## Questions and Answers

Class 8 maths chapter mensuration ncert

## Study Notes

### Mensuration

- Mensuration deals with the calculation of perimeter, area, and volume of various shapes and figures.
- It involves the measurement of external and internal dimensions of 2D and 3D objects.

### Perimeter and Area of Rectangle

- The perimeter of a rectangle is the sum of all its sides, which is 2(l + b) where l is the length and b is the breadth.
- The area of a rectangle is the product of its length and breadth, which is l × b.

### Area of Triangle

- The area of a triangle is half the product of its base and height, which is (b × h)/2.
- The area of a triangle can also be calculated using Heron's formula: √(s(s-a)(s-b)(s-c)) where a, b, and c are the sides of the triangle and s is the semi-perimeter (s = (a + b + c)/2).

### Circumference and Area of Circle

- The circumference of a circle is the distance around the circle, which is 2πr or πd where r is the radius and d is the diameter.
- The area of a circle is πr² where r is the radius.

### Volume of Rectangular Prism

- The volume of a rectangular prism is the product of its length, breadth, and height, which is l × b × h.
- The volume of a rectangular prism can also be calculated by finding the area of the base and multiplying it by the height: (l × b) × h.

### Volume of Cylinder

- The volume of a cylinder is the product of its base area and height, which is πr²h where r is the radius of the base and h is the height.
- The volume of a cylinder can also be calculated by finding the area of the base and multiplying it by the height: (πr²) × h.

### Surface Area of Cube and Cuboid

- The surface area of a cube is 6a² where a is the side length.
- The surface area of a cuboid is 2(lb + bh + lh) where l, b, and h are the length, breadth, and height respectively.

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