Class 8 Maths - MAHARASHTRA
Area
In the Class 8 Maharashtra State Board chapter on Area, students learn to calculate the surface area and total area of various 2D and 3D geometric figures. Building on previous knowledge of basic shapes like rectangles and triangles, this chapter introduces formulas for finding the area of quadrilaterals, parallelograms, rhombuses, trapeziums, and polygons. Students also explore the surface area of three-dimensional objects such as cuboids and cubes. Mastering this chapter is crucial for board exam success as it forms the foundational base for advanced geometry and mensuration topics in higher secondary standards.
Start Learning FreeKey Concepts
Area of a Parallelogram
The area of a parallelogram is calculated by multiplying the length of its base by its corresponding height (perpendicular distance).
Area of a Rhombus
The area of a rhombus is found by taking half of the product of the lengths of its two diagonals.
Area of a Trapezium
The area of a trapezium is half the product of the sum of the lengths of its parallel sides and the distance between them.
Area of a Polygon
Any irregular polygon can be divided into simpler shapes like triangles and trapeziums to calculate its total area by summing the individual areas.
Total Surface Area of Cuboid and Cube
Total surface area is the sum of the areas of all flat faces enclosing a three-dimensional solid shape.
Important Formulas
Board Exam Info
In the Maharashtra (MSBSHSE) Class 8 Mathematics examination, the Chapter on Area typically carries around 6 to 8 marks. Common question types include direct application of formulas to find the area of trapeziums and rhombuses, word problems involving composite figures, and calculating the total surface area of cubes and cuboids.
Frequently Asked Questions
What is the difference between area and perimeter?
Perimeter is the total length around the outer boundary of a 2D shape, whereas area is the total region or space enclosed inside that boundary.
Can the height of a parallelogram fall outside the shape?
Yes, for an obtuse-angled parallelogram, the perpendicular height or altitude might need to be drawn outside the shape by extending the base line.
How do I find the area of a polygon with more than four sides?
You can split the polygon into simpler non-overlapping shapes like triangles, rectangles, and trapeziums, find the area of each part separately, and then add them all together.
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