NCERT Solutions for Class 8 Maths Chapter 11 Mensuration

Students in lower classes should have found out about the area and perimeter of different closed plane figures, for example, triangles, rectangles, circles and so forth. In this part, Mensuration, students will figure out how to take care of problems identified with perimeter, and other plane closed figures like quadrilaterals. Finally, the students would find out about the surface area and volume of various solid shapes, for example, a cube, cuboid and cylinder. An aggregate of 4 exercises is available in this part.

Volume of a 3D Object
Volume is considered as the space occupied by the three-dimensional object. It is a three-dimensional quantity. Volume of a cuboid = l×b×h Volume of a cube = l3 Volume of the cylinder = πr2h

Mensuration
Mensuration is known as the study of geometry regarding the measurement of lengths, volumes and areas.
Perimeter is known as the total length of the path of a given shape.
Area is the total region covered by the given shape.
Volume is the total space occupied by the given shape.

Identifying Shapes and Areas of Different Regular Figures

• Area of a Rectangle: length×breadth
  Perimeter: 2(length+breadth)
• Area of Square: side×side
• Perimeter: 4×side
• Area of Triangle: 1/2 (base×height)
  Perimeter: a+b+c (sum of 3 sides)
• Area of Parallelogram: base×height
  Perimeter: 2(length+breadth)
• Area of Circle: π×(radius)2
  Perimeter: 2×π×radius.
• Area of Trapezium =1/2 ×h (sum of 2 parallel sides)
• Area of a Quadrilateral= 1/2×d×(h1+h2)
• Area of Rhombus =1/2 ×d1×d2

Solid Shape
Solid shapes or solid figures are the three-dimensional figures which have length, breadth and height.

Surface Area of Solid Shapes
The surface area of an object is calculated as the total area occupied by the surface of the object.

• Total Surface area of a cube =6l²
• Lateral Surface area of a cube =4l²
• Curved Surface Area of a cylinder (C.S.A) = 2πrh
• Total Surface Area of a cylinder (T.S.A) = 2πr(r+h)

Relation between Volume and Capacity
Volume is known as the total space occupied by any objects and is measured in cubic units. Capacity generally refers to the maximum measure of an object's ability to hold a substance.

Key Features of Aakash's NCERT Solutions

• The chapter of mensuration becomes fun and interesting in the way it has been illustrated in Aakash's Solution.