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Grade 7 Mathematics Lessons on Measurement: Volume and Capacity
Convert the following to cubic metres:
334 780
c
m
3
(2m 27s)
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1.
Convert the following into cubic centimetres:a)
2.85
m
3
b)
0.0234
m
3
2.
A box has a volume of
0.0085
m
3
. What is its volume in cubic centimetres?
3.
Kalung’e built a concrete tank to store water. The volume of the tank is
4.975
m
3
. What is the volume of the tank in cubic centimetres?
4.
Mumbua dug a hole to plant a banana seedling. She discovered that the volume of the soil she dug from the hole was
0.75
m
3
. What is the volume of the hole she dug in cubic centimetres?
5.
In a factory, workers stored
365
000
000
c
m
3
of milk in
1
m
3
containers. How many containers did they use to store the milk?
6.
Convert the following to cubic metres: 334 780
c
m
3
7.
Work out the volume of the cube below.
8.
What is the volume of the cuboid below?
9.
Gatuto used 12 matchboxes to make a building model during innovation day in his school. The matchboxes were 6 cm long, 3.5 cm wide and 1.5 cm high. Work out the volume of the model he made.
10.
The length, the width and the height of a brick are 25 cm, 12 cm and 8 cm respectively. How many such bricks will be required to build a wall that is 20 m long, 48 cm wide and 6 m high?
11.
The volume of a container is 1 440
m
3
. The container is 15 m long and 8 m wide. Calculate the height of the container.
12.
Work out the volume of the figure below. (Use p=3.14)
13.
The radius of a cylindrical tank is 2.1 m and the height is 8.2 m. Work out the volume of the tank in cubic centimetres. (Use
p
=
22
7
)
14.
Nyairera uses a pot to boil drinking water. She measured the radius and the height of the pot to determine the volume of the pot. The radius was 22 cm and the height was 15 cm. What is the volume of the pot? (Use p=3.14)
15.
During an Integrated Science Project, Kibet measured the diameter and the height of a cell as 32 mm and 56 mm respectively. Determine the volume of the cell. (Use p=3.14)
16.
The volume of a cylinder is 3 080
c
m
3
. The height of the cylinder is 20 cm. Calculate the radius of the cylinder. (Use p=
22
7
)
17.
Convert to litres. 1200
1
4
m
3
18.
Convert the following into cubic metres. a) 0.0067 L b) 4 L
19.
The fuel tank of a car has a capacity of 34 L. What is the capacity of the fuel tank in? a) Cubic centimetres b) Cubic metres
20.
Convert 540 L to cubic centimetres.
21.
A water tank has a volume of 7.8
m
3
. What is the capacity of the tank in litres?
22.
Kabua’s lunch box has a volume of 750
c
m
3
. She filled the box with water. Work out the capacity of the water in the box in litres.
23.
Kajuma filled a rectangular tank 3.75 m long and 1.2 m wide with water. The height of the tank is 2.4 m. Work out the capacity of the water in the tank in litres.
24.
Okang’o is a poultry farmer. He uses a cylindrical pipe to store water for the chicks. The length of the pipe is 1.4 m and the diameter is 14 cm. He wants to know the capacity of the pipe so that he can store enough water for the chicks. Help Okango determine the capacity of the pipe in litres. (Use p=
22
7
)
25.
A tank 7 m long, 4 m wide and 3 m high serves a certain family with water. One day, the family wanted to know how much water was in the tank. The depth of water in the tank was halfway. Calculate the capacity of the water.
26.
Njambi filled a cylindrical tank with water. The tank is 2 m high and has a diameter of 2.8 m. (Use p=
22
7
) a) Work out the capacity of the tank in litres. b) Later in the week, she decided to paint her tank. She transferred the water to fill a cuboidal container 4 m long and 2.2 m wide. Calculate the height of the container.
27.
The figure shown, shows Noor’s water tank that he uses to store water to irrigate his crops. Work out the capacity of the tank when it is full. (Use p=3.14)
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