Volume and Surface Area Questions Answers Formulas, Tips and Tricks
1. Formula of Cuboid Volume, Surface Area and Daigonal
Let l be length, b be breadth and height = h units then,
Volume of Cuboid =(l∗b∗h)cubic unitsSurface Area=2(lb+bh+hl)sq. unitsDiagonal =√l2+b2+h2units2. Formula of Cube Volume, Surface Area and Diagonal
Let each edge of a cube be of length a, then
Volume of cube =a3Surface Area of cube =6a2sq.unitsDiagonal of cube =√3aunits3. Cylinder Volume, Curved Surface Area, Total Surface Area Formula
Volume of cylinder =(πr2h)cubic unitsCurved surface area of cylinder =(2πrh)sq. unitsTotal surface area of cylinder =(2πrh+2πr2)sq. units=2πr(h+r)sq. units
4. Cone Slant Height, Volume, Curved Surface Area, Total Surface Area Formula
Let Radius of base = r and height = h. Then,
Slant Height of cone, l = √r2+h2unitsVolume of cone = (13πr2h)cubic unitsCurved surface area of cone = (πrl)sq. unitsTotal surface area of cone = (πrl+πr2)sq. units5. Sphere Volume and Surface Area Formula
Let the radius of the sphere be r, then,
Volume=(43πr3)cubic unitsSurfaceArea=(4πr2)sq. units6. Hemisphere Volume, Curved Surface Area and Total Surface Area Formula
Let the radius of a hemisphere be r, Then,
Volume of Hemisphere =(23πr3)cubic unitsCurved Surface area of Hemisphere =(2πr2)sq. unitsTotal Surface area of Hemisphere =(3πr2)sq. unitsPlease remember 1 litre = 1000cm3