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Size is a concept in which you view something, usually physical, in relation to something else as bigger or smaller, more or less, for lack of a better word. This comparison eventually leads to the measurement of things, which leads to the determination of a quantity's magnitude. Clothing sizes, shoe sizes, and so on have all contributed significantly to the simplification of life as we know it. To really understand the relevance of time in math and beyond, a youngster must become acquainted with these real-life examples that explain the use of measurement and how important it is to know the relativity factor between two or more objects on the basis of its size.
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Key Terms: Measurement, Size, Measurement Of Objects, Size Of Objects, Scales, Units Of Measurement, Length, Mass, Volume
What are Size of Objects?
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Concept of size is something that we all learn at a young age. As children, we have a sense of what is enormous and what is tiny, especially in comparison to ourselves. However, there is one key feature to this that we will discover later: the relative character of what we term size. The size of an object, or anything for that matter, has no meaning in and of itself. Size is only an approximation of one entity in relation to another.
Size is relative, big or small, tiny or tall, all this can be said only when compared with something else. For example, the cricket ball is small in comparison with the basketball but is large when compared to a tennis ball. This ambiguity shows that size is a relative term.
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Ways to Measure Size
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Objects or other entities can be measured in a variety of ways. Size can refer to a body's length, width, or height, that is its dimensions. Size can also refer to a person's mass or weight. Size can also refer to the volume or quantity of space occupied by a body. We need to know what we wish to measure before we can establish the size of items. The measuring of items is essentially three quantities for physical understanding. They are as follows:
- The three dimensions of an object are its height, length, and width. These are the objects that are measured in meters.
- Mass is a measurement of how heavy the body is. These are the objects that are typically measured in grams.
- Volume is a measurement of how much space a body takes up. These are the objects that are typically measured in cubic centimeters.
Object Measurement Scales
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As we've seen, the size of things is entirely subjective. When we talk about size, we are referring to the magnitude of one thing in contrast to another, and this comparison leads to quantitative analysis. Clothing, footwear, and even portion sizes are examples of this, and understanding them is essential for daily living activities. Because size does matter, both in science and in nature, a lot of work has gone into the scientific study of this notion.
This research resulted in the scales of measuring we have today, which we employ to determine the scientific measurement of objects.
We have a variety of scales for measuring objects, ranging from ancient to current and belonging to different locations. Each scale has its own unit system. A unit is a well-known benchmark against which we can compare our given quantity to obtain a magnitude. As a result, all measurements have a magnitude and a unit. Two of the most widely used unit systems in the world are:
- S.I. stands for the International System of Units.
- The C.G.S. unit system.
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International System of Units (S.I.)
SI system is a standard unit system that is a modernized version of the widely used metric system. It has a predefined set of units for basic or primary physical values, such as length in meters, weight in kilograms, time in seconds, and so on. The SI system provides for an endless number of derived quantities, which result from manipulating the primary units. Except for the United States of America and its surrounding areas, this unit system is widely used around the world. The SI system provides a universally recognized scale for measuring objects.
C.G.S. Unit System
C.G.S. system of units is another metric system substitute that uses three basic quantities: centimeters for length, grams for weight, and seconds for time. Every other quantity is a derivation of these foundation units. Although the SI system is the most widely used unit system, there are numerous places where the C.G.S. system must be implemented. C.G.S., for example, is frequently utilized to build on several hypotheses in many areas of physics. As a result, the C.G.S. system is yet another method for conveying the size of objects and other quantifiable phenomena.
Units of Measurement for Length
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Length can be measured in a variety of ways, including centimeters, inches, and meters, as well as by using a handspan, foot span, and so on. Standard length measuring units and non-standard length measuring units are the two types of length measuring units. Check out the chart below for length units.
SI Unit of Length
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The SI unit of length measurement is the meter (m). The meter is the basic unit of length, as indicated in the above chart. Its equivalent in other units is provided below:
- 1 m = 100 cm
- 1 m = 1000 mm
- 1 m = 0.001 km
- 1 m = 39.37 inches
- 1 m = 1.09361 yards
- 1 m = 3.28 feet
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Things To Remember
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- Objects or other entities can be measured in a variety of ways. Size can refer to a body's length, width, or height, that is its dimensions.
- Two of the most widely used unit systems in the world are:
- S.I. stands for the International System of Units.
- C.G.S., for example, is frequently utilized to build on several hypotheses in many areas of physics.
- Standard length measuring units and non-standard length measuring units are the two types of length measuring units.
