NCERT Class 8 Mathematics Chapter 11 Mensuration CBSE Board Sample Problems

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Mensuration

Mensuration, Perimeter, Area
Mensuration, Perimeter, area

Sr. no

Term

Description

1.

Mensuration

It is branch of mathematics which is concerned about the measurement of length, area and Volume of plane and solid figure.

2.

Perimeter

The perimeter of plane figure is defined as the length of the boundary

It units is same as that of length i.e. m, cm, km

3.

Area

The area of the plane figure is the surface enclosed by its boundary

It unit is square of length unit. i.e.

Shapes Where Area and Perimeter Are Known

Shapes Where Area and Perimeter Are Known
Shapes where Area and Perimeter are known

Shapes

perimeter

Area

Rectangle

Breadth of the rectangle

Breadth of the Rectangle

P=2(L+B)

L and B are Length and Breadth of the rectangle

Square

Side of the square

Side of the Square

P=4a

A is side of the square

Triangle

Triangle Image

Triangle Image

P=sum of sides

Parallelogram

Parallelogram

Parallelogram

P=2(sum of adjacent sides)

Circle

Circle Image

Circle Image

r is the radius of the circle

Trapezium

Trapezium Image

Trapezium Image

P=sum of length of all the sides

Half the product of the sum of the lengths of parallel sides and the perpendicular distance between them gives the area of trapezium

General Quadrilaterals

General Quadrilaterals

General Quadrilaterals

P=sum of length of all the sides

Rhombus

P=4a

Where d1 and d2 are the diagonals of the Rhombus.

Important Terms to remember in case of solid figures

Important Terms to Remember in Case of Solid Figures
Important Terms to remember in case of solid figures

Surface Area

Surface Area of a solid is the sum of the areas of its faces

Lateral Surface Area

The faces excluding the top and bottom make the later Surface Area of the solid

Volume

Amount of space occupied by a three dimensional object (solid figure) is called its volume.

We use square units to find the area of a two dimensional region. In case of volume we will use cubic unit to find the volume of a solid, as cube is the most convenient solid shape (just as square is the most convenient shape to measure area of a region)

Volume is sometimes refer s capacity also

Surface Area and Volume of Cube and Cuboid

Surface area and volume of cube and cuboid

Surface Area and Volume of Cube and Cuboid

Type and Measurement
Type and Measurement

Type

Measurement

Surface area of cuboid of length L, Breadth B and Height H

Lateral Surface Area of the cuboids

Diagonal of the cuboids

Volume of a cuboids

LBH

Length of all 12 edges of the cuboids

Surface Area of cube of side L

Lateral Surface Area of the cube

Diagonal of the cube

Volume of a cube

Surface Area and volume of Right circular cylinder

Right circular cylinder

Right Circular Cylinder

Surface Area and Volume of Right Circular Cylinder
Surface Area and volume of Right circular cylinder

Radius

The radius (r) of the circular base is called the radius of the cylinder

Height

The length of the axis of the cylinder is called the height (h) of the cylinder

Lateral surface

The curved surface joining the two base of a right circular cylinder is called lateral surface.

Type and Measurement
Type and Measurement

Type

Measurement

Curved or lateral Surface Area of cylinder

Total Surface Area of cylinder

Volume of cylinder

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