Mathematics Flashcards

1
Q

Area of a triangle

A

(base x height) / 2

2
Q

Area of a rectangle/square

A

Base x height

3
Q

Area of irregular figures

A

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

4
Q

Area of circles

A

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

5
Q

Volume Definition

A

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

6
Q

Capacity Definition

A

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

7
Q

Volume of rectangular tanks

A

Width x Length x Height

8
Q

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

A

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

9
Q

Volume of Circular Tanks

A

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

10
Q

Volume of Cones and Pyramids

A

(area of base x height) / 3.

11
Q

Volume of a Sphere

A

(Pi x diameter^3) / 6.

12
Q

Volume of irregular shaped tanks e.g. ponds

A

2/3 (surface area x average depth)

13
Q

Volume of Hose or Pipeline

A

diameter / 1000 to work out diameter in mm.

800 x d^2 x h.