Measuring Length
Metres and centimetres: estimating, measuring with a scale or tape, converting m ↔ cm, and perimeter (the length around a shape).
- Length, height, breadth, and depth are all lengths
- Using 1 m, ½ m, and ¼ m ropes
- The centimetre: 1 m = 100 cm
- Measuring correctly with a scale (even a broken one!)
- Perimeter: the length of a boundary
🏃 Let’s Begin: Sports Day Lines
PT Sir needs a 10 m line for the running race. He has only a 1 m rope. How can he make it? He lays the rope down 10 times, end to end, marking with chalk each time.
Now the children know how long 10 m feels, about 12–14 big steps for a child!
📏 Part 1: The Metre
- A door is about 2 m tall, and a Class 4 child is a little more than 1 m tall.
- ½ m + ½ m = 1 m · ¼ m + ¼ m + ¼ m + ¼ m = 1 m · ¼ m + ¼ m = ½ m
🐜 Part 2: Centimetres
A metre is too big to measure an eraser or a seed. So we divide 1 m into 100 equal parts. Each part is 1 centimetre (cm).
1 m = 100 cm · ½ m = 50 cm · ¼ m = 25 cm · ¾ m = 75 cm
About 1 cm: the width of your little fingernail, a grain of rice (a bit less), an ant.
How to measure with a scale
- Put the 0 mark (not the edge of the scale!) at one end of the object.
- Keep the scale straight along the object.
- Read the number at the other end.
Broken scale? No problem! If a pencil starts at 3 cm and ends at 12 cm, its length is 12 − 3 = 9 cm.
🔁 Part 3: Metres and Centimetres Together
Riya’s height is 132 cm. We can also say 1 m 32 cm. Both are correct!
- 3 m = 300 cm · 2 m 45 cm = 200 + 45 = 245 cm
- 560 cm = 500 cm + 60 cm = 5 m 60 cm
- 1 m 5 cm = 105 cm (not 15 cm!)
🧱 Part 4: Perimeter
The total length around the edge of a shape is its perimeter. Think of the fence around a garden, or the lace around a handkerchief.
A rangoli board has sides of 30 cm, 20 cm, 30 cm, and 20 cm. Perimeter = 30 + 20 + 30 + 20 = 100 cm = 1 m.
On a dot grid where each gap is 1 cm, just count the gaps along the boundary.
Different shapes can have the same perimeter: a 3 × 2 rectangle and a 4 × 1 rectangle both have a perimeter of 10 cm.
✏️ Practice Time
Try these on your own first, then check your answer below each question.
📘 NCERT Textbook Activity Help
Hints and answers for the activities in the textbook, page by page. Try each one yourself before looking at the answer!
Page 80 · Let Us ObserveWhat is measured?
For most classrooms: (a) correct (b) correct (c) incorrect, a door is about 2 m (d) correct. Check in your own classroom.
Measuring with ropes
Whale, bus, giraffe, and crocodile
Parts of a metre
Measuring small things
Treasure hunt: count the 1 cm tiles along each route. The route with the fewest tiles is the shortest.
Broken scale (Q7): subtract the starting mark from the ending mark. The blue paper runs from about 8 to 14 cm, so it is about 6 cm. Check the patterned paper the same way.
Fill the blanks
Stickers: 2 m = 200 cm, and 200 ÷ 20 = 10 stickers.
Ramu and Shamu are both correct: 120 cm = 1 m 20 cm.
Same depth
1 m 40 cm = 140 cm · 4 m 60 cm = 460 cm · 2 m 30 cm = 230 cm · 5 m 50 cm = 550 cm
Bricks, gardens, and dot grids
Q1: The garden with the most “corners in and out” (the cross shape) usually has the longest boundary. Count the bricks to check.
Q2: Count the 1 cm gaps around each shape. The shape that goes in and out the most has the longest boundary, and the small square (2 × 2 = 8 cm) has the shortest.
Q3: Counting the gaps: A = 12 cm · B = 10 cm · C = 10 cm · D = 14 cm · E = 14 cm · F = 14 cm. So B and C match, and D, E, and F match. (Cutting a square from a corner doesn’t change the perimeter!)
Q4: The plain rectangle (first garden) has the smallest perimeter. The garden with a notch cut into the middle of its top has a longer one.
Q6: Shapes with a 20 cm perimeter, e.g. rectangles 6 × 4, 7 × 3, 8 × 2, or a 5 × 5 square.
👨👩👧 Tips for Parents
- Measure family members’ heights and write them in cm and in m cm.
- Let your child measure small things with a ruler, always starting at 0.
- Find the perimeter of a table using a tape, adding all four sides.
