Describe at attributes of a three dimensional right rectangle prism
A three-dimensional right rectangular prism has the following attributes:
1. Six rectangular faces: It has six faces, and all of them are rectangles. The opposite faces are congruent and parallel to each other.
2. Eight vertices: It has eight corners where the edges of the prism meet. These vertices are the points where three or more faces intersect.
3. Twelve edges: It has twelve straight line segments that connect the vertices. These edges form the boundaries of the rectangular faces.
4. Right angles: All the angles formed where two faces meet are right angles (90 degrees). This means that the edges of the prism are perpendicular to the faces they meet.
5. Parallel bases: The top and bottom face of the prism are parallel to each other. Hence, the cross-sections formed by slicing the prism parallel to the bases are congruent rectangles.
6. Uniform cross-section: The cross-section of the prism, perpendicular to the bases, is always a rectangle, regardless of where it is sliced.
7. Lengths of the sides: The rectangular prism has three pairs of congruent sides. The sides of each pair are equal in length, but the lengths of the pairs themselves can be different.
8. Volume and surface area: The volume of a right rectangular prism can be calculated using the formula V = l × w × h, where l represents the length, w represents the width (of the base), and h represents the height. The surface area can be calculated using the formula SA = 2lw + 2lh + 2wh, where each term represents the area of one face.