1. ## Parallelepiped

A parallelepiped has a square base area of 90 and volume 660. Find the total area of the parallelepiped, the face diagonal and the diagonal of the parallelepiped.

Hmm, is that a cube? If not, what? how do i solve? Thanks

Hello reiward
Originally Posted by reiward

A parallelepiped has a square base area of 90 and volume 660. Find the total area of the parallelepiped, the face diagonal and the diagonal of the parallelepiped.

Hmm, is that a cube? If not, what? how do i solve? Thanks
It certainly won't be a cube (where all the faces are squares), but it might be a cuboid (where some faces are rectangles). But unless you're told this, there's no way that you can calculate the area of the faces. So we need more information, I'm afraid.

If it's a cuboid, then the vertical faces are all rectangles with height $\frac{660}{90}= 7.333$ (3 d.p.) Can you take it from there?