volumes of the following shapes by counting the cubes :–
(Give your answer in cubic centimetres (cm3 )).
(a)
(b)
(c)
(d)
(e)
2. By counting out the number of cubes on the top layer first, calculate the total volume (in cm3 )
of each of the following shapes :(a)
3.
(b)
Calculate the volume of each cuboid :(show all your working).
(a)
(b)
4 cm
3 cm
(c)
2 cm
this is chapter 8
page 25
©TeeJay Publishers
General Homework for Book 4G
Remember : Volume = L
Exercise 2
1.
Ch 8 - Volumes
Copy and complete
for this cuboid :-
x
BxH
V=L xBxH
H = 3 cm
V=7x2x3
3
V = ........... cm
2.
B = 2 cm
L = 7 cm
Calculate the volumes of each of the cuboids (show all your working) :(a)
(b)
2 cm
3 cm
(c)
7 cm
4 cm
20 cm
6 cm
5 cm
3.
2 cm
Find the total volume of each shape ;-
(a)
5 cm
(b)
2 cm
1 cm
2 cm
2 cm
(c)
2 cm
2 cm
4 cm
4 cm
4 cm
2 cm
3 cm
4 cm
2 cm
4 cm
4.
10 cm
1 cm
5 cm
Calculate the missing edge in each of the cuboids :(a)
Volume is 24 cm3
(b)
Volume is 96 cm3
height
2 cm
6 cm
2 cm
4 cm
Exercise 3
length
Remember :
3
1 cm
3
1000 cm
1.
= 1 ml
= 1000 ml = 1 litre
A carton of Juicy measures
10 cm by 8 cm by 10 cm
(a) Calculate its volume in cm3.
(Show your working).
Juicy
(b) Write the volume in millilitres.
8 cm
(c) How many litres is this ?
this is chapter 8
10 cm
10 cm
page 26
©TeeJay Publishers
2.
General Homework for Book 4G
Ch 8 - Volumes
Change each of the following to litres :(a)
3.
4000 ml
(b)
8000 ml
(c)
20 000 ml
(d)
500 ml
(e)
150 ml
200 litres
(d)
0·4 litres
(e)
1·8 litres
Change each of the following to millilitres :(a)
4.
4 litres
(b)
80 litres
(c)
Calculate the volume of each container in litres.
(Hint : first find the volume in cm3, then change to millilitres, then change to litres).
(a)
(b)
Water
Tank
60 cm
Exercise 4
10 cm
20 cm
Aquarium
30 cm
40 cm
90 cm
Revision exercise
1.
Write the volume of this shape
in cubic centimetres.
2.
Use the formula to calculate the volume of these cuboids :(a)
(b)
2 cm
30 m
5 cm
9 cm
30 m
40 m
3
3.
A cuboid has length 5 cm and breadth 4 cm. Its volume is 40 cm . Find its height.
4.
Change to litres :-
5.
Calculate the volume of the tank in litres.
(a) 5000 ml
(b) 8500 ml
Copy and complete :-
(d) 20 ml
Water
Tank
Exercise 5E
1.
(c) 250 ml
40 cm
40 cm
50 cm
“The volume of a cylinder is V = ! ...... “
r
h
this is chapter 8
page 27
©TeeJay Publishers
2.
General Homework for Book 4G
Ch 8 - Volumes
Find the volume of the cylinder shown.
4 cm
10 cm
3.
5 cm
Soup
12 cm
4.
Find the volume of the tin of soup.
Farmer Giles has a barn which has a cuboid
as its base and a half cylinder on top.
4m
Find the volume of the barn in m3.
16 m
Exercise 6E
1.
10 m
Copy and complete :-
“The volume of a triangular prism is
V = area of the base x .............. “
2.
Calculate the volume of the following triangular prisms.
(a)
Area = 20
2 cm
(b)
cm2
2 cm
4 cm
5 cm
3.
Find the volume of the garden shed.
1m
2m
2 cm
4.
3m
The volume of this wedge is 30 cm3.
x cm
Calculate x, the height.
6 cm
this is chapter 8
page 28
4m