Question

Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?

3cm

6cm

9cm

12cm

Answer 1

ok so it has to have same base to have largest pyramid

remember
the volume of a pyramidal prism is 1/3 the volume of a rectangular prism of same base and height

so if rectangular prism (cube) volume is 27, then 1/3 of 27=9

answer isi 9cm^3 (volume is cubic)

Answer 2

So we are asked to find the volume of the largest square prism that can fit inside a cube of given dimensions. One thing we have to remember that if given the volume of the cube we can easily get its dimensions.

Next, we have to know that the volume of the pyramid is 1/3 of that of a rectangular prism. With this you should get 9.