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# Triangular prism calculator

Enter any two variables of a triangular prism and select a variable to find. The calculator gives a step-by-step solution on how to find the missing variable of a prism.

Triangular Prism Calculator
input two variables of a triangular prism and select a variable to find
show help ↓↓ examples ↓↓
I want to find:
Input known variables into TWO text boxes
calculator works with decimals, fractions and square roots (to input $\color{blue}{\sqrt{2}}$ type $\color{blue}{\text{r2}}$)
side
$a$ =

length
$l$ =
base height
$h$ =

volume
$V$ =
total area
$A$ =

base area
$B$ =
lateral area
$A_L$ =

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Triangular prism formulas
 $$V = \frac{a^2 \, l \, \sqrt{3}}{4}$$ volume
 $$B = \frac{a^2 \, \sqrt{3}}{4}$$ base area
 $$A_L = 3 \, a \, l$$ lateral area
 $$A = 2B + AL$$ total area
 $$A = \frac{a^2 \, \sqrt{3} + 6al}{2}$$ total area
Examples
example 1:ex 1:
Find the total area of a regular triangular prism with a side of 8cm and a length of 10cm.
example 2:ex 2:
Find the volume of a regular triangular prism with a base area of 12cm2 and a lateral area of 18cm2.
example 3:ex 3:
Find the side of a regular triangular prism if the volume is $12 \sqrt{3}$ and length of 4cm.
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