formula for volume of triangular prism without height

Formula for volume of triangular prism without height how to#

Now the surface area and volume appear immediately: Once these figures are entered, you will see the prism volume is 122,723 cu in, while the prism surface area is 18,027 in².Three measurements of a prism need to be known before the volume can be calculated using the equation above: the prism length, height, and base. Input base sides: The tent has a = 50 in, b = 60 in, and c = 60 in.Ĥ. For this example, we have given three sides.ģ. Choose the parameters: This is based on how many sides given and their configuration, or if it’s a base and length calculation. For this example, we’ll say it’s 90 in.Ģ. Using the calculator to find a triangular prism’s volume Now we’ve went over the formulas, let’s look at an example of using the triangular prism calculator to work out a tent’s volume and surface area.ġ. Every other option, however, can be solved with the triangular prism calculator. This is when you are given a triangle base and its height. Sadly, there is one occurrence where you’re unable to calculate the triangular prism volume. When a side is between two angles (ASA): The two missing sides can be found via law of sines: area = (length * (a + a * (sin(angle1) / sin(angle1+angle2)) + a * (sin(angle2) / sin(angle1+angle2)))) + a * ((a * sin(angle1)) / sin(angle1 + angle2)) * sin(angle2).With two sides and an angle in between (SAS): We can reveal the third side thanks to utilizing law of cosines: area = length * (a + b + √( b² + a² - (2 * b * a * cos(angle)))) + a * b * sin(angle).Yet what happens when you don’t have those three sides? This is done when you have three sides given. Volume = length * a² * sin(β) * sin(γ) / (2 * sin(β + γ)) Surface area of a triangular prism The most prevalent formula for calculating the surface area is the following:Īrea = length * (a + b + c) + (2 * base_area) = length * base_perimeter + (2 * base_area)

If you have a triangular prism where a side is between two angles ( ASA), working out the area again involves trigonometry: With two sides and an angle in between ( SAS), it’s a case of using trigonometry when calculating the area:Ĥ. When you know each length of the three sides ( SSS), it’s a case of using Heron’s formula to work out the triangular base’s area: Thankfully our calculator has all four techniques implemented.ġ.ğirst of all, there’s the previously mentioned formula for the triangle’s height and base:Ģ. The one parameter that’s always necessary is the prism length, while there are four methods for calculating the base – triangle area. Volume = length * base_area is a general formula for triangular prism volume. Volume of a triangular prism Finding the volume of a triangular prism is easy with our calculator. However, what if you don’t possess the base and height of the triangle? Or if you don’t have the triangular base’s sides, yet you need to discover the surface area? Well don’t worry: there are different triangular prism formulas as found below. The base area of the triangular prism is represented by base_area. The a, b and c letters are the respective sides of the triangle. While the length is, you guessed it, the prism’s length.Īrea = Length * (a + b + c) + (2 * base_area) Volume = 0.5 * b * h * length b is the length of the triangle’s base. The most basic two equations are as followed: The formulas behind a triangular prism The volume and surface area – these are typically what need calculating when a triangular prism is concerned. There are other prism types such as a rectangular prism. Keep in mind that, via the ‘triangular prism’ term, we’re describing a right triangular prism. Ěcross its whole length, it has an identical cross section.These are oblique prisms and right prisms respectively.

Is either in a parallelogram shape or three rectangular faces.

What is a triangular prism? To break it down, a prism is a solid object which: If you’re wondering about the formulas behind our triangular prism calculator, read on for further information.

Formula for volume of triangular prism without height how to#

Have you ever thought about how to discover a triangular prism’s volume? Well if that’s the case, this triangular prism calculator is just the tool you’ve been searching for.Īlong with working out the volume, the calculator can be used to determine the surface area of the triangular prism.ĭue to this versatility, the device can be experimented with and altered to fit your specific needs.