Study Set Content:
Rectangular Solid (Cuboid)
V = l × w × h
l = Length
w = Width
h = Height
Cube
V = a^3
a = Length of edge or side
Cylinder
V = π× r× r × h
r = Radius of the circular base
h = Height
Prism
V =0.5 × b ×h × l
b= base
l = length
h = height
Fun Fact
- The prisms are polyhedrons or objects with multiple flat faces. A prism can not have any side which is curved thus objects like cylinders, cones or spheres are not prisms.
Sphere
V = (4⁄3) ×π × (r ^3 )
r = Radius of the sphere
Pyramid
V = (1⁄3) × (l × w ) × h
l and w = Sides of base
h = Height of the pyramid
Right Circular Cone
(1⁄3) × π × (r^2) × h
r = Radius of the circular base
h = Height
Rectangular Pyramid
V = (1⁄3) × l × w × h
l = Length of the base
w = Width of base,
h = Height (base to tip)
Square Pyramid
V = (1⁄3) × l × w × h
l = Length of the base
w = Width of base,
h = Height (base to apex)
Ellipsoid
V = (4⁄3) × π × a × b × c
a, b, c = semi-axes of an ellipsoid
Tetrahedron
V = (a^3) ⁄ (6 √2)
a = Length of the edge
Spherical Cap
(π/3) x (H^2) x (3R−H)
H = height
S = sphere radius
A = base radius
R = sphere radius
Frustum
(π x h) / (3 (R^2)+(r^2)+Rr))
‘R’ and ‘r’ = are radius of base and top of frustum
h = Height
Hemisphere
(⅔ ) x (π x (r^3))
r = the radius
