Area and Volume of 2D & 3D Shapes

2D Shapes	Perimeter / Circumference	Area
Triangle	sum of sides	½ b×h b=base h=height √s(s-a)(s-b)(s-c) s=semiperimeter a,b,c=sides of triangle
Equilateral triangle	3×side	√3⁄4×(side)²
Square	4l 4×side	l² side×side
Rectangle	2(l+b)	l×b length×breadth
Rhombus	4l 4×side	½×d1×d2 ½×diagonal1×diagonal2
Parallelogram	2(l+b)	b×h base×height
Trapezium	a+b+c+d sum of all sides	½×(a+b)×h ½×(sum of parallel sides)×height
Circle	2πr	πr²
Semi-circle	πr	½πr²
Sector	2πrθ⁄360+2r	πr²θ⁄360
Segment	2πrθ⁄360+length of chord	Area of sector-area of triangle

3D Shapes	Lateral / curve surface area LSA / CSA	Area of top	Area of bottom	Total surface area TSA	Volume
Cube	4l²	l²	l²	6l²	l³
Cuboid	2(bh+lh)	lb	lb	2(lb+bh+lh)	l×b×h
Cylinder	2πrh	πr²	πr²	2πrh+2πr²	πr²h
Cone	πrl	–	πr²	πrl+πr²	⅓πr²h
Sphere	4πr²	–	–	4πr²	4⁄3 πr³
Hollow hemisphere	2πr²	–	–	2πr²	⅔2πr³
Solid hemisphere	2πr²	–	πr²	3πr²	⅔2πr³
Frustum of cone	π(r₁+r₂)l	πr₁²	πr₂²	π(r₁+r₂)l+πr₁²+πr₂²	⅓π(r₁²+r₁r₂+r₂²)h