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

Square

Perimeter = 4s

Area = s x s s

s

s

s

Rectangle

Perimeter = 2l + 2w

Area = l x w w w

l

l

Triangle

Perimeter = a + b + c

Area =

b

h

ca

Parallelogram

Perimeter = a + b + c + d

Area = b x ha

b

d

ch

Trapezoid

Perimeter = a + b + c + d

Area =

a

c

b

dh

Rhombus

Perimeter = a + b + c + d

Area = a b

c d

h

k

Circle

Circumference =

Area = r

Sector

Arc length =

Perimeter =

Area =

r

What is a surface area?

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.

What is a volume?

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

3D shapes

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

Prisms

Sphere

Volumes for prisms and pyramids

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.

Rectangular prism

Volume = l x w x h

Surface area = 2lw + 2lh + 2wh

w

h

l

Triangular prism

Volume =

Surface area = bh + bl + 2ls

Cylinder

Volume =

Surface area of solid cylinder =

Surface area of hollow can =

Surface area of hollow cylinder =

Square pyramid

Volume =

Surface area =

Triangular pyramid

Volume =

Surface area =

Cone

Volume =

Surface area of solid cone =

Surface area of a hollow cone =

Sphere

Volume =

Surface area =

Real life dimensions of shapes

0 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.

Soccer field

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

Perimeter = 120 + 120+ 90 +90 = 420mTo know how much grass needed to cover the field we use the area. Area = 90 x 120

=

L = 120m

W = 90m

Basket ball

Radius = 11.7 cmTo know how much air neededto inflate the ball we need to Calculate the volume. Volume =

To know how much leather was usedIn making the basket ball we need to Calculate surface area. Surface area =

r= 11.7cm

Pyramid

Height = 146 mBase = 230 m Lateral height= s

h

b

Volume =

Surface area =

s

Coca Cola can

To know how much colacan fit inside the canwe calculate the volume.

Volume =To know how much aluminum wasUsed in making the closed can we Calculate the surface area. Surface area = I rounded the answerup to take into accountthe waste of material.

Ice cream cone

Radius = 6 cm Height = 11 cmLateral height =

The amount of ice cream That can fit inside the cone Up to the tip of the coneIs V =

r=6cm

h=11cms=12.5cm

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

The End(our farm )