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 × width A = l × w Perimeter = 2 × (length and width) length width

Area is the measure of the amount of space a shape covers

Perimeter is the distance all the way around the outside.

Finding Area of a Triangle A triangle takes up half the space of a rectangle with the same side lengths. length (base) width (height) Area of a triangle = ½ length × width A = ½ l×w

A triangle takes up half the space of a rectangle with the same side lengths.

Length Perpendicular height Area of a parallelogram = length × perpendicular height A = l×h Finding Area of a Parallelogram

Perpendicular height Length a Length b Finding Area of a Trapezium Area of a trapezium = ½ (length a + length b) × perp height A = ½ (a+b) × h

Radius, r Diameter, d Circumference, c Area of a circle = 3.14 × radius 2 A = π×r 2 Area & Circumference of a Circle Circumference of a circle = 3.14 × diameter C = π×D = 2×π×r

Shape Area Triangle ½ ( L×W) Square L×W Rectangle L×W Parallelogram L × Height Trapezium (A + B) × Height 2 Circle  × r ²

To Find Area of Complicated Shapes Split them up into basic shapes Work out the area of each bit separately The add them altogether

Split them up into basic shapes

Work out the area of each bit separately

The add them altogether

Perimeters of Complicated Shapes Put a dot in one corner then go around the shape Write down the length of every side as you go Even sides that have no length given you need to work out Keep going until you get to the dot 6cm 20cm 14cm 10cm 8cm 10cm

Put a dot in one corner then go around the shape

Write down the length of every side as you go

Even sides that have no length given you need to work out

Keep going until you get to the dot

Surface Area To find the surface area of a 3D shape, imagine it laid out as a net. Calculate the area of each side and then add them together.

Areas and Volumes of 3D Shapes 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)

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 This is also the same as the area of the rectangle on one end (cross section) multiplied by the length of the cuboid Volume of cuboid = length × width × height V = l × w × h

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 = cross sectional area x length

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

Finding the Area of a Prism Volume of prism = Triangle area x length

Area and Volume Using formulae Take 2

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 × width A = l × w Perimeter = 2 × (length and width) length width

Area is the measure of the amount of space a shape covers

Perimeter is the distance all the way around the outside.

Finding Area of a Triangle A triangle takes up half the space of a rectangle with the same side lengths. length (base) width (height) Area of a triangle = ½ length × width A = ½ l×w

A triangle takes up half the space of a rectangle with the same side lengths.

Length Perpendicular height Area of a parallelogram = length × perpendicular height A = l×h Finding Area of a Parallelogram

Perpendicular height Length a Length b Finding Area of a Trapezium Area of a trapezium = ½ (length a + length b) × perp height A = ½ (a+b) × h

Radius, r Diameter, d Circumference, c Area of a circle = 3.14 × radius 2 A = π×r 2 Area & Circumference of a Circle Circumference of a circle = 3.14 × diameter C = π×D = 2×π×r

Shape Area Triangle ½ ( L×W) Square L×W Rectangle L×W Parallelogram L × Height Trapezium (A + B) × Height 2 Circle  × r ²

To Find Area of Complicated Shapes Split them up into basic shapes Work out the area of each bit separately The add them altogether

Split them up into basic shapes

Work out the area of each bit separately

The add them altogether

Perimeters of Complicated Shapes Put a dot in one corner then go around the shape Write down the length of every side as you go Even sides that have no length given you need to work out Keep going until you get to the dot 6cm 20cm 14cm 10cm 8cm 10cm

Put a dot in one corner then go around the shape

Write down the length of every side as you go

Even sides that have no length given you need to work out

Keep going until you get to the dot

Surface Area To find the surface area of a 3D shape, imagine it laid out as a net. Calculate the area of each side and then add them together.

Areas and Volumes of 3D Shapes 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)

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 This is also the same as the area of the rectangle on one end (cross section) multiplied by the length of the cuboid Volume of cuboid = length × width × height V = l × w × h

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 = cross sectional area x length

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

Finding the Area of a Prism Volume of prism = Triangle area x length

Area and Volume Using formulae

Shape Area Triangle ½ ( L×W) Square L×W Rectangle L×W Parallelogram L × Perp Height Trapezium (A + B) × Height 2 Circle Area  × r ² Circle Circumference 2×  ×r or  ×D

……………… . cm 2 (Total 2 marks)

……………… . cm 2 (Total 4 marks)

……………… . ……… (Total 3 marks)

(Total 4 marks)

……………… . cm 2 (Total 3 marks)