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

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.

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vintechnology vintechnology · Answer 2 · 2022-05-11T10:41:20+02:00

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.

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