NCERT Class 8 Maths Mensuration Quiz

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.