Cuboid :
Given is the cuboid of length l, breadth b, and height h.
T.S.A. = 2(lb + bh + lh)
Volume = lbh
Diagonal =
Important: If area of faces of cuboid are x,y and z
Then, the volume of a cuboid
Cube
Let the side of the given cube is 'a'.
T.S.A. = 6a2
Volume = a3
Diagonal of cube =
Sphere
let the radius of the given sphere is 'r' and in the case of sphere total surface area is equal to the curved surface area.
C.S.A. = T.S.A. =
Volume =
Hemi-Sphere
Assume r is the radius of given hemisphere.
Quarter-Sphere
Let 'r' is the radius of the given diagram. You have to imagine this diagram, this is 1/4th part of Sphere.
Cylinder
Hollow-Cylinder
r1 = outer radius
r2 = inner radius
Frustum
Cone
r = radius
h = height of cone
l = slant height
# Important relation between radius, height and slant height of similar cone.
Important:
1. From a solid cylinder no. of the maximum solid cone of same height and radius as cylinder are 3.
2. From a solid sphere, no. of a maximum solid cone having height and radius equal can be made are 4.
3. From a solid hemisphere, no. of a maximum solid cone having height and radius equal can be made are 2.
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