DOMS GEOFLIP Mathematical Instrument Geometry Box

A box in geometry typically refers to a rectangular prism. This is a three-dimensional shape with six faces, all of which are rectangles. Here are some key properties and concepts related to a box:

1. Faces: A box has six faces, each of which is a rectangle.
2. Edges: It has 12 edges where the faces meet.
3. Vertices: A box has 8 vertices (corners).
4. Dimensions: The dimensions of a box are usually described by its length (l), width (w), and height (h).
5. Volume: The volume $V$ of a box can be calculated using the formula:

   $$V=l\times w\times h$$

6. Surface Area: The surface area $A$ of a box is the sum of the areas of all six faces:

   $$A=2(lw+lh+wh)$$

7. Diagonals: The length of the diagonal $d$ of a box (from one vertex to the opposite vertex) can be found using:

   d=l2+w2+h2d = \sqrt{l^2 + w^2 + h^2}d=l2+w2+h2​