6 Square Pyramids and a Cube

thingiverse

I designed a 3-D model to make it easier for students to visualize the formula for the volume of a right rectangular pyramid: V=lwh/3 (Volume equals base area times height divided by three). To fill a cube, you need six identical pyramids that are twice as tall as the original pyramid. Since you would need half as many pyramids to fill half the space, you will need only three. The 3D printed models were designed with holes for assembling the pyramids into a cube after printing. You can create hinges or embed magnets to hold the pieces together. Understanding this concept lets you create more complex puzzles and models. This animation shows how it works: https://youtu.be/dj2D6nhhR2g?list=PL8hOMaxQfgvUSs1-2jXHE227ctxey2lmh