Six pyramids are shown inside of a cube. The height of the cube is h units.
Six identical square pyramids can fill the same volume as a cube with the same base. If the height of the cube is h units, what is true about the height of each pyramid?

Is the square root of 4 plus the square root of 16 rational?

Quadrilateral efgh was dilated with the origin as the center of dilation to create quadrilateral e'f'g'h'. the quadrilateral was dilated using a scale factor of 2.5. the lengths of the sides of quadrilateral efgh are given. what is the length of side f'g'?

Haquira is baking cookies to put in packages for a fundraiser. shaquira has made 8686 86 chocolate chip cookies and 4242 42 sugar cookies. shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies. what is the greatest number of identical packages that shaquira can make?