Maths Formula Flashcards
Cube
Vol. - (side)³
TSA - 6 (side)²
Diagonal - √3( side)
Cylinder
Vol. - πr²h
CSA - 2πrh
TSA - 2πrh+ 2πr² = 2πr( h+ r )
Sphere
Volume - 4/3πr³
TSA - 4πr²
Cuboid
Vol. - l×b×h
TSA - 2(lb×bh×hl)
Diagonal - √ l²+b²+h²
Cone
Vol. - 1/3 πr²h
CSA - πrl
TSA - πrl + πr( L+r )
Semi sphere
Vol. - 2/3πr³
CSA - 2πr²
TSA - 3πr²
Triangle
Area of right angle triangle
1/2 base × height
Equilateral triangle
Area - √3/4 (side)²
Height - √3/2( side )
Perpendicular = a = 2/√3(p1+p2+p3)
Area of scalane triangle
√s(s-a)(s-b)(s-c) (half parameters)
Area - 1/2 ab sintheta
Sin30 = 1/2 sin45 = 1/√2 sin60= √3/2
Area of isosceles traingle
b/4 √4a²-b²
Rectangle
Area - L × W
Perimeter - 2(L + W)
Diagonal - √ L² + W²
Square
Area - a²
Perimeter - 4 (side)
Diagonal - √2(side)
Parallelogram
Area = base × height
Circle
Area = πr²
Circumference= 2πr
Area of radius = 1/2 lr
Redian = arc / radius
Semi circle
Area = 1/2 πr²
Circumference = r ( π + 2 )
Area of heaxagon
6×√3/4(side)²
Area of four wall room
2× height ( length × width )
Trapezoid
Area = 1/2×(a+b)+h
Equal quadrilateral
Area = 1/2×multiplication of diagonal
Cyclical quadrilateral
Area = √(s-a)(s-b)(s-c)
S= a+b+c+/2
Prizme
Vol = area of base × height
CSA = base of perimeter × height
TSA = 2×CSA + area of base
Pyramid
Vol. = 1/3 × base area × height
CSA = 1/2× perimeter base ×slant hgt.
TSA = CSA + base area
Frustum
Vol. = 1/2πh(R²+r²+Rr)
CSA = π ( R+r )s
(s = slant height )
TSA = CSA + πr² + πR²