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Prisms and Pyramids Explorer

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Prisms and Pyramids Explorer

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About this activity

Identify prisms and pyramids and learn basics.

Created by

MARICEL VASQUEZ
MARICEL VASQUEZ
Philippines

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Prisms and Pyramids Explorer
 

Prisms and Pyramids ExplorerOnline version

Identify prisms and pyramids and learn basics.

by MARICEL VASQUEZ
1

What is a Prism?

A prism is a 3D shape with two parallel, congruent bases and rectangular side faces that connect corresponding vertices.

2

What is a Pyramid?

A pyramid has a polygonal base and triangular faces that meet at a single apex above the base.

3

Prism Properties

Prisms have two bases, rectangular side faces, and a consistent cross-section along their height.

4

Pyramid Properties

Pyramids feature triangular faces that converge at an apex, with a base that can be any polygon.

5

Base, Height, and Volume (Prism)

The volume of a prism is V = base area × height. The base area is the area of the polygon base.

6

Base, Height, and Volume (Pyramid)

A pyramid's volume is V = (1/3) × base area × height. Height is the perpendicular distance from base to apex.

7

Surface Area (Prism)

Surface area combines base areas and lateral faces areas to cover the entire exterior.

8

Surface Area (Pyramid)

For a pyramid, surface area = base area + sum of triangular face areas.

9

Examples: Prism vs Pyramid

Triangular prism vs square pyramid illustrate the different base shapes and side faces, yet share core volume formulas.

10

Visual Distinction

Prisms keep parallel bases with rectangular sides; pyramids taper to a single apex from a base.
 
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