sum of squares pyramids

3D Model

What do the first four perfect squares add up to? . . . . . Each pyramid has volume 1^2 + 2^2 + 3^2 + 4^2 . . . . . The six pyramids just fit into the rectangular box . . . . . The box has L x W x H dimensions 9 x 4 x 5 units . . . . . Can you find a formula and generalize to n squares?