BASIC MENSURATION FORMULA
You should be familiar with the following units:
- Length: mm, cm, m, km
- Area: mm2, cm2, m2, ha, km2
- Volume: mm3, cm3, m3
- Capacity: ml, cl, l
- Mass: g, kg
- To convert from smaller to larger units we divide by the conversion factor.
- To convert from larger to smaller units we multiply by the conversion factor
The perimeter of a figure is the measurement of the distance
around its boundary.
For a polygon the perimeter is the sum of the lengths of all
The area of a figure is the amount of surface within its
You should be able to use these formulae for area
Rectangles- Area = (length * width)
Triangles-Area = 1/2 (base * height)
Parallelograms-Area = base * height
Trapezia-Area = 1/2 (a + b) * h
The volume of a solid is the amount of space it occupies.You should be able to use these formulae for volume:Solids of uniform cross-section--
Volume of uniform solid = area of end * height
Pyramids and cones= 1/3 (area of base * height)
Volume of a sphere = 4/3(pi)r3
Solids with plane faces
The surface area of a three dimensional figure with plane facesis the sum of the areas of the faces.
To assist in your calculations, you can draw a net of the solid,
correctly labelling the dimensions.
Solids with curved surfaces
You should be able to use these formulae for surface area: