Answer:
Option B. 6 cm³
Step-by-step explanation:
A cube is given with a volume of 18 cm³
Now we have to calculate the volume of a square pyramid that can fit inside the cube.
Since volume of a cube = (side)³
18 = (side)³ -----------(1)
Now we know volume of pyramid (square) = [tex]\frac{1}{3}(a)^{2}h[/tex]
Since pyramid is fit inside the cube so height of the pyramid will be equal to its side.
Volume = [tex]\frac{1}{3}[/tex] (side)³ ------------(2)
Now we put the value of (side)³ = 18
in equation number (2)
volume = [tex]\frac{1}{3}[/tex] (18)
= 6 cm³
Option B. 6 cm³ is the answer.