## Rhombus

### A rhombus is a quadrilateral (a polygon with four sides) that has the following properties:

1

A rhombus is a quadrilateral (a polygon with four sides) that has the following properties:

1. All four sides of a rhombus are equal in length: This means that the opposite sides of a rhombus are parallel.

2. The opposite angles of a rhombus are equal: This means that the angles formed by the intersection of the adjacent sides are congruent.

3. The diagonals of a rhombus bisect each other at right angles: This means that the diagonals (segments connecting opposite vertices) intersect at a 90-degree angle, dividing each other into two equal parts.

The formula to find the area of a rhombus is given by A = (d₁ × d₂)/2, where d₁ and d₂ are the lengths of the diagonals. This formula can be derived by splitting the rhombus into four congruent right triangles, where the diagonals form the hypotenuse of the triangles.

For example, if a rhombus has diagonals measuring 6 units and 8 units, the area of the rhombus can be found as follows:

A = (6 × 8)/2

A = 48/2

A = 24 square units

Rectangular Prism

A rectangular prism is a three-dimensional geometric shape that has six faces, all of which are rectangular in shape. It is also known as a rectangular cuboid or simply a box-like shape. A rectangular prism has the following properties:

1. Faces: A rectangular prism has six faces, where each face is a rectangle. The opposite faces are congruent and parallel to each other.

2. Edges: A rectangular prism has 12 edges, where each edge connects the vertices (corners) of two adjacent faces.

3. Vertices: A rectangular prism has eight vertices or corners, where three edges meet.

The volume of a rectangular prism can be calculated using the formula V = l × w × h, where l is the length, w is the width, and h is the height of the prism. The volume represents the amount of space enclosed by the prism.

For example, if a rectangular prism has a length of 4 units, a width of 3 units, and a height of 5 units, the volume can be found as follows:

V = 4 × 3 × 5

V = 60 cubic units

I hope this explanation helps! If you have any further questions or need clarification, please feel free to ask.

##### More Answers:

The Properties of Parallelograms | Understanding the Concept and Applications in MathematicsProperties and Examples of Regular Polygons | Understanding the Concept in Geometry, Architecture, and Engineering

Understanding the Properties and Formulas of Squares in Mathematics