Question

Given a cube with a volume of 18 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?

Answer 1

To find the volume of the pyramid, divide the volume of the cube by 3. So that would be 18/3. The answer would be 6cm. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help. 

Answer 2

If volume of cube           =  18 cm³
then each side of cube  =   ∛18cm³
                                      ≈  2.6207

Volume of squared pyramid  =  $\frac{l ^{2} h }{3}$
    since the pyramid fits perfectly in the cube then that means that
    there lengths and height are equal thus l² h =  18 cm³

∴   volume of pyramid  =  18 cm³  ÷  3
                                     =  6 cm

Thus B