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10 Maths - Measurement
Australian Curriculum Maths 10 + 10A Measurement Unit
31
Mathematics
10th Grade
05/28/2013
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Term
Area of a triangle
 Definition
1/2 x bh
b = base
h = height
Term
Area of a rectangle
 Definition
bh
b = base
h = height
Term
Area of a square
 Definition
L^2
L = length of a side
Term
Area of a paralellogram
 Definition
bh
b = base
h = height
Term
Area of a rhombus and kite
 Definition
1/2 x xy
x and y = lengths of the diagonals
Term
Area of a trapezium
 Definition
1/2 x h(a+b)
h = height
a and b = the lengths of the parallel sides
Term
Area of a circle
 Definition
πr^2
r = radius
Term
Area of a sector
 Definition
?/360 x πr^2
? = degree or size of the angle
r = radius
Term
Perimeter of a circle
 Definition
πd
d = diameter
Term
Surface area of any prism
 Definition
2A + Ph
A = area of the cross-section face
P = perimeter of the cross-section face
where h is the distance between the two cross-sectioned faces
Term
Area of the curved surface of a cone
 Definition
πrl
r = radius
l = slant height
Term
Area of a sphere
 Definition
4πr^2
r = radius
Term
Area of a semisphere
 Definition
3πr^2
r = radius
Term
Volume of a prism
 Definition
Ah
A = Area of base
h = vertical height
Term
Volume of a pyramid
 Definition
1/3 x Ah
A = Area of base
h = vertical height
Term
Volume of a cone
 Definition
1/3 x πr^2h
r = radius
h = vertical height
Term
Volume of a sphere
 Definition
4/3 x πr^3
r = radius
Term
Volume of a cylinder
 Definition
πr^2h
h = height
Term
Pythagoras' theorum
 Definition
a^2 + b^2 = c^2
Term
1 tonne = ? kg
 Definition
1 tonne = 1,000 kg
Term
1 litre = ? mL
 Definition
1 litre = 1,000 mL
Term
1 mL = ? cm^3
 Definition
1 mL = 1 cm^3
Term
1 ha = ? m^2
 Definition
1 ha = 10,000 m^2 (100m x 100m)
Term
1 cm^3 = ? mm^3
 Definition
1 cm^3 = 1,000 mm^3
Term
1 cm^2 = ? mm^2
 Definition
1 cm^2 = 100 mm^2
Term
1 m^2 = ? cm^2
 Definition
1 m^2 = 10,000 cm^2
Term
1 km^2 = ? m^2
 Definition
1 km^2 = 1,000,000 m^2
Term
1 km^2 = ? ha
 Definition
1 km^2 = 100 ha
Term
1 m^3 = ? cm^3
 Definition
1 m^3 = 1,000,000 cm^3
Term
1 m^3 = ? L
 Definition
1 m^3 = 1,000 L
Term
Volume of a cube
 Definition
l^3
l = length
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