Introduction
 A prism is a threedimensional solid (polyhedron) with a pair of identical and parallel faces at opposite ends (called bases of the prism).
 A prism is named after its base.
 There are different prisms named based on the shape of their bases. Here are some examples:
 The height $\left(h\right)$ of a prism is the perpendicular distance between the two bases.
Volume of a Triangular Prism
 A prism's volume with the area of the base $\left(B\right)$ and height $\left(h\right)$ can be calculated using the formula mentioned below.
$Volume=B\times h$
 For a triangular prism with a base having altitude $\left(a\right)$, length of the base $\left(b\right)$, and height $\left(h\right)$:
 For a triangular prism with a base having equal sides $\left(s\right)$:
Surface Area of a Triangular Prism
 A triangular prism has 2 triangular bases and 3 lateral faces (parallelogram).
 The lateral area of a triangular prism: $LA=p\times h$, where $p=$the perimeter of the base
 The total area of a triangular prism: $TA=LA+2B$$=p\times h+2B$
Volume of a Rectangular/Square Prism
 A prism's volume with the area of the base $\left(B\right)$ and height $\left(h\right)$ can be calculated using the formula mentioned below.
$Volume=B\times h$
 For a rectangular prism (cuboid) with a base having length $\left(l\right)$, width $\left(w\right)$, and height $\left(h\right)$:
 For a square prism (cuboid) with a base having equal sides $\left(s\right)$:
Surface Area of a Rectangular/Square Prism
 A rectangular prism has 2 rectangular bases and 4 lateral faces (parallelogram).
 A square prism has 2 square bases and 4 lateral faces (parallelogram).
 The lateral area of a rectangular/square prism: $LA=p\times h$, where $p=$the perimeter of the base
 The total area of a rectangular/square prism: $TA=LA+2B$$=p\times h+2B$
Solved Examples
Question 1: Find the volume of the following triangular prism.
Solution: $Volum{e}_{prism}=B\times h$
$=\frac{1}{2}\times b\times a\times h$
$=\frac{1}{2}\times 5\times 7\times 12$
$=5\times 7\times 6$
$=210c{m}^{3}$
Question 2: Find the total surface area of the rectangular prism shown below.
Solution: $T{A}_{prism}=p\times h+2B$
$=2\left(6+4\right)\times 20+2\left(6\times 4\right)$
$=20\times 20+2\times 10$
$=400+20$
$=420i{n}^{2}$
Cheat Sheet
 For any prism with the area of base $\left(B\right)$, height $\left(h\right)$, and perimeter of base $\left(p\right)$:

 Volume, $Volum{e}_{prism}=B\times h$
 Lateral Surface Area, $L{A}_{prism}=p\times h$
 Total Surface Area, $T{A}_{prism}=L{A}_{prism}+2B$$=p\times h+2B$
Blunder Areas
 In finding the volume or surface area of a triangular prism, students need to differentiate between the triangle's height (altitude) and the prism's height.
 A prism can have triangle, square, rectangular, pentagonal, and other polygon shapes as the base but not curved ones such as a circle.
 Fiona Wong
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