Question

*100 points* What is the maximum volume of a square pryamid that can fit inside a cube with a side length of 24 cm? A) 2,304 cm3 B) 4,608 cm C) 6,912cm3 D) 13,824 cm3s

Answer 1

Answer:

B) 4,608.

Step-by-step explanation:

A square pyramid with the maximum volume that can fit inside a cube has a same base as a cube ( 24 cm x 24 cm ) . The height of the pyramid is also same as a side length of a cube ( h = 24 cm ).

     The volume of the pyramid:

     V = 1/3 · 24² · 24 = 1/3 · 576 · 24 = 4,608 cm³

     Answer:

     The maximum volume of the pyramid is 4,608 cm³.