8th Class Mathematics Mensuration Surface Area and Volume of Cuboids

         Surface Area and Volume of Cuboids

A cuboid is a closed rectangular solid which has six rectangular faces.

Length of the cuboid = AB = CD = EF = GH. (Equal length)

Width of the cuboid = AD = BC = EH = FG. (Equal width)

Height of the cuboid = AE = BF = CG = DH.

Diagonal of the cuboid \[~=\text{A}{{\text{B}}^{\text{2}}}+\text{B}{{\text{C}}^{\text{2}}}+\text{B}{{\text{F}}^{\text{2}}}\]

Diagonal of a Cuboid \[=\sqrt{(Lengt{{h}^{2}}+Breadt{{h}^{2}}+Heigh{{t}^{2}})}\]

                                   \[=\sqrt{{{l}^{2}}+{{b}^{2}}+{{h}^{2}}}\]

Lateral surface area of cuboid \[=2h(l+b)\]

Total surface area of cuboid \[=2(lb+bh+hl)\]

Volume of the cuboid \[=l\times \text{b}\times \text{h}\]