Question

31. What is the maximum volume of a square pyramid that can pit inside a cube with a side length of 24cm?

A) 2,304cm^3
B) 4,608cm^3
C) 6,912cm^3
D) 13,824cm^3

Answer 1

The answer is B) 4,608cm^3

The volume of the square pyramid is:
V = a² * h / 3
a - the side length of the base
h - the height of the pyramid.

Since it is inside the cube, then a = h = 24 cm.

So:
V = 24² * 24 / 3 = 13,824 / 3 = 4,608 cm³