Respuesta :

calculista
we know that
[volume of a square pyramid]=(1/3)*b²*h
b--------> is the length side of the cube-------> 18 cm
h-----> is the height of the cube-------> 18 cm

[volume of a square pyramid]=(1/3)*18²*18----> 1944 cm³

the answer is
1944 cm³

Answer:  

The correct answer is C. 1944 cm³

Step-by-step explanation:

We are given a cube.

Edge length of a cube = 18 cm

We need to find the maximum volume of a square pyramid that can fit inside the given cube of edge length 18 cm

⇒ Side length of pyramid = Edge length of cube = 18 cm

So, Maximum volume of the square pyramid = Volume of the pyramid with side length of 18 cm

[tex]\text{Maximum volume of the square pyramid = }\frac{1}{3}\times 18\times 18\times 18[/tex]

⇒ Maximum volume of the square pyramid = 1944 cm³

Hence, The correct answer is C. 1944 cm³