Use the formula
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( a + b )^3 = a cube + 3 • a square• b + 3 a • b square + b cube
( a - b )^3 = a cube - 3 a square • b + 3 a • b square - b cube
a^3 + b^3 = ( a + b ) ( a square - ab + b square )
a^3 - b^3 = ( a - b ) ( a square + ab + b square )
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Euler's formula =Face +Vertax-Edge=2For example :-Let
➠F=6 V=8 E=12
A cubic equation is an equation which can be represented in the form a x 3 + b x 2 + c x + d = 0 ax^3+bx^2+cx+d=0 ax3+bx2+cx+d=0, where a , b , c , d a,b,c,d a,b,c,d are complex numbers and a is non-zero.
"VOLUMETRIC EXPANSION " or "CUBICAL EXPANSION". Consider a metallic body of volume = V1 . Let it's temperature is raised by T. then experimentally "Increase in volume ( V) is directly proportional to its initial volume (V1) and rise in temperature ( T).
Recall the Euler's formula, F + V = E + 2 Here number of faces, F = 5 Number of vertices, V = 6 Number of edges, E = 9 Consider, F+V = 5 + 6 = 11 E + 2 = 9 + 2 = 11Hence F + V = E + 2 Thus Euler's formula is verified.
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SC - simple cubic
BCC - Body - centered Cubic
FCC - Face - centered Cubic
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