Transcript Area and Volume

Area and Volume
Using formulae
Finding Area and Perimeter of a
Square or Rectangle
• Area is the measure of the amount of space
a shape covers
• Perimeter is the distance all the way around
the outside.
Area of a rectangle = length x width
Perimeter = 2(length and width)
width
length
Parallelogram
Perpendicular
height
Length
Area of a parallelogram:
length x perpendicular height
Trapezium
Length a
Perpendicular height
Length b
Area of a trapezium:
( length a + length b) x perpendicular height
 (a+b) x h
Shape
Area
Perimeter
Triangle
Square
½ (LxW)
LxW
Add 3 sides
2(L+W)
Rectangle
LxW
2(L+W)
Parallelogram
L x Height
2(L+W)
Trapezium
(A + B) x Height
2
Add all 4 sides
Circle
 r²
xD
To Find Area Complicated
Shapes
1. Split them up into basic shapes
2. Work out the area of each bit separately
3. The add them altogether
Perimeters of Complicated
Shapes 1. Put a dot in one
corner then go
around the shape
2. Write down the
length of every side
as you go
3. Even sides that
have no length
given you need to
work out
4. Keep going until
you get to the dot
Areas and Volumes of 3D Shapes
Volume of a cuboid
• The volume of a 3D shape is a measure of
the amount of space it occupies
• Typical units of measure are cubic
centimetres (cm³) and cubic metres (m³)
Volume of a Cuboid
• The volume of a cuboid can be written as
length x width x height
=lxwxh
Or you could think of it as the area of the
cross section multiplied by the height
Volume of a Prism
• A prism is a 3D shape with the same cross
section all along its length
• To calculate the volume of the prism you
need to find the area of the cross section and
multiply it by the height or length
Volume of prism
= area of cross section x length
Finding the Area of a Prism
This shape is a triangular
The volume is
Area of cross section x length