Mensuration — Formula Sheet

Cuboid: LSA = 2h(l + b), TSA = 2(lb + bh + hl), Volume = lbh

Cube: LSA = 4l^2, TSA = 6l^2, Volume = l^3

Cylinder: CSA = 2πrh, TSA = 2πr(r + h), Volume = πr^2h

Cone: l = √(h^2 + r^2), CSA = πrl, TSA = πr(r + l), Volume = (1/3)πr^2h

Sphere: Surface area = 4πr^2, Volume = (4/3)πr^3

Area of sector (A) = (θ/360) × πr^2

Length of an arc (l) = (θ/360) × 2πr

A = (1/2)lr = lr/2

A(segment PXQ) = (θ/360) × πr^2 - (1/2)r^2 sinθ = r^2[πθ/360 - sinθ/2]

For cone, slant height is found by l = √(h2 + r2).

The area of a sector is A = θ/360 × πr2, where θ is the central angle and r is the radius.

The length of an arc is l = θ/360 × 2πr.