Which best defines the relationship between speed and velocity?
A. Speed is velocity with displacement.
B. Velocity is speed with displacement.
C. Speed is based on a specific direction.
D. Velocity is based on distance.
Answer (2)
When considering the geometry of a cube, it's important to distinguish between the different types of angles involved. A cube has edges, vertices (or corners), and faces. Each face of a cube is a square, which by definition includes four right angles (each 90°). Since a cube has six faces, you might initially assume it has 6 * 4 = 24 angles. However, each corner, or vertex, of a cube is the meeting point of three right angles, as it's where three faces meet. As there are eight vertices in a cube, it has a total of 8 * 3 = 24 angles as well. These angles formed at the vertices are called solid angles and are in three-dimensional space.
In addition to looking at a cube in terms of angles and edges, other geometric properties, such as rotational symmetries , are also of interest. For example, a cube possesses four three-fold rotational axes (C3 axes) along its body diagonals and three four-fold rotational axes (C4 axes) along its faces. These properties explain how a cube can be rotated around different axes without changing its appearance.
Understanding the structure of a cube can also help in comprehending other complex figures like an octahedron , an icosahedron, and a hypercube.
A cube has a total of 12 edges. Each edge connects two vertices, and since there are 12 unique connections among the vertices, that number defines the edges. Understanding these basic properties of the cube can also be helpful for analyzing more complex geometric shapes.
;
