Use this calculator to easily calculate the volume of a triangular prism or tank from its length, base, and height in any metric: mm, cm, meters, km, inches, feet, yards, miles So, you need to know just three measures: height, base, and length, in order to calculate the volume. Make sure they are all in the same length unit, or convert accordingly until they are.

The result from the calculation using our volume of a triangular prism calculator is always in cubic units: in 3ft 3yd 3mm 3cm 3meters 3etc.

volume of a pyramid with a triangular base calculator

The math is fairly simple, so it can be done using an ordinary calculator as well as by hand, but it can be difficult with large numbers or numbers with fractions. 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. For example, if the height is 5 inches, the base 2 inches and the length 10 inches, what is the prism volume?

A lot of classical roofs have the shape of a triangular prism, so calculating the volume of air below it might be useful if you are using the space as a living area. This type of roof has the best distribution of forces generated by the weight of the roofing and lateral forces i. Many camping tents are also such prisms, making use of the same beneficial properties. A triangular prism volume calculation may also be handy if you want to estimate the volume of a toblerone bar.

One way to approach this curious problem is to first use the volume of a prism calculator above to calculate the volume of the bar, including the indentations. Then use it to estimate the volume lost to one indentation and multiply it by their number to get the actual chocolate filled volume.

If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G. Calculators Converters Randomizers Articles Search. Volume of a Prism Calculator Use this calculator to easily calculate the volume of a triangular prism or tank from its length, base, and height in any metric: mm, cm, meters, km, inches, feet, yards, miles Prism length. Prism base. Prism height. Calculation results Prism volume 30 cm 3. Share calculator:.

Embed this tool! How to calculate the volume of a triangular prism?A right-angle triangular pyramid with a base of 3 units a triangle height of 4 units and a pyramid height of 5 units has a volume of 10 cubic units. A right-triangular pyramid is a three dimensional shape with a right-angle triangle at its base extruding up to a single point. The volume of a right-triangular pyramid can be calculated according to the following formula:.

Explanation: The general formula used to find the volume of a pyramid is one-third times area of the base times height of the pyramid. Because it is known that this pyramid has a right-triangle at its base the formula for a right-triangle is used to calculate the area. The formula one-half base times height is inserted into the volume formula in the place of area.

After multiplying out the formula now reads one-sixth time base of triangle b times height of triangle h times height of pyramid H. Below is an example of how to find the volume of this type of triangular pyramid.

Truncated Pyramid Calculator

In this example the triangle at the base of the pyramid must have a ninety degree right angle. Lets say the triangle has a base of 3 meters, a height of 4 meters and that the pyramid is 5 meters tall:.

A reasonable effort has been made to ensure the accuracy of the information presented on this web site. However, the accuracy cannot be guaranteed. The conversions on this site will not be accurate enough for all applications. Conversions may rely on other factors not accounted for or that have been estimated.

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Content on this site produced by www. Please attribute www. This calculator and more easy to use calculators waiting at www. Calculating the Volume of a Right-Triangular Pyramid: A right-triangular pyramid is a three dimensional shape with a right-angle triangle at its base extruding up to a single point. This work by www.Determine the volume of any pyramid-like solid with our pyramid volume calculator. Choose between two options: calculate the volume of a pyramid with a regular base, so you need to have only side, shape and height given, or directly enter the base area and the pyramid height.

The calculator doesn't have any problems with determining tetrahedron volume or volume of a square pyramid. If you are still not sure how to use the tool and how to calculate the pyramid volume - keep reading!

A pyramid is a polyhedron formed by connecting a polygonal base and an apex. The basic formula for pyramid volume is the same as for a cone:. That formula is working for any type of base polygon and oblique and right pyramids. All you need to know are those two values - base area and height. However, there are other useful formulas, in case you don't know the base area. For any pyramid with a regular base, you can use the equation:.

We know the formula, and what's next? How to use this pyramid volume calculator? The best choice to demonstrate how it works is the world's best-known pyramid - Cheops pyramid:.

If you want to calculate the regular tetrahedron volume- the one in which all four faces are equilateral triangles, not only the base - you can use the formula:. Now you are an expert and you know exactly how to calculate the pyramid volume! Why not to check the other volume calculators? Embed Share via. Base type. Regular-shaped base. The volume formula works for both right and oblique pyramids. Shape of base. Height h.The Pyramid Volume Calculator can calculate the volume of a pyramid if you enter in the area of the base of the pyramid and the height of the pyramid perpendicular height NOT slant height.

If you are unsure of how to calculate the area of the base of a pyramid then first figure out what type of shape it is rectangle, parallelogram, etc. Once you have the area of the base of the pyramid then all you need to know to use the pyramid volume calculator below is the perpendicular height of the pyramid not the slant height but the perpendicular height which is the distance from the middle of the base of the pyramid to the point of the pyramid moving in a straight line.

The slant height of a pyramid by contrast is the distance from one of the corners of the base of the pyramid to the point of the pyramid moving in a straight line. Make sure that you use the perpendicular height and not the slant height when you enter in the pyramid height into the field below. Let's be honest - sometimes the best pyramid volume calculator is the one that is easy to use and doesn't require us to even know what the pyramid volume formula is in the first place!

But if you want to know the exact formula for calculating pyramid volume then please check out the "Formula" box above. You can get a free online pyramid volume calculator for your website and you don't even have to download the pyramid volume calculator - you can just copy and paste!

Click the "Customize" button above to learn more! Calculator Pro Calculators. Base Area:. Perpendicular Height:. Thank us with a "Like":.

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volume of a pyramid with a triangular base calculator

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Analytics Package. Gain valuable insights with real-time statistics and analytics for your calculator. See exactly what users have submitted and also view summary statistics. Enterprise Package. Support Package. Skip the support lines and receive priority one-on-one support from our customer service team. Required link back. Customize Calculations - unlimited. No link. Pyramid Volume Definition The Pyramid Volume Calculator can calculate the volume of a pyramid if you enter in the area of the base of the pyramid and the height of the pyramid perpendicular height NOT slant height.

How to Calculate Pyramid Volume Let's be honest - sometimes the best pyramid volume calculator is the one that is easy to use and doesn't require us to even know what the pyramid volume formula is in the first place!

volume of a pyramid with a triangular base calculator

Love our Calculators? Donate to CalculatorPro!The pyramid volume calculator will provide you the volume of the pyramid based on the triangle height, base and pyramid height. The calculator will add each new pyramid volume calculation that you complete to a running total in a table. This allows you to calculate the volume of several pyramids using the same calculator without refreshing the page, you can then print or email the results to yourself for later reference.

A pyramid is a [three-dimensional solid object] polyhedron formed by connecting a polygonal base and to a point, called the apex.

Right-Triangular Pyramid Volume Calculator

Note that the volume of a Triangular pyramid is calculated differently to that of a Square Pyramid. Use the volume of a Square Pyramid calculator for appropriate volume calculations. You can calculate the volume of a triangular pyramid using the Triangular Pyramid Volume Calculator by following the steps below:. Note: Remember to use the same measurement unit for each dimension when calculating the volume of an object.

The online Triangular Pyramid calculator below will automatically calculate the volume of the Triangular Pyramid based on the measurements you enter. You will also have a running total which builds as you enter new dimensions into the volume calculator. Triangular Pyramid Volume Calculator The pyramid volume calculator will provide you the volume of the pyramid based on the triangle height, base and pyramid height.

Math Calculators You may also find the following Math calculators useful. Calculator Precision Decimal Places 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Base Triangle Height h 1.

Base Triangle base b 1. Pyramid Height h.The main Navigation tabs at top of each page are Metric - inputs in millimeters mm For Inch versions, directly under the main tab is a smaller 'Inch' tab for the Feet and Inch version. Search by Image.

Curved Surface Area of a Frustum

The 2 longer base lengths, have larger sides, at a lower angle. The 2 shorter base lengths have smaller sides, at a steeper angle. Height Scale. Select and Re-Calculate to display. All Metric Inputs in Millimetres unless otherwise noted.

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Base Edge of a Triangular Pyramid Calculator

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