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2D Areas & Perimeters
3D Surface Areas & Volumes
Pythagoras' Theorem
2 DIMENSIONAL SHAPES
Shape
Name
Area
Perimeter
Square
a
2
4 x a
Rectangle
a x b
2 x a + 2 x b
Triangle
� x h x b
2 x p + b
Circle
πr
2
π x d
Parallelogram
h x b
2b + 2p
Trapezium
� x h (x + y)
x + y + 2p
Ellipse
�
(a x b)
.
Rhombus
χ x y
.
3 DIMENSIONAL SHAPES
Shape
Name
Surface Area
Volume
Cube
6 x a
2
a
3
Rectangular Prism
2 x a x b
+
2 x b x c
+
2 x a x c
a x b x c
Cylinder
2πr
2
+
2πrh
πr
2
h
Triangular Prism
A x c
2A +
2(c x p) +
(b x c)
Pyramid
4A + (b x c)
assuming the base
is a square
1/3 x A x h
Cone
πrp
+
πr
2
1/3 x πr
2
h
Sphere
4πr
2
4/3 x πr
3
NB:
A = area of triangular face
p = pythagoras' hypotenuse calculated according to the theory below.
π
= 3.14 (rounded to 2 decimals)
Pythagoras' Theorem
p
2
= h
2
+ b
2
p =
�
(h
2
+ b
2
)
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