Table of Contents
What is a Rectangular Pyramid?
A rectangular pyramid is a four-sided pyramid with a rectangular base. The four sides are all the same length, and the height is the length of the base times the slant height.
Definition, Types, and Examples
- In a sentence, a metaphor is a figure of speech that compares two things using the words “like” or “as.”
- Metaphors are often used in literature and poetry to create a vivid image in the reader’s mind. They can also be used in speeches and everyday conversation to make a point.
- There are two types of metaphors: extended and condensed.
- Extended metaphors are comparisons that are developed over several lines or even an entire poem.
- Condensed metaphors are comparisons that are made in a single sentence.
- Here are a few examples of metaphors:
“Life is a journey.”
“Love is a battlefield.”
“He was a lion in the courtroom.”
Types of Pyramids
There are three types of pyramids: square, triangular, and hexagonal.
- Square pyramids are shaped like squares, with four triangular sides that meet at a point. The base of the pyramid is a square.
- Triangular pyramids are shaped like triangles, with three triangular sides that meet at a point. The base of the pyramid is a triangle.
- Hexagonal pyramids are shaped like hexagons, with six triangular sides that meet at a point. The base of the pyramid is a hexagon.
Faces, Edges and Vertices
- A face is a two-dimensional surface that bounds a solid object.
- An edge is a one-dimensional line that connects two vertices.
- A vertex is a point where two or more edges meet.
Rectangular Pyramid Formula
The height of a rectangular pyramid is the length of the base times the height of the pyramid. The volume of a rectangular pyramid is the base times the height of the pyramid times the width of the base divided by 3.
Surface Area of a Rectangular Pyramid:
The surface area of a rectangular pyramid is calculated by multiplying the base area by the height.
A = B x h
Volume of a Rectangular Pyramid:
The volume of a rectangular pyramid is given by the formula:
\begin{align} V &= \frac{1}{3} BH\\ &= \frac{1}{3} (6 \cdot 8)\\ &= 24 \end{align}
The volume of the pyramid is 24 cubic units.
Lateral Area of a Rectangular Pyramid
The lateral area of a rectangular pyramid is the sum of the areas of all the faces other than the base.
A = B + C + D
where A is the lateral area, B is the area of the base, C is the area of the front face, and D is the area of the back face.
