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Triangular prism calculator

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The triangular prism calculator finds the length, side, base height, volume, surface area and lateral area of a prism. Also, the calculator writes a step-by-step explanation on how the problem was solved.

Triangular prism calculator
Input any two elements of a triangular prism and select a variable to find.
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Solve for
triangular prism
Input two elements of a prism.
a =
 
l =
h =
 
V =
A =
 
B =
AL =
 
 
 
 
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Triangular prism formulas
Triangular prism illustration showing sides, height and area.
$$ V = \frac{a^2 \, l \, \sqrt{3}}{4} $$
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
ex 1:
Find the total area of a regular triangular prism with a side of 8cm and a length of 10cm.
ex 2:
Find the volume of a regular triangular prism with a base area of 12cm2 and a lateral area of 18cm2.
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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