Podcast
Questions and Answers
If the enclosed region has a regular geometric shape, we can use standard formulae to find its ______.
If the enclosed region has a regular geometric shape, we can use standard formulae to find its ______.
area
Then we need to use a ______ paper.
Then we need to use a ______ paper.
graph
To find the area enclosed by the outline, count the number of squares inside it. Count a square only if half or more of it lies inside the ______.
To find the area enclosed by the outline, count the number of squares inside it. Count a square only if half or more of it lies inside the ______.
outline
The total number of squares, multiplied by the area of each square, gives the area inside the ______.
The total number of squares, multiplied by the area of each square, gives the area inside the ______.
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The thicker lines on the ______ paper are 1 cm apart, while the thinner lines are 1 mm apart. Thus, the entire paper is divided into small squares of area 1 mm² each, and larger squares of area 1 cm² each.
The thicker lines on the ______ paper are 1 cm apart, while the thinner lines are 1 mm apart. Thus, the entire paper is divided into small squares of area 1 mm² each, and larger squares of area 1 cm² each.
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For the shape in Figure 1.1, the number of squares with half or more within the ______ = 7.
For the shape in Figure 1.1, the number of squares with half or more within the ______ = 7.
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The total number of squares = 17...the area of each large square = 1cm², the area of the irregular shape = 17 x 1 cm² = ______ cm².
The total number of squares = 17...the area of each large square = 1cm², the area of the irregular shape = 17 x 1 cm² = ______ cm².
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Place a piece of paper or cardboard with an irregular shape on a graph paper and draw its ______.
Place a piece of paper or cardboard with an irregular shape on a graph paper and draw its ______.
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The unit of volume is given by the cube of the unit of ______.
The unit of volume is given by the cube of the unit of ______.
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If length is measured in cm, the unit of volume is ______.
If length is measured in cm, the unit of volume is ______.
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The litre symbol is represented by the letter ______.
The litre symbol is represented by the letter ______.
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Containers with a fixed capacity are used for measuring the volume of ______.
Containers with a fixed capacity are used for measuring the volume of ______.
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Conical measuring cans are generally used to measure liquids sold by ______.
Conical measuring cans are generally used to measure liquids sold by ______.
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Metal cups with long handles are commonly used for measuring ______ or cooking oil.
Metal cups with long handles are commonly used for measuring ______ or cooking oil.
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The inner volume or capacity of a container is measured in terms of the liquid it can ______.
The inner volume or capacity of a container is measured in terms of the liquid it can ______.
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The volume of liquid which a container can hold is called its ______.
The volume of liquid which a container can hold is called its ______.
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Study Notes
Measuring Irregular Areas
- Area is the measure of the region inside a closed line.
- To find the area of an irregular shape, use a graph paper with parallel lines (thicker lines 1 cm apart, thinner lines 1 mm apart) to divide the paper into small squares (1 mm² each) and larger squares (1 cm² each).
- Count the number of squares inside the outline, counting only those with half or more of the square inside the outline.
- The total number of squares, multiplied by the area of each square, gives the area inside the outline.
Measuring Volume
- The unit of volume is given by the cube of the unit of length (e.g., meter³, cm³, etc.).
- The litre (L) and millilitre (mL) are units of volume used to measure the volume of liquids.
- 1 m³ = 1,000,000 cm³, 1 L = 1000 cm³, and 1 mL = 1 cm³.
- Gallon and ounce are units of volume used in the UK and US, but they measure different volumes in the two countries (e.g., 1 US gallon = 3.78 L, 1 UK gallon = 4.54 L, etc.).
- A hollow body or container has an outer volume and an inner volume (capacity), measured in terms of the liquid it can hold.
- Containers with fixed capacities, such as conical measuring cans and metal cups, are used to measure the volume of liquids.
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Description
Learn how to measure the area of irregular shapes using graph paper. Explore the concept of dividing a region into small squares and calculating the total area by counting the squares. Understand the significance of using graph paper for determining areas of irregular shapes.
