Question

What is the maximum volume of a square pyramid that can fit inside a cube with edges 18 cm long?

A.
5832 cm3

B.
2916 cm3

C.
1944 cm3

D.
972 cm3

Answer 1

Given that the pyramid fits perfectly in cube, then the dimensions of the pyramid will be:
height=18 cm
base length =18 cm
thus;
volume=(lwh)/3
l=base length
w=base width
h=height
thus
V=(18×18×18)/3
V=1944 cm³

Answer: C] 1944 cm³