Volume of Half Tetrahedron given Height Calculator

✖The Height of Half Tetrahedron is defined as the measure of the vertical distance from one top to bottom face of a Half Tetrahedron.ⓘ Height of Half Tetrahedron [h]

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✖The Volume of Half Tetrahedron is the amount of three-dimensional space that is enclosed by a Half Tetrahedron.ⓘ Volume of Half Tetrahedron given Height [V]

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Volume of Half Tetrahedron given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Half Tetrahedron = ((sqrt(6)*Height of Half Tetrahedron)^3)/24*sqrt(2)
V = ((sqrt(6)*h)^3)/24*sqrt(2)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Volume of Half Tetrahedron - (Measured in Cubic Meter) - The Volume of Half Tetrahedron is the amount of three-dimensional space that is enclosed by a Half Tetrahedron.
Height of Half Tetrahedron - (Measured in Meter) - The Height of Half Tetrahedron is defined as the measure of the vertical distance from one top to bottom face of a Half Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Height of Half Tetrahedron: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((sqrt(6)*h)^3)/24*sqrt(2) --> ((sqrt(6)*4)^3)/24*sqrt(2)

Evaluating ... ...

V = 55.4256258422041

STEP 3: Convert Result to Output's Unit

55.4256258422041 Cubic Meter --> No Conversion Required

FINAL ANSWER

55.4256258422041 ≈ 55.42563 Cubic Meter <-- Volume of Half Tetrahedron

(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru

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< Volume of Half Tetrahedron Calculators

Volume of Half Tetrahedron given Total Surface Area

LaTeX Go Volume of Half Tetrahedron = ((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))^3)/24*sqrt(2)

Volume of Half Tetrahedron given Height

LaTeX Go Volume of Half Tetrahedron = ((sqrt(6)*Height of Half Tetrahedron)^3)/24*sqrt(2)

Volume of Half Tetrahedron

LaTeX Go Volume of Half Tetrahedron = (Tetrahedral Edge of Half Tetrahedron^3)/24*sqrt(2)

Volume of Half Tetrahedron given Half Edges

LaTeX Go Volume of Half Tetrahedron = ((2*Half Edge of Half Tetrahedron)^3)/24*sqrt(2)

Volume of Half Tetrahedron given Height Formula

LaTeX Go

Volume of Half Tetrahedron = ((sqrt(6)*Height of Half Tetrahedron)^3)/24*sqrt(2)
V = ((sqrt(6)*h)^3)/24*sqrt(2)

What is a Half Tetrahedron?

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces. A regular tetrahedron which is cut into half, so that a long wedge with a square base is formed. One edge a of the tetrahedron remains, the other eight edges b have half the length

How to Calculate Volume of Half Tetrahedron given Height?

Volume of Half Tetrahedron given Height calculator uses Volume of Half Tetrahedron = ((sqrt(6)*Height of Half Tetrahedron)^3)/24*sqrt(2) to calculate the Volume of Half Tetrahedron, The Volume of Half Tetrahedron given Height formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron, calculated using its height. Volume of Half Tetrahedron is denoted by V symbol.

How to calculate Volume of Half Tetrahedron given Height using this online calculator? To use this online calculator for Volume of Half Tetrahedron given Height, enter Height of Half Tetrahedron (h) and hit the calculate button. Here is how the Volume of Half Tetrahedron given Height calculation can be explained with given input values -> 55.42563 = ((sqrt(6)*4)^3)/24*sqrt(2).

FAQ

What is Volume of Half Tetrahedron given Height?

The Volume of Half Tetrahedron given Height formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron, calculated using its height and is represented as V = ((sqrt(6)*h)^3)/24*sqrt(2) or Volume of Half Tetrahedron = ((sqrt(6)*Height of Half Tetrahedron)^3)/24*sqrt(2). The Height of Half Tetrahedron is defined as the measure of the vertical distance from one top to bottom face of a Half Tetrahedron.

How to calculate Volume of Half Tetrahedron given Height?

The Volume of Half Tetrahedron given Height formula is defined as the quantity of three-dimensional space enclosed by a Half Tetrahedron, calculated using its height is calculated using Volume of Half Tetrahedron = ((sqrt(6)*Height of Half Tetrahedron)^3)/24*sqrt(2). To calculate Volume of Half Tetrahedron given Height, you need Height of Half Tetrahedron (h). With our tool, you need to enter the respective value for Height of Half Tetrahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Half Tetrahedron?

In this formula, Volume of Half Tetrahedron uses Height of Half Tetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Half Tetrahedron = (Tetrahedral Edge of Half Tetrahedron^3)/24*sqrt(2)
Volume of Half Tetrahedron = ((2*Half Edge of Half Tetrahedron)^3)/24*sqrt(2)
Volume of Half Tetrahedron = ((sqrt(Total Surface Area of Half Tetrahedron/(sqrt(3)/2+1/4)))^3)/24*sqrt(2)

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