Question

A. Short/Long Answer Questions :
41. Define the term volume of an object.
2. State and define the S.I. unit of volume.
3. State two smaller units of volume. How are they
related to the S.I. unit?
4. How will you determine the volume of a
cuboid ? Write the formula you will use.
5. Name two devices which are used to measure the
volume of an object. Draw their neat diagrams.
6. How can you determine the volume of an
irregular solid (say a piece of brass) ? Describe
in steps with neat diagrams.
7. You are required to take out 200 mL of milk from
a bucket full of milk. How will you do it ?
8. Describe the method in steps to find the area of
an irregular lamina using a graph paper.
9. Define the term density of a substance.
10. State the S.I. and C.G.S. units of density. How
are they related ?
11. "The density of brass is 8.4 g cm-'. What do
you mean by the statement ?
12. Arrange the following substances in order of their
increasing density :
(a) iron
(b) cork
(d) water
(c) brass
(e) mercury.​

Answer 1

Answer:

ans 1

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. ... Displacement of liquid can also be used to determine the volume of a gas.

ans 2meter based on the three dimensional use of the base unit for length, the meter. The more common metric unit for volume is the liter.

So, the SI unite of volume is

=m

3

ans 3

centimetre (symbol cm3) and cubic decimetre (symbol 1 dm3). One cubic centimetre is the volume of a cube of each side 1 centimetre, i.e., 1 cm3 = 1 cm × 1 cm × 1 cm. = 10,00,00

Explanation:

ans 4 Volume of a cuboid = (length × breadth × height) cubic units. = (l × b × h) cubic units. Let us look at the given cuboid. We find that volume of the given cuboid with length 5 cm, breadth 3 cm and height 2 cm is 30 cu cm.

ans 5

Measuring jar, scale, vernier calipers are used to measure the volume of an object.

If the object is irregular, measuring jar is used and volume is measured by displacement method.

If the object is regular its dimensions are measured using either scale or vernier calipers and volume is calculated.

ans6

Answer 2

1. Define the term volume of an object.

Answer→ Volume is defined as the amount of space taken up by an object. It is most often described in terms of meters cubed (m³).

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2. State and define the S.I. unit of volume.

Answer→ The S.I unit of volume is meter^3. (m³)

The derived SI unit for volume is the cubic meter based on the three dimensional use of the base unit for length, the meter. The more common metric unit for volume is the liter.

So, the SI unite of volume is m³.

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3. State two smaller units of volume. How are they  related to the S.I. unit?

Answer→ A smaller unit of volume is cubic centimeter and cubic decimeter. One cubic centimeter is the volume of a cube of each side 1 centimeter

$\sf{1\ m^3=1\ m \times 1\ m \times \times 1\ m}$

$\sf{\implies 1\ m^3=100\ cm\times100\ cm\times100\ cm}\\\\\sf{\implies 1\ m^3=10^6\ cm^3}$

Relationship between m³ and dm³  

We know that,

$\sf{1\ m=10\ dm}\\\\\sf{\implies 1\ m^3= 1\ m\times1\ m\times1\ m}\\\\\sf{\implies 1\ m^3= 10\ dm\times10\ dm\times10\ dm}\\\\\sf{\implies 1\ m^3=10^3\ dm^3}$

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4. How will you determine the volume of a  cuboid ? Write the formula you will use.

Answer→ Volume of Cuboid = (l × b × h)

Where,

• l = length
• b = breadth
• h = height

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5. Name two devices which are used to measure the  volume of an object. Draw their neat diagrams.

Answer→ Devices used to measure volume of an object  :-

• Measuring cylinders

• Measuring beakers

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6. How can you determine the volume of an  irregular solid (say a piece of brass) ? Describe  in steps with neat diagrams.

Answer→ To measure the volume of a piece of stone. Take a piece of brass, a measuring cylinder, fine thread of sufficient length and some water.  Place a measuring cylinder on a flat horizontal surface and fill it partially with water. Note the reading of the water level very carefully. Now tie the piece of brass with a thread and dip it completely into water. We see that the level of water rises. Note the reading of the new water level.

(refer to the second attachment)

The difference in the two levels of water gives the volume of the piece of brass  Initial level of water = 60 ml  

Level of water when brass is immersed = 80 ml  

∴ Volume of water displaced = 80 ml – 60 ml = 20 ml  

∴ Volume of the piece of brass = 20 cm³

• Note : 1 ml = 1 cm³

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