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.