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# Geometric Shapes - PowerPoint PPT Presentation

Geometric Shapes. Majed Al Naimi 9C. What is a perimeter?. A perimeter of a shape is the sum of the distances around the sides of the shape as shown in red. Perimeter. What is an area ?. The area of a shape is the number of square units that can fit inside the shape as shown in red. Area.

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### Geometric Shapes

Majed Al Naimi 9C

A perimeter of a shape is the sum of the distances around the sides of the shape as shown in red.

Perimeter

The area of a shape is the number of square units that can fit inside the shape as shown in red.

Area

Square

s

Perimeter = 4s

Area = s x s

s

s

s

Perimeter = 2l + 2w

Area = l x w

l

w

w

l

Perimeter = a + b + c

Area =

a

c

h

b

Perimeter = a + b + c + d

Area = b x h

d

a

h

c

b

Trapezoid

Perimeter = a + b + c + d

Area =

a

c

h

d

b

Perimeter = a + b + c + d

Area =

a

b

h

k

c

d

Circumference =

Area =

r

Arc length =

Perimeter =

Area =

r

The surface area of a three-dimensional solid with plane faces is the sum of the areas of the faces.

Surface area is the sum of the areas of the outside rectangle or how much paint we need to paint it from the outside.

The volume of a solid is the amount of

space it occupies.

Volume of this shape is for example how much water can fit inside

There are different examples of regular 3D shapes like, prisms, pyramids and spheres.

Prisms

Sphere

The volume of a prism is

the area of the base multiplied

by the height.

The volume of a pyramid is one third the area

of the base multiplied by the height.

Volume = l x w x h

Surface area = 2lw + 2lh + 2wh

h

w

l

Volume =

Surface area = bh + bl + 2ls

Volume =

Surface area of solid cylinder =

Surface area of hollow can =

Surface area of hollow cylinder =

Volume =

Surface area =

Volume =

Surface area =

Volume =

Surface area of solid cone =

Surface area of a hollow cone =

Volume =

Surface area =

• In the following slides I will be finding the real measurements of some shapes in real life such as soccer fields, pyramids, coca cola can, basket ball and traffic cone.

L = 120m

To know how many a meters a player would run around the soccer field we calculate the perimeter

Perimeter =

120 + 120+ 90 +90

= 420m

To know how much grass needed to cover the field we use the area.

Area = 90 x 120

=

W = 90m

Radius = 11.7 cm

To know how much air needed

to inflate the ball we need to

Calculate the volume.

Volume =

To know how much leather was used

In making the basket ball we need to

Calculate surface area.

Surface area =

r= 11.7cm

Height = 146 m

Base = 230 m

Lateral height= s

h

s

b

Volume =

Surface area =

To know how much cola

can fit inside the can

we calculate the volume.

Volume =

To know how much aluminum was

Used in making the closed can we

Calculate the surface area.

Surface area =

I rounded the answer

up to take into account

the waste of material.

Radius = 6 cm

Height = 11 cm

Lateral height =

The amount of ice cream

That can fit inside the cone

Up to the tip of the cone

Is V =

r=6cm

h=11cm

s=12.5cm

The amount of biscuits used is the surface area of the hollow cone

Surface area =