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.

**Prism**

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

Quadrilateral- Square

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)

Quadrilateral- Rectangle

A Quadrilateral is a geometrical shape enclosed by four

straight line segments

**Quadrilaterals**

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

**mensuration**

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

Pyramid

Examples

Triangles can be of the following types

Scalene Triangle

Equilateral Triangle

Isosceles Triangle

Right -angled Triangle

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

Area:piπ*(radius*radius)

Perimeter:2π*pi*radius

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

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.

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.

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.

l

l

l

Volume : l³

Surface area : 6l²

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

Cube-volume and T.S.A

b

l

h

Volume: lbh

Surface area : 2(lb+lh+bh)

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

Cuboid - volume and T.S.A

r

h

Volume = pi*π r*r*h

T.S.A = 2π *pi*r(h+r)

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

Cylinder - Volume and T.S.A

V = ½(b*h*l)

V = ½ × 4 × 13 × 42

V = 1092 cm³

Volume of a Prism

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.

**Definition**

base = heptagon

base = pentagon

base = quadrilateral

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 :

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

Area & Perimeter

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.

Cone

=

+

+

**Relevance**

forestry

Interior decorating

In Cooking

Area

Perimeter

**Area and Perimeter**

**circle**

e

x

a

m

p

l

e

**Triangle**

Example

e

x

a

m

p

l

e

**3-D figures**

a

c

b

h

b

In Timber

**thank you**

base area*height

Done By sharath Prathap Nair 9A