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physics Physics For High Schools (KS4)
 
Solved problems for the chapter:
 

Volume Measurement, Units and Measuring Devices

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Example 1.

A stone is transferred from a small measuring cylinder to a large measuring cylinder that has twice the capacity.




If the reading on the small measuring cylinder goes down by , by how much does the reading on the large cylinder go up?





    
Example 2.

Which property of an irregularly shaped stone can be found using a measuring cylinder half-filled with water?

  • length

  • weight

  • mass

  • volume

    
3.

Figure 1 below shows a rectangular block.


Figure 1



Figure 2 shows the same block from the front and from the side.


Figure 2



What is the volume of the block?





    
4.

Figure 1 shows a measuring cylinder containing water. A metal weight with a cock attached by a thread is held above the water.

Figure 2 shows the apparatus after the weight has been lowered into the water without the cork.

Figure 3 shows the apparatus after the weight has been lowered into the water with the cork.




What is the volume of the cork?





    
5.

The figure below shows a measuring instrument.




Which of the following quantities is this instrument used to measure?

  • length

  • volume

  • time

  • mass



    
6.

The figures below show a measuring cylinder before and after some of the water in it is poured into a beaker.




How much water has been poured into the beaker?





    
7.

Which measuring instrument can be used to find the volume of a small stone?

  • Metre rule

  • Measuring tape

  • Protractor

  • Measuring cylinder partly filled with water

    
8.

The diagram below shows the dimensions of a rectangular block.




Which of the expressions below gives the volume of the block?





    

9.

The liquid in the measuring cylinder below is collected in drops.




If the average volume of one drop is , how many drops are in the cylinder?

  • 160

  • 100

  • 80

  • 16

    
10.

Which of the following quantities can be measured using only a measuring cylinder with some water?

  • the length of a stone

  • the mass of a stone

  • the volume of a stone

  • the density of a stone

    
11.

The figures below show four solid blocks P, Q, R, and S with their dimensions.




Which of the following statements is true?

  • The volume of block P is equal to that of Q.

  • The volume of block Q is equal to that of S.

  • The volume of block S is equal to that of P.

  • The volume of block R is equal to that of S.

    
12.

A student measures the volume of a quantity of water. Which of the following apparatus is suitable?

  • a ruler

  • a thermometer

  • a measuring cylinder

  • a balance

    
13.

A farmer poured of wheat into the granary in the shape of a cuboid of length and width . How high did the wheat reach in the granary?

    
14.

The figure below shows a measuring cylinder containing some water.




A student adds 20 drops of water to the water that is in the measuring cylinder and the new volume of water in the cylinder becomes . Calculate the average volume of one drop of water.

    
15.

A small pool in the shape of a cuboid with a length and width of each is filled with water using a bucket that holds liters. How many buckets will fill the pool to a height of ?

    
16.

The figure below shows the volume of water collected in a measuring cylinder by a student.




Determine the volume of water in the measuring cylinder.

    
17.

A cuboid-shaped trough holds litres and is filled to the top with a liquid. How high will the liquid reach if it is poured into another cuboid-shaped trough with a base area ?

    
18.

A student geologist measures the volume of two rocks X and Y using two measuring cylinders that contain different volumes of water. He places each rock into one measuring cylinder and the measuring cylinders before and after the rocks are put in are shown below.




Which rock has a higher volume?

    

19.

There is of water in a rainwater tank. Water can be drawn from the tank every with a -litre bucket to water a garden.


  • What is the total number of full buckets of water that can be drawn from the tank?

  • How many hours will it take to water the garden with all of the water in the tank using the bucket?

    
20.

The rectangular tank shown below is filled with water to half its capacity.




What is the volume of water in the tank?

    
21.

A quantity of oil is shared into two measuring cylinders as shown below.




What is the total volume of oil?

    
22.

Convert:


 

    
23.

Convert and write the result in a scientific notation:


 

    
24.

Convert and write the result in a scientific notation.


 

    
25.

Convert and write the result in a scientific notation:


 

    
26.

Convert:


 

    
27.

Convert and write the result in a scientific notation:


 

    
28.

Convert and write the result in a scientific notation.


 

    

29.

Convert and write the result in a scientific notation:


 

    
30.

Convert and write the result in a scientific notation:


 

    
31.

Convert and write the result in a scientific notation:


 

    
32.

Convert and appropriately express the result in a scientific notation.


 

   
33.

Convert:


 

    
34.

Convert and write the result in a scientific notation.


 

    
35.

Convert:


 

   
36.

Convert and write the result in a scientific notation:


 

    
37.

Convert and write the result in a scientific notation.


 

    
38.

Convert and write the result in a scientific notation:


 

    

39.

Convert and appropriately express the result in a scientific notation.


 

   
40.

Convert and express in a scientific notation:


 

    
41.

Convert and appropriately express the result in a scientific notation.


 

   
42.

Convert:


 

    
43.

Convert:


 

    
44.

Convert:


 

    
45.

Convert and write the result in a scientific notation:


 

    
46.

Convert:


 

   
47.

Convert:


 

   
48.

Convert:


 

   

49.

Convert:


 

   
50.

Convert:


 

   
51.

Convert:


 

   
52.

Convert and appropriately express the result in a scientific notation:


 

    
53.

Convert:


 

   
54.

Convert:


 

   
55.

Convert:


 

   
56.

Convert and appropriately express the result in a scientific notation:


 

    
57.

Convert and appropriately express the result in a scientific notation.


 

   
58.

Express the value below in the base unit and replace the prefix with the appropriate multiplying factor:


     

59.

Convert:


 

    
60.

Convert:


 

   
61.

Convert:


 

   
62.

Convert and appropriately express the result in a scientific notation: