Question

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

Answer 1

       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. 

Answer 2

The maximum volume of a square pyramid that can fit inside a cube with a side length of 24 cm is 13824 cm³.

Volume of a cube

volume of a cube = l³

where

• l = length

Therefore,

length = l = 24 cm

volume of the cube = 24 × 24 × 24

volume of the cube =  24³

volume of the cube = 13824 cm³

Therefore, the maximum volume of a square pyramid that can fit inside a cube with a side length of 24 cm is 13824 cm³.

learn more on volume here: https://brainly.com/question/3769347

#SPJ5