Differentiate between the following.
1. Volume and capacity
2. Area and volume
3. Determination of density of regular solids and determination of density of irregular solids
ne of oil and water have
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If a solid object has an irregular shape, a stone, for example, its volume can be measured in two ways. One is by using a measuring cylinder, and the other one is by using an overflow jar.
Measurement of volume of irregular solid bodies both heavier and lighter than water including those soluble in water, by displacement of water or other liquids in a measuring cylinder.
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Volume
- Volume indicates the total amount of space covered by an object in three-dimensional space.
- Common units (units of measurement) -cm3, m3 .
- Both solid and hollow objects have volume .
- Example :- Cube, Cuboid, Cone and Cylinder . (The amount of milk in a carton is the volume of the milk. )
Capacity
- Capacity refers to the ability of something (like a solid substance, gas, liquid) to hold, absorb or receive by an object.
- Common units (units of measurement)- litre, gallons, pounds .
- Only hollow objects have the capacity.
- Example :- Cone, Cylinder, hollow hemisphere . (The maximum amount of milk that is required to fill up the cartoon is the capacity of the carton. )
Area
- It is to be noted that area is always defined in two dimensions or object in a plane .
- The area is the amount of space occupied by a two-dimensional flat object in a plane.
- It is always measured in square units.
- It is measured in 2 dimension .
Volume
- The volume is always defined for a three-dimensional object.
- Volume is defined as the space occupied by the three-dimensional object.
- It is always measured in cubic units.
- It is measured in 3 dimension .
☆Method 1: For regular solid
- Use a ruler to measure the length (l), width (w) and height (h) of the object.
- Place the object on the top pan balance and measure its mass.
- Calculate the volume of the cube using (l×w×h).
- Use the measurements to calculate the density of the object.
☆ Method 2: For irregular solid
- Place the object on the top pan balance and measure its mass.
- Fill a measuring cylinder so that there is enough water to cover the object when it is placed inside the cylinder. Take the reading of the volume.
- Carefully lower the object into the cylinder.
- Take the new reading of the volume. Subtract the original reading to obtain the volume of the object.
- Use the measurements to calculate the density of the stone.
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