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IFE Unit 1: Fire Engineering Science > Mathematics > Flashcards

Flashcards in Mathematics Deck (13)
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1

Area of a triangle

(base x height) / 2

2

Area of a rectangle/square

Base x height

3

Area of irregular figures

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

4

Area of circles

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

5

Volume Definition

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

6

Capacity Definition

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

7

Volume of rectangular tanks

Width x Length x Height

8

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.

9

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

10

Volume of Cones and Pyramids

(area of base x height) / 3.

11

Volume of a Sphere

(Pi x diameter^3) / 6.

12

Volume of irregular shaped tanks e.g. ponds

2/3 (surface area x average depth)

13

Volume of Hose or Pipeline

diameter / 1000 to work out diameter in mm.

800 x d^2 x h.