# Pyramids vs. Prisms — What's the Difference?

Edited by Tayyaba Rehman — By Fiza Rafique — Published on November 25, 2023
Pyramids are 3D shapes with a polygonal base converging to an apex, while prisms have two parallel polygonal bases connected by rectangular or parallelogram sides. Both are polyhedrons.

## Key Differences

Pyramids are three-dimensional shapes that start with a polygonal base and taper off to a singular point known as the apex. In contrast, prisms are also three-dimensional figures, but they boast two parallel polygonal bases. The sides of prisms are either rectangles or parallelograms, ensuring that the two bases remain parallel.
Fiza Rafique
Nov 25, 2023
Each pyramid, regardless of its base's shape, eventually converges to one point: the apex. Prisms, meanwhile, maintain a uniform cross-section throughout their length, thanks to the parallel nature of their bases.
Fiza Rafique
Nov 25, 2023
The number of faces on pyramids is determined by the polygon that forms its base. For instance, a pyramid with a triangular base will have four faces in total. Prisms, on the other hand, have as many faces as there are sides to the base plus two for the bases themselves.
Fiza Rafique
Nov 25, 2023
One of the most notable examples of pyramids is the ancient Egyptian Pyramids, built as monumental structures. Prisms are more commonly seen in day-to-day life, especially in the form of rectangular prisms like boxes or books.
Fiza Rafique
Nov 25, 2023
The volume of both pyramids and prisms is contingent upon the area of their base. For pyramids, the volume is one-third the product of the base area and height, whereas for prisms, it's the direct product of base area and height.
Fiza Rafique
Nov 25, 2023

## Comparison Chart

### Shape

Tapers to a point (apex).
Maintains a consistent cross-section.
Fiza Rafique
Nov 25, 2023

### Bases

One polygonal base.
Two parallel polygonal bases.
Fiza Rafique
Nov 25, 2023

### Faces

Base + 1 (due to the apex).
Number of base sides + 2 (the bases).
Fiza Rafique
Nov 25, 2023

### Volume Formula

⅓ × base area × height.
Base area × height.
Fiza Rafique
Nov 25, 2023

### Common Examples

Egyptian Pyramids.
Boxes, books.
Fiza Rafique
Nov 25, 2023

## Compare with Definitions

#### Pyramids

3D shapes with a single polygonal base tapering to an apex.
The Great Pyramids of Giza are examples of square-based pyramids.
Fiza Rafique
Oct 13, 2023

#### Prisms

Volume is the direct product of the base area and height.
A cereal box, being a rectangular prism, has a volume found by multiplying its length, width, and height.
Fiza Rafique
Oct 13, 2023

#### Pyramids

Structures with faces sloping to a common point.
The food pyramid visualizes nutritional needs.
Fiza Rafique
Oct 13, 2023

#### Prisms

Polyhedrons with faces that are parallelograms.
Prisms are commonly seen in optical instruments.
Fiza Rafique
Oct 13, 2023

#### Pyramids

Can have triangular, square, or other polygonal bases.
The Louvre Museum has a glass pyramid with a square base.
Fiza Rafique
Oct 13, 2023

#### Prisms

Maintains a consistent cross-sectional shape along its length.
When sliced perpendicular to its bases, prisms produce slices that match the base shape.
Fiza Rafique
Oct 13, 2023

#### Pyramids

A monumental edifice with a square or triangular base.
The Mayans also built pyramids, but with steeper sides.
Fiza Rafique
Oct 13, 2023

#### Prisms

3D shapes with two parallel, congruent polygonal bases.
Glass prisms can split white light into a spectrum of colors.
Fiza Rafique
Oct 13, 2023

#### Pyramids

Volume is one-third of the product of base area and height.
Calculating the volume of pyramids requires knowledge of the base area.
Fiza Rafique
Oct 13, 2023

#### Prisms

Used in optics to refract light.
Prisms in binoculars can invert and reverse images.
Fiza Rafique
Oct 13, 2023

#### Pyramids

A solid figure with a polygonal base and triangular faces that meet at a common point.
Fiza Rafique
Oct 12, 2023

#### Prisms

A solid figure whose bases or ends have the same size and shape and are parallel to one another, and each of whose sides is a parallelogram.
Fiza Rafique
Oct 12, 2023

#### Pyramids

Something shaped like this polyhedron.
Fiza Rafique
Oct 12, 2023

#### Prisms

A transparent body of this form, often of glass and usually with triangular ends, used for separating white light passed through it into a spectrum or for reflecting beams of light.
Fiza Rafique
Oct 12, 2023

