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?

3cm

6cm

9cm

12cm

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 =
`(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