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What is Same Size?
Grade Level:
Pre-School – Class 2
All domains without exception
Definition
What is it?
When two or more objects have the exact same dimensions, like length, width, and height, they are said to be the 'same size'. This means they occupy the same amount of space and would fit perfectly into each other's outlines.
Simple Example
Quick Example
Imagine you have two cricket balls. If both balls have the exact same diameter and weight, they are the same size. They would both fit into the same cricket ball stand without any difference.
Worked Example
Step-by-Step
Let's check if two tiffin boxes are the same size.
STEP 1: Measure the length of Tiffin Box A. Let's say it is 15 cm.
---STEP 2: Measure the width of Tiffin Box A. Let's say it is 10 cm.
---STEP 3: Measure the height of Tiffin Box A. Let's say it is 5 cm.
---STEP 4: Now, measure the length of Tiffin Box B. Let's say it is 15 cm.
---STEP 5: Measure the width of Tiffin Box B. Let's say it is 10 cm.
---STEP 6: Measure the height of Tiffin Box B. Let's say it is 5 cm.
---STEP 7: Compare all measurements. Length A (15 cm) = Length B (15 cm). Width A (10 cm) = Width B (10 cm). Height A (5 cm) = Height B (5 cm).
---ANSWER: Since all corresponding dimensions are identical, Tiffin Box A and Tiffin Box B are the same size.
Why It Matters
Understanding 'same size' is fundamental for comparing objects and understanding geometry. Engineers use this concept to ensure parts fit together perfectly, like in car manufacturing. Architects use it to make sure windows and doors are the correct size for their frames, and tailors use it to cut fabric pieces for uniforms.
Common Mistakes
MISTAKE: Judging 'same size' just by looking, without measuring. | CORRECTION: Always measure the key dimensions (length, width, height, or diameter) to confirm if objects are truly the same size.
MISTAKE: Thinking objects are the same size if only one dimension matches. | CORRECTION: For objects to be the same size, ALL corresponding dimensions must be identical, not just one.
MISTAKE: Confusing 'same size' with 'same shape'. | CORRECTION: Objects can be the same shape but different sizes (e.g., a small square and a large square). For them to be the 'same size', they must also have identical dimensions.
Practice Questions
Try It Yourself
QUESTION: A school uniform shirt requires two buttons. If one button has a diameter of 1.5 cm and the other has a diameter of 1.5 cm, are they the same size? | ANSWER: Yes, they are the same size because their diameters are identical.
QUESTION: A mobile phone has a length of 16 cm and a width of 7.5 cm. Another phone has a length of 16 cm and a width of 7 cm. Are these two phones the same size? | ANSWER: No, they are not the same size because their widths are different (7.5 cm vs 7 cm).
QUESTION: You have two ladoos. Ladoo A has a radius of 3 cm. Ladoo B has a diameter of 6 cm. Are they the same size? (Hint: Remember that diameter = 2 * radius) | ANSWER: Yes, they are the same size. If Ladoo A has a radius of 3 cm, its diameter is 2 * 3 cm = 6 cm. Since Ladoo B also has a diameter of 6 cm, they are the same size.
MCQ
Quick Quiz
Which of these pairs shows objects that are the same size?
A small water bottle and a large water bottle
Two identical 5-rupee coins
A rectangular table and a round table
A 10 cm pencil and a 15 cm pencil
The Correct Answer Is:
B
Option B is correct because two identical 5-rupee coins will have the exact same diameter and thickness. The other options describe objects that are clearly different in size or shape.
Real World Connection
In the Real World
When you buy stationery, like a pack of pens, you expect all the pens inside to be the same size so they fit in your pencil box. Similarly, when you order tiles for your home, the workers need them to be the same size so they can lay them evenly without gaps. This ensures uniformity and proper fitting in everyday products.
Key Vocabulary
Key Terms
DIMENSION: A measurable extent of some kind, such as length, breadth, or height. | LENGTH: The measurement or extent of something from end to end. | WIDTH: The measurement or extent of something from side to side. | HEIGHT: The measurement of something from top to bottom. | DIAMETER: A straight line passing from side to side through the center of a circle or sphere.
What's Next
What to Learn Next
Great job understanding 'Same Size'! Now you're ready to explore 'Same Shape'. While 'Same Size' focuses on identical dimensions, 'Same Shape' deals with objects that look alike but might have different sizes. This will help you understand more about geometric figures!
