Mathematics

Question 1

Area of a triangle

Answer 1

(base x height) / 2

Question 2

Area of a rectangle/square

Answer 2

Base x height

Question 3

Area of irregular figures

Answer 3

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

Question 4

Area of circles

Answer 4

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

Question 5

Volume Definition

Answer 5

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

Question 6

Capacity Definition

Answer 6

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

Question 7

Volume of rectangular tanks

Answer 7

Width x Length x Height

Question 8

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

Answer 8

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

Question 9

Volume of Circular Tanks

Answer 9

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

Question 10

Volume of Cones and Pyramids

Answer 10

(area of base x height) / 3.

Question 11

Volume of a Sphere

Answer 11

(Pi x diameter^3) / 6.

Question 12

Volume of irregular shaped tanks e.g. ponds

Answer 12

2/3 (surface area x average depth)

Question 13

Volume of Hose or Pipeline

Answer 13

diameter / 1000 to work out diameter in mm.

800 x d^2 x h.