Prisma Triangular | CalcxApp

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Results

Volume

120.00

Total Surface Area

184.00

Base Area

12.00

Visual Comparison

Prisma Triangular | CalcxApp

PropertyValue
Volume120.0000
Lateral Surface Area160.0000
Total Surface Area184.0000
Base Area12.0000

About o Triangular Prism

What Is a Triangular Prism?

A triangular prism is a three-dimensional shape with two parallel triangular bases and three rectangular lateral faces. The triangular bases can be any type of triangle, and the prism extends uniformly between them. This shape is fundamental in geometry and appears in many structural applications.

Volume

The volume of a triangular prism is calculated by multiplying the area of the triangular base by the length (height) of the prism: V = Base Area x Length. The base area for a triangle is 0.5 x base x height, where the base and height refer to the dimensions of the triangular face, not the prism itself.

Surface Area

The total surface area includes both triangular bases and the three rectangular lateral faces. The lateral surface area equals the perimeter of the triangular base multiplied by the prism length. Understanding both types of surface area is essential for material estimation and cost calculations.

Applications

Triangular prisms are used in structural engineering (trusses, beams), optics (prisms for light dispersion), architecture (roof structures), and packaging. The shape provides excellent structural rigidity while minimizing material usage, making it popular in construction and manufacturing.

Practical Example

Prism with triangle base=6, height=4, length=10

Step 1: Base Area = 0.5 x 6 x 4 = 12 cm²

Step 2: Volume = 12 x 10 = 120 cm³

Step 3: Hypotenuse = sqrt(3² + 4²) = 5 cm, Perimeter = 6 + 2(5) = 16 cm

Step 4: Lateral SA = 16 x 10 = 160 cm²

Step 5: Total SA = 160 + 2(12) = 184 cm²

Perguntas Frequentes

Como é calculado o volume calculado?

Volume = base área x prism comprimento. O base área é calculado de o triangular face dimensions (0.5 x base x altura de triangle).

O que shapes são o lateral faces?

O três lateral faces são rectangles. Each rectangle tem um dimension equal para o prism comprimento e o other equal para um side de o triangular base.

Can o triangular base ser any type de triangle?

Yes, o base pode ser equilateral, isosceles, scalene, ou right-angled. O formulas trabalho para any triangular base shape.

Como é calculado lateral surface área calculado?

Lateral SA = perimeter de triangle x prism comprimento. This sums o areas de todos três rectangular side faces.

O que unidades deveria I use?

Use any consistent unidade para todos dimensions. Volume é em cubic unidades e surface área em square unidades de o mesmo system.

Disclaimer: Esta calculadora fornece estimativas para fins informativos e educacionais. Para decisões importantes, consulte um profissional qualificado.

References

  1. Wikipedia. "Triangular Prism." en.wikipedia.org
  2. Wolfram MathWorld. mathworld.wolfram.com

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