# Mathematics Flashcards

Area of a triangle

(base x height) / 2

Area of a rectangle/square

Base x height

Area of irregular figures

Divide the figure into rough smaller shapes e.g. squares and triangles.

Area of circles

Pie R Squared (R is the radius=half the diameter)

Volume Definition

Amount of space taken up by an object or container m^3

Capacity Definition

Amount a container can hold e.g. a liquid or a gas.

Volume of rectangular tanks

Width x Length x Height

Volume of rectangular tank with sloping base e.g. swimming pool

Add together values for deep and shallow ends and divide by 2 then multiply this value by the length and the width.

Volume of Circular Tanks

Surface area is calculated as normal and then multiplied by the height of the tank.

or

0.8xd^2xh (Multiply answer by 1000 to get capacity in litres or 800 x d^2 x h

Volume of Cones and Pyramids

(area of base x height) / 3.

Volume of a Sphere

(Pi x diameter^3) / 6.

Volume of irregular shaped tanks e.g. ponds

2/3 (surface area x average depth)

Volume of Hose or Pipeline

diameter / 1000 to work out diameter in mm.

800 x d^2 x h.