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Triangular prism calculator
This calculator finds the missing value of a regular triangular prism given exactly two known dimensions. The 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.
working...
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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