### BASIC MENSURATION FORMULA

**UNIT**-**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

__LENGTH-__

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

sides

UNIT-METER

__AREA-__
The area of a figure is the amount of surface within its

boundaries.

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

__VOLUME-__**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

__SURFACE AREA__

**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: