# Volume Surface Area and Perimeter Shortcuts and Formulas

**Volume Surface Area and Perimeter Questions - Page 6
Volume Surface Area and Perimeter Video Lecture - Page 7**

This Module describes various standard geometrical structures that exist and methods/formulas or calculating its characteristic values that can be used for various applications/calculations. The structures include circle, triangle, cylinder etc., that exists within or as a shape, in all the practical entities we see in our daily life. So, calculating its area, Volume and perimeter gives the mathematical insight about the structure.

For example, in order to determine the number of tiles of specific shape to be placed over the floor of specific dimension, area of both tile and the floor become the basis.

## Prerequisites (Related Formulas) Area Calculations

Area is a quantity that expresses the extent of a two – dimensional surface or shape in the plane. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint necessary to cover the surface with a single coat.

1 square kilometer = 1,000,000

square meters, 1 square meter = 10,000 square centimetres = 1,000,000 square millimetres

1 square centimetre = 100 square millimeters

1 square yard = 9 square feet

1 square mile = 3,097,600 square yards = 27,878,400 square feet

Volume is the quantity of three – dimensional space enclosed by some closed boundary, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit , the cubic metre.

1 litre = (10 cm)3 = 1000 cubic centimeters = 0.001 cubic metres,

1 cubic metre = 1000 liters.

Small amounts of liquid are often measured in millilitres,

Where 1millilitre = 0.001 litres = 1 cubic centimetre