This is a draft cheat sheet. It is a work in progress and is not finished yet.
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Laws of Indices and Surds
Area
Trapezoid |
A + (b1 + b2 ÷ 2)*h |
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Volume
Cube |
V = s3 |
Cuboid |
V = lwh |
Prism |
V = Bh |
Cylinder |
V = πr2h |
Hollow Cylinder |
V = πR2h-πr2h |
Cone |
V = 1/3*πr2h |
Pyramid |
V = 1/3*Bh |
Sphere |
V = 4/3*πr3 |
Hemisphere |
V = 2/3*πr3 |
Surface Area
Cube |
TSA = 6s2 |
Cuboid |
TSA = 2(lw + lh + wh) |
Prism |
TSA = 2B + ph |
Cylinder |
TSA = 2π2 + 2πrh |
Hollow Cylinder |
TSA = 2πrh + 2πRh + 2(πR2 - πr2) |
Cone |
TSA = πr2 + πrs |
Regular Pyramid |
TSA = area of base + 1/2*ps |
Square Pyramid |
TSA = b2 = 2bs |
Sphere |
TSA = 4πr2 |
Hemisphere |
TSA = 3πr2 |
B = area of base
p = perimeter of base
h = height
R = radius of the outer surface
r = radius of the inner surface
s = slant height
b = length of the base
Chapter 4 Summary
The gradient of a horizontal line (y = ...) has a gradient of zero. |
The gradient of a vertical line (x = ...) has an undefined gradient. |
Perpendicular lines are at right angles. Their gradients m1 and m2 are such that m1m2 = -1, i.e. m2 = -1 ÷ m1 |
y = mx passes through the origin, substitute x = 1 to find another point.
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