#### Pyramids

A massive monument of ancient Egypt having a rectangular base and four triangular faces culminating in a single apex, built over or around a crypt or tomb.
Fiza Rafique
Oct 12, 2023

#### Prisms

A cut-glass object, such as a pendant of a chandelier.
Fiza Rafique
Oct 12, 2023

#### Pyramids

Any of various similar constructions, especially a four-sided Mesoamerican temple having stepped sides and a flat top surmounted by chambers.
Fiza Rafique
Oct 12, 2023

#### Prisms

A crystal form consisting of three or more similar faces parallel to a single axis.
Fiza Rafique
Oct 12, 2023

#### Pyramids

The transactions involved in pyramiding stock.
Fiza Rafique
Oct 12, 2023

#### Prisms

A medium that misrepresents whatever is seen through it.
Fiza Rafique
Oct 12, 2023

#### Pyramids

(Anatomy) A structure or part suggestive of a pyramid in shape.
Fiza Rafique
Oct 12, 2023

Plural of prism
Fiza Rafique
Oct 12, 2023

#### Pyramids

To place or build in the shape of a pyramid.
Fiza Rafique
Oct 12, 2023

#### Pyramids

To build (an argument or thesis, for example) progressively from a basic general premise.
Fiza Rafique
Oct 12, 2023

#### Pyramids

To speculate in (stock) by making a series of buying and selling transactions in which paper profits are used as margin for buying more stock.
Fiza Rafique
Oct 12, 2023

#### Pyramids

To assume the shape of a pyramid.
Fiza Rafique
Oct 12, 2023

#### Pyramids

To increase rapidly and on a widening base.
Fiza Rafique
Oct 12, 2023

#### Pyramids

To pyramid stocks.
Fiza Rafique
Oct 12, 2023

#### Pyramids

Plural of pyramid
Fiza Rafique
Oct 12, 2023

#### Pyramids

The game of pyramid pool.
Fiza Rafique
Oct 12, 2023

Infl of pyramid
Fiza Rafique
Oct 12, 2023

## Common Curiosities

#### Can pyramids have bases other than triangles?

Yes, pyramids can have square, pentagonal, or other polygonal bases.
Fiza Rafique
Nov 25, 2023

#### Are the Egyptian pyramids the only examples of pyramids?

No, pyramids exist in various cultures, like Mayan pyramids. The term also refers to the geometric shape, not just monumental structures.
Fiza Rafique
Nov 25, 2023

#### How many faces does a rectangular prism have?

It has six faces: four rectangles and two squares or rectangles, depending on the prism.
Fiza Rafique
Nov 25, 2023

#### Are all the sides of a prism always rectangles?

No, prisms can have sides that are parallelograms, especially if the bases are not rectangles.
Fiza Rafique
Nov 25, 2023

#### Are prisms used in everyday life?

Yes, prisms are seen in optics, like binoculars, and everyday shapes like boxes.
Fiza Rafique
Nov 25, 2023

#### Can a pyramid's base be a circle?

No, that would be a cone. Pyramids have polygonal bases.
Fiza Rafique
Nov 25, 2023

#### Can a pyramid's apex be off-center?

Yes, in an oblique pyramid, the apex isn't directly above the base's center.
Fiza Rafique
Nov 25, 2023

#### How many faces does a triangular pyramid have?

It has four faces: three triangular sides and a triangular base.
Fiza Rafique
Nov 25, 2023

#### What's the fundamental shape difference between pyramids and prisms?

Pyramids taper to a singular point, the apex, while prisms have two parallel bases with a consistent cross-section.
Fiza Rafique
Nov 25, 2023

#### How is the volume of pyramids and prisms calculated?

For pyramids, it's ⅓ × base area × height; for prisms, it's base area × height.
Fiza Rafique
Nov 25, 2023

#### Is a cube a type of prism?

Yes, a cube is a special type of rectangular prism where all sides are equal.
Fiza Rafique
Nov 25, 2023

#### Can prisms have bases other than rectangles or squares?

Yes, prisms can have triangular, pentagonal, or other polygonal bases.
Fiza Rafique
Nov 25, 2023

#### Why do pyramids and prisms belong to the polyhedron family?

Both have flat, polygonal faces and straight edges, defining characteristics of polyhedrons.
Fiza Rafique
Nov 25, 2023

#### What's the main purpose of optical prisms?

Optical prisms can refract, reflect, and disperse light, often used in instruments to manipulate light paths.
Fiza Rafique
Nov 25, 2023

#### What's the cross-section of a prism?

When cut perpendicular to its bases, the cross-section of a prism matches its base shape.
Fiza Rafique
Nov 25, 2023

Share via Social Media
Embed This Content
Embed Code
Share Directly via Messenger