3D Mensuration

Cuboid:

Volume = l*b*h
TSA = 2(lb + bh + hl)
LSA = 2h(l+b)
Diagonal = sqrt(l^2 + b^2 + h^2)

Cube:

Volume = a^3
TSA = 6a^2
Diagonal = a*sqrt(3)

Cylinder:

Volume = pi*r^2*h
CSA = 2*pi*r*h
TSA = 2*pi*r(h+r)

Cone:

Volume = 1/3*pi*r^2*h
Slant height l = sqrt(r^2 + h^2)
CSA = pi*r*l
TSA = pi*r(l+r)

Sphere:

Volume = 4/3*pi*r^3
Surface area = 4*pi*r^2

Hemisphere:

Volume = 2/3*pi*r^3
CSA = 2*pi*r^2
TSA = 3*pi*r^2

Scaling:

Length ratio = a:b
Area ratio = a^2:b^2
Volume ratio = a^3:b^3

3D Mensuration​