# Volume and its Measurement Class-7th Goyal Brothers Physics Solutions

Volume and its Measurement Class-7th Goyal Brothers Physics Solutions Chapter-1. We Provide Step by Step Answers of Objective, True False , Fill in the blanks, Match the following , Short/Long Answer Type of Chapter-1,Physical Quantities and Measurement unit -2(Volume and its Measurement) Visit official Website  for detail information about ICSE Board Class-7.

## Volume and its Measurement Class-7th Goyal Brothers

Physics Solutions Ch-1 (unit-2)

 Board ICSE Class 7th Subject Physics Book Name Goyal Brothers Theme-1 Physical Quantities and Measurement Unit-2 Volume and its Measurement Topic Solution of exercise questions Session 2023-24

### OBJECTIVE TYPE QUESTIONS

#### A. Fill in the blanks :

1. The space occupied by any material is called its _volume_.
2. The volume of a liquid is generally expressed in _litres_.
3. Natural gas or home cooking gas is generally sold by _mass_.
4. One millilitre of a liquid is equal to one _cm3_ by volume.
5. One _thousand_  litres of a liquid is equal to one m3

#### B. Write ‘True’ or ‘False’ for the following statements :

1. The appropriate unit to express the volume of a swimming tank is litre. [F]
2. The volume of a small stone is expressed in cm3.[T]
3. Cooking gas is sold by volume.[F]
4. The measuring flask is used to find the volume of liquids.[T]
5. The mathematical formula for volume of a sphere is 4/3 πr2.[T]

#### C. Statement given below are incorrect. write the correct correct statement:

1. SI unit of a volume is litre.

Correct Statement: SI unit of a volume is m3.

2. Cooking gas is sold by volume.

Correct Statement: Cooking gas is sold by mass.

3. The volume of liquids is usually expressed in m3 or cm3

Correct Statement: The volume of liquids is usually expressed in litre or ml

4. A pipette can measure any small volume of a liquid.

Correct Statement: A burette can measure any small volume of a liquid.

5. A graduated cylinder is used to measure the volume of sand.

Correct Statement: A graduated cylinder is used to measure the volume of liquid.

(a) l2

(b) l3

(c) lbh

(d)lbh2

Ans: (b) l3

#### 2.The apparatus used to measure very accurately the volume of a liquid between 1 ml to 50 ml is :

(a) pipette

(b) burette

(c) 500ml measuring cylinder

Ans: (b) burette

#### 3. The liquids are generally sold by :

(a) mass only

(b) volume only

(c) both mass and volume

(d) none of these

Ans: (c) both mass and volume

#### 4. For measuring the volume of an irregular stone we need :

(a) only measuring cylinder

(b) measuring cylinder and water

(c)measuring cylinder, water and fine cotton thread

(d) a pipette

Ans: (c)measuring cylinder, water and fine cotton thread

(a) flat

(b) convex

(c) concave

(d) wavy

Ans: (b) convex

#### 4. litre

5. A jar provided with spout to find the volume of irregular solids.

#### 5. 4/3 πr3

Column A Column B
1. A unit is used to express the volume of liquids. 4. litre
2. A unit is used to sell oxygen gas to hospitals. 3. kilogram
3. The formula of a uniform wooden cylinder to find its volume. 2. πr2h
4.The formula of a sphere to find its volume. 5. 4/3 πr3
5. A jar provided with spout to find the volume of irregular solids.

STUDY QUESTIONS

#### (a)W hat do you understand by the term volume of a substance.

Answer: Volume is defined as the amount of space occupied by an object. It is a derived physical quantity from mass and volume. Volume of solids is usually expressed in cubic meters, volume of liquids are expressed in milliliter and liter

#### (b) State the unit of volume in SI system and define it.

Answer: The SI unit of volume is the cubic meter (m3), which is a derived unit.

#### (c) Name the sub-multiple of volume and state its value in terms of SI system..

Answer: The sub multiple of volume is milli-cubic meter (mL) and its value in terms of SI system is 0.001 m^3

#### (a) Why is the volume of a matchbox not measured in SI system ?

Answer: In an SI system, the unit of length is a meter. All the lengths are measured in meters. The dimensions of the matchbox are in centimeters and can not be measure in an sI system. Therefore the dimensions of volume are taken in smaller units i.e cm or mm.