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Sample Questions
Ques 1: Explain how to use a ruler to measure a straight line and determine its length. (3 marks)
Ans: To establish the length of a straight line drawn on paper, we need to use a common centimeter or meter scale. The measurement procedure is as follows:
- Align the 0 marks on the ruler with one end of the straight line.
- Check that the ruler's edge is perfectly aligned with the line.
- Look at the mark that coincides with the other end of the straight line from a perpendicular angle.
- Take note of the value of this mark. This point denotes the length's magnitude. The scale unit used for measuring is also significant and should be included.
Ques 2: How to convert 12 yards to feet? ( 3 marks )
Answer: Yards and feet are units of measuring length in the imperial system of measurement. There are 3 feet in 1 yard.
\(\implies\) 1 yard = 3 feet
\(\implies\)So, for 12 yards = 12 × 3 feet = 36 feet
Therefore, there are 36 feet in 12 yards.
Ques 3: Can a pencil of length 350 mm fit inside a pencil box of length 45 cm? ( 3 marks )
Ans: Given, measurement of length of pencil = 350 mm and length of pencil box = 45 cm. Both units are different, so let us convert 45 cm to mm.
\(\implies\) 1 cm = 10 mm
\(\implies\) 45 cm = 45 × 10 mm
= 450 mm
Since 350 mm < 450 mm, the pencil must be able to fit inside the box.
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Ques 4: A swing has to be built using a rope of length 7200 inches. If only 420 feet of rope is available, find the length of rope still needed (in feet) to build the swing ( 4 marks )
Ans: Given that the entire length of rope required is 7200 inches and the length of rope available is 420 feet, the total length of rope required is 7200 inches and the length of rope accessible is 420 feet. To determine the length of rope still required to construct the swing, we must first convert 7200 inches to feet.
- 1 inch equals 1/12 foot
- 7200 inches equals 7200/12 feet equals 600 feet
As a result, the total length of rope required in feet is 600 feet. A total of 420 feet are accessible. As a result, the required length of rope is (600 - 420) feet = 180 feet.
As a result, the remaining length of rope required to construct the swing is 180 feet.
Quest 5. Find the lateral surface area and total surface area of a cuboid length 90 cm, breadth 30 cm and height 15 cm. (5 marks)
Ans. It is given that,
Length = 90cm, Breadth = 30cm and Height = 15 cm
As we know,
Lateral Surface Area = 2 × height(length + breadth
= 2 × 15 (90 + 30)
= 30(120)
=3600 cm
Total Surface Area = (length × breadth) + (breadth × height) + (height × length)
= (90 × 30) + (30 × 15) +(15 × 90
= 2700 + 450 + 950
= 4100 cm2
Ques 6. Find the length of a ribbon of 20 inches in centimeters ( 3 marks )
Ans: According to the formula for measurement conversion,
we know that 1 inch = 2.54 cm.
Given: the length of the ribbon is 20 inches.
So for, 20 inches
= 20 × 2.54 cm
= 50.8 cm.
Therefore, the length of the ribbon in centimeters is 50.8 cm.
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Ques 7. Noah's weight is 48000 grams. What is his weight in kilograms?
Ans: Given that Noah's weight is 48000 grams.
Kilograms and grams are both measurement units, and are inter-convertible so, we can convert grams to kilograms we divide the value by 1000.
1 g = 1/1000 kg
48000 g = 48000/1000 kg
= 48 kg
Therefore, Noah's weight in kilograms is 48 kg
Ques 8: Kate rides her bicycle 1.5 miles per day. How many kilometers does she ride in a week?
( 4 marks )
Ans: A mile has 1.6 kilometers.
Given, Kate rides 1.5 miles
So, to measure kilometers from miles, we shall multiply it by 1.6 km
1 mile = 1.6 km
1.5 miles = 1.5 × 1.6 km
= 2.4 km
Now, multiply 2.4 km by 7, as there are 7 days in a week.
⇒ 2.4 × 7 km
= 16.8 km
Therefore, Kate rides 16.8 kilometers in a week.
Ques 9: What is the significance of measurement? ( 4 marks )
Ans: It is necessary to measure some things in order to comprehend the world around us, such as distance, time, temperature, and so on. Measurement is a notion that is utilised in practically every field; a few examples are provided below.
Accurate measurement of agricultural fields and floor spaces is necessary for purchase/sale operations.
Volumes necessary for packaging milk, liquids, and solid edible food items are measured.
Surface area measurements are essential for estimating the cost of painting houses, buildings, and other structures.
Ques 10: The mass of an object is 6,000 pounds. Calculate its mass in tons. ( 2 marks)
Ans: We know that 1 ton = 2000 pounds.
Thus, 6000 pounds = 6000/2000=3 tons.
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