Measurement Questions, Numericals and Density Practice

📏 Measurement Interactive Practice

Learn volume, area, density, relative density and numericals with animated answers, calculators, flash cards and instant quiz practice.

📌 Key Concepts of Measurement

🥛 Volume

Volume tells how much space a substance occupies. Liquids like milk can be measured using a measuring cylinder or measuring cup.

📐 Area

Area is the surface covered by an object. Regular objects use formulas, while irregular objects can be measured using graph paper.

⚖️ Density

Density tells how much mass is present in a unit volume of a substance.

💧 Relative Density

Relative density compares the density of a substance with the density of water.

Important Formulae

Area of Circle = πr² Area of Rectangle = length × breadth Density = Mass / Volume Speed in m/s = km/h × 5/18

Density

Density = Mass / Volume

📝 Subjective Questions

Click the buttons to reveal each answer.

1. How can we measure the volume of milk contained in a cup?

We can measure it using a measuring cylinder or measuring cup. Pour the milk into the measuring cylinder and note the reading.

2. Describe a method to measure the area of the following:

a. A regular shaped object

Measure its dimensions such as length, breadth, radius, etc. and use the appropriate formula.
Example: Area = length × breadth.

b. An irregular shaped object

Place the object on graph paper and trace its outline. Count full squares and include squares that are half or more than half.
Total area = sum of these squares in cm².

3. Explain the procedure to determine the density of an irregular solid.

• Measure mass using a balance.
• Note initial water level in measuring cylinder.
• Immerse the solid and note final level.
• Volume = Final − Initial using water displacement method.
• Density = Mass / Volume.

4. Distinguish between density and relative density.

Density	Relative Density
Mass per unit volume	Ratio of density of substance to water
Formula: Mass / Volume	Ratio of densities
Has unit such as kg/m³ or g/cm³	No unit
Absolute value	Comparative value

🔢 Numericals: Step-by-Step Solutions

1. The radius of a circle is 7 mm. Find its area.

Formula: Area = πr²

π = 22/7, r = 7 mm

Area = (22/7) × 7 × 7

Area = 154 mm²

2. A metallic sphere weighs 450 g. Volume = 50 cm³. Find density.

Formula: Density = Mass / Volume

Mass = 450 g, Volume = 50 cm³

Density = 450 / 50

Density = 9 g/cm³

3. Convert 27 km/h into m/s.

Conversion formula: km/h × (5/18)

Speed = 27 × (5/18)

= (27 × 5) / 18

Speed = 7.5 m/s

🧮 Practice Calculator

Density Calculator

Mass Volume

Circle Area Calculator

Radius

Speed Converter

Speed in km/h

These calculators help students verify numerical answers quickly.

✅ Quick Concept Quiz

Select the correct answer and click submit to check your score instantly.

1. Density is calculated by: Mass / Volume Volume / Mass Mass × Volume

2. Area of a circle is: πr² 2πr length × breadth

3. Relative density has: No unit kg/m³ cm²

4. Irregular area can be measured using: Graph paper Thermometer Stopwatch

5. To convert km/h into m/s, multiply by: 5/18 18/5 1000