#### (b) Name and define the unit in which the volume of matchbox is generally measured.

Answer: Volume of matchbox is given by l*b*h. Since all the dimensions are measured in (m) so unit is meter cube.

The cubic meter is the unit of volume in the International System of Units. The symbol for cubic meters is m3

#### (c) Describe in details how you will measure the volume of a matchbox, if you are provided with a 15 cm scale?

Answer: Now the match box is of a shape of a rectangular cuboid which is 3 dimensional. The formula of volume of a cuboid is given by V = lbh, where l, b and h are the length, breadth and the height of the cuboid respectively.

#### Question 3. You can measure the diameter of a sphere or a cylinder by using two wooden blocks and a 15 cm scale. Explain how can you measure the volume of

(a) a wooden cylinder

(b) a tennis ball

#### Question 4. By using a measuring cylinder, a fine cotton thread and water, explain how will you find volume of an irregular piece of stone.

Answer: By using a measuring cylinder, a fine cotton thread and water, we can find volume of an irregular piece of stone

Process: Place a measuring cylinder on a table and fill it partially with water. Note the reading of the water level carefully. Now tie the piece of brass with a thread and dip it completely into water. We will see that the level of water rises. Note the reading of the new water level. The difference in the two levels of water gives the volume of the piece of brass.

#### Question 5. Why using an overflow jar, a measuring jar and water, explain how will you find volume of a glass stopper.

Answer: under the spout of overflow jar, place a measuring cylinder. now lower a solid into the water and then it displaces water by its volume which makes the water flow to measuring cylinder ( which we placed earlier) from the spout. Record the volume of water collected in measuring cylinder.

#### Question 6. Name at least two units in which the volume of liquids is measured.

Answer: The two most common units of measuring liquid are: Millilitres. Litres.

#### (a) How many millilitres are contained in (i)1 m3  (ii) 1 litre ?

(i)Cubic metre = 1000 litre = 1000×1000 = 1000000 Millilitre.

(ii) 1 litre is equal to 1000 millilitres (1 L = 1000 mL)

#### (b) How many litres of a liquid make 1 m3 of it?

Answer:  cubic meter is equivalent to 1000 litres. It is a larger unit to measure volume when compared to litre.

Question 8. Amongst the unit of volume (a) cm3(b) m3(c) litre (d) millilitre, which is most suitable for measuring volume of (i) a swimming tank, (ii) a glass filled with milk (iii) a thick dictionary (iv) volume of air in a big ball ?

Answer: Most suitable for measuring volume of a swimming tank is m3

Litre or millilitre  is most suitable for measuring volume of a glass filled with milk

Most suitable for measuring volume of a thick dictionary is cm3

Most suitable for measuring volume of  a volume of air in a big ball is m3

#### Answer: (a)we know 1 cm cube is equal to 1 ml , therefore 500 cm3 is equal to 500 ml.

(b) 500 cm3 = 500 ml

500ml= 1/2 litre

1/2 litre = 0.5 litre.

(c) 500 cm3 = 0.0005 m3.

#### Question 10. A book is 25cm long, 15 cm wide and 2 cm high. What is the volume of the book?

Answer:  Length of the book = 15 cm

height of the book = 2 cm high

the volume of the book = (length×breadth×height)

= (25×15×2)

= 750 cm

#### Question 11. cm3 The level of water in a measuring cylinder is at 12.5 ml. When a stone is lowered in it carefully, the new volume recorded is 21.0 ml. What is the volume of the stone ?

Level of water in measuring cylinder = V1 = 12.5 ml

The level of water in measuring cylinder when stone is immere

= V2 = 21.0 ml

Volume of stone = V2 – V1

V = 21.0 – 12.5

V = 8.5 ml

#### Question 13. A tennis ball is diameter 7.0 cm. What is its volume in (a) cm3 (b) m3 ?

— : end of Volume and its Measurement Class-7th Goyal Brothers :–-

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