The base of the pyramid is a square with a side length of 2√3, and the height of the pyramid is 3cm, with its apex contained at the center of one of the edges of the base. What is the radius of the sphere circumscribed around this pyramid?
What does that mean? It sounds as if the apex is in the plane of the base, which makes no sense. Is it perhaps meant to say that the apex is directly above the center of an edge??The base of the pyramid is a square with a side length of 2√3, and the height of the pyramid is 3cm, with its apex contained at the center of one of the edges of the base. What is the radius of the sphere circumscribed around this pyramid?
Yes the apex is directly above the center of one sides of the base, not within it. I've drawn a picture above.What does that mean? It sounds as if the apex is in the plane of the base, which makes no sense. Is it perhaps meant to say that the apex is directly above the center of an edge??
I figured that. And the picture is definitely helpful in clarifying when words are difficult!Yes the apex is directly above the center of one sides of the base, not within it. I've drawn a picture above.
I'm not a native english speaker so i translated the text, sorry for misunderstanding.
I've drawn the pyramid and it happens to be oblique. The center of the sphere is not on any meaningful location that would help me calculate the radius and I don't have any idea how to solve this. This is a problem from my highschool prep book and no formulas or hints were given to me. So yeah i have no idea how would I get the sphere radius here.