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Volume: lbh

Surface area : 2(lb+lh+bh)

Cone

In general, a cone is a pyramid with a circular cross section. A right cone is a cone with its vertex above the center of its base.

Quadrilaterals

A Quadrilateral is a geometrical shape enclosed by four

straight line segments

e

x

a

m

p

l

e

Triangle

Quadrilateral- Square

Example

Area of a square:

Because each side of a square is of equal length, you'll simply square the length of one side, called t.

Perimeter:

Sum of all sides = 4 x t

A Triangle is a geometrical shape enclosed by three straight line segments. Every triangle has three sides and three angles, some of which may be the same.

Examples

Quadrilateral- Rectangle

Triangles can be of the following types

  • Scalene Triangle
  • Equilateral Triangle
  • Isosceles Triangle
  • Right -angled Triangle

Area of rectangle:

To find the area of a rectangle, you need 2 measurements: the width, or base and the length, or height.

Perimeter:

Sum of all sides : 2*(h+b)

 

Area & Perimeter

h

The Area of a triangle is the space formed by its three sides. It is calculated by using the formula,

A = ½ (b*h)

The perimeter (P) of a triangle is the sum

of lengths of its three sides

P = a + b + c

c

b

a

mensuration

Definition

Prism

circle

Mensuration is the mathematical term for calculating the areas, volumes, length of sides, and other parts of geometric shapes, such as, triangles, quadrilaterals, circles, prisms, spheres, pyramids, cones, polygons, cylinders, etc., through the use of equations or formulas.

  • The circle is a plane geometrical shape in which all points on the shape are equidistant from the center.

Prism is a 3- D shape,

where the front and back

faces are two identical

polygons, and both polygons are connected by parallel lines.

These parallel lines will

ensure that a cross section ANYWHERE on the prism will yield the same identical polygon. 

Area:piπ*(radius*radius)

Perimeter:2π*pi*radius

Volume of a Prism

base area*height

Relevance

Interior decorating

forestry

e

x

a

m

p

l

e

To know how much

paint , wallpaper,

flooring, carpeting or

tile you may need for your project and

to know the area of the walls

In the forestry industry, it is used to

make a projection as to when a

group of trees will be ready to harvest

which can help in determining

how much wood would be available

for sale at any time.

V = ½(b*h*l)

V = ½ × 4 × 13 × 42

V = 1092 cm³

In Cooking

In Timber

To find the quantity of timber

in a trunk with parallel

ends, the areas of a few

sections must be

calculated as accurately as possible.

We use measuring jugs to determine the volume of water, juices, and spices when following recipes

Spoons of different sizes are used to measure and add quantities of specific volume

Area and Perimeter

Perimeter

Area

Area is a quantity that expresses the extent of a two dimensional surface or

shape in the plane. Area can be understood as the amount of paint necessary to cover the surface with a single coat.

Perimeter  is a path that surrounds an area.

The word comes from the Greek peri (around)and meter (measure).

The term may be used either for the path or its length - it can be thought

of as the length of the outline of a

shape. 

Example

thank you

Done By sharath Prathap Nair 9A

3-D figures

Cylinder - Volume and T.S.A

Cube-volume and T.S.A

Cuboid - volume and T.S.A

Cuboid is a box-shaped object. It has six flat sides and all angles are right angles and all of its faces are rectangles

Cube is just a special case of a cuboid where all the dimensions have same magnitude i.e. length = breadth = height.

Cylinder is similar to a prism, but its two bases are circles, not polygons. Also, the sides of a cylinder are curved, not flat.

b

r

l

h

l

Volume = pi*π r*r*h

T.S.A = 2π *pi*r(h+r)

Volume : l³

Surface area : 6l²

Pyramid

A pyramid has a base and triangular sides which rise to meet at the same point.

The base may be any polygon such as a square,

rectangle, triangle, etc. The general formula for the

Examples

+

=

A Pyramid has a base and triangular sides which rise to meet at the same point.

The base may be any polygon such as a square, rectangle, triangle, etc.

Some types :

base = quadrilateral

base = pentagon

base = heptagon

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