Given the the pyramid fits perfect in cube, then the size of the pyramid will certainly be:height=18 cmbase length =18 cmthus;volume=(lwh)/3l=base lengthw=base widthh=heightthusV=(18×18×18)/3V=1944 cm³ C> 1944 cm³

The exactly answer is C. 1944 cm³

Step-by-step explanation:

We are offered a cube.

You are watching: What is the maximum volume of a square pyramid that can fit inside a cube

Edge size of a cube = 18 cm

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

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

So, preferably volume the the square pyramid = Volume that the pyramid v side size of 18 cm

⇒ preferably volume the the square pyramid = 1944 cm³

Hence, The correct answer is C. 1944 cm³

We know that=(1/3)*b²*hb> is the length side that the cube> 18 cmh> is the height of the cube> 18 cm=(1/3)*18²*18> 1944 cm³the prize is1944 cm³

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