Total Surface Area of Disphenoid