These are the following ways to calculate the area , where area for 2D shapes and Surface Area for 3D shapes
Circle
π × (r)^2
r = radius of the circle
Triangle
½ × b × h
b = base
h = height
Square
s^2
s = length of side
Rectangle
b × h
b = length
h = width
Parallelogram
b × h
b = base
h = vertical height
Trapezium
½(a + b) × h
a & b are length of parallel sides
h = height
Ellipse
π×a×b
a = ½ minor axis
b = ½ major axis
Solid Sphere
4 × π × r × r
r = radius
Hemisphere
3 × π× r × r
r = radius
Right Prism
((b × h)+(2 × l × s)+(l × b))
S= side
l = Length
b = base
Right Prism
Height: The height is a lateral edge.
Side faces: Side faces are rectangles.
Surface Area: ((b × h)+(2 × l × s)+(l × b))
Oblique Prism
Height: Height is an altitude outside the prism.
Side faces:
Sides faces are parallelograms.
Surface Area= ((b × h)+(2 × l × s)+(l × b))
:
Cylinder
4 x π x r + 2 x h
r = Radius of the circular base of the cylinder
h = Height of the cylinder