Question

What is the shape of your geometry box?

Answer 1

Hint: A geometry box is a three-dimensional object. There are 8 vertices, 12 edges and 6 faces in a cube/cuboid. All surfaces of a geometry box are flat and rectangular in shape. A match box, a brick or a treasure trunk, all have the same shape.

Complete step by step answer:
A cuboid is also called a rectangular box.
A cuboid is a three-dimensional solid whose all faces are rectangles. There are six rectangular faces in a cuboid and every pair of opposite faces is identical.
A cuboid looks like this:

Since a geometry box has a length, a width and a height and all its faces are rectangles, it has the shape of a cuboid.

Note: There are two main types of solids:
1. Polyhedron: It must have flat faces. e.g. Parallelepiped (Cube/Cuboid), Tetrahedron etc.
2. Non-Polyhedron: Some face(s) may be curved. e.g. Cone, Cylinder, Sphere etc.
Euler's Formula: For a polyhedron: $F+V-E=2$ , where F is the number of faces, V is the number of vertices and E is the number of edges.
The name "Box Product of three vectors" (used to calculate the volume of a parallelepiped) comes from the box-like shape of the parallelepiped.