8th Math NCERT Chapter 9
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Important Topics to Study:
1. Area of a Polygon
– Methods to find the area of a polygon by splitting it into triangles and trapeziums.
– Example problems involving polygons like pentagons, hexagons, and trapeziums.
2. Trapeziums and Rhombuses
– Finding the area of trapezium-shaped fields.
– Calculating the area and diagonals of rhombuses.
3. Solid Shapes
– Understanding how two-dimensional figures relate to the faces of three-dimensional shapes.
– Identifying solids like cubes, cuboids, and cylinders and their features.
Summary:
Students will learn to find the area of various polygons by dividing them into simpler shapes, understand properties of trapeziums and rhombuses for area calculations, and grasp the concept of solid shapes such as cubes and cylinders in this chapter on mensuration.
Define the concept of area and perimeter for a closed plane figure.
Explain how to find the area of a polygon according to the chapter.
Solve the exercise problem: 'The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and the perpendicular distance between them is 0.8 m.'
Provide the solution to the problem where the area of a trapezium is 34 cm², one parallel side is 10 cm, and the height is 4 cm. Calculate the length of the other parallel side.
In the context of mensuration, explain how a hexagon can be divided into parts to find its area using different methods.
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