What is the maximum volume of a pyramid that can fit inside a cube that has side 18 cm long?

a) 5832 cm3
b) 2916 cm3
c) 1944 cm3
d) 972 cm3

Formula for Volume of cube= 1/3 x area of base x height
as base and height are the same:
So,
Base = 18 cm
Height = 18 cm
Area of base = Base^2
Area of base = 18^2
Area of base = 324 cm
Putting all the values into the formula:
1/3 x 324 x 18 
=6 x 324 
= 1944 cm^3
So according to above explanation
C) 1944 cm3, is the correct answer.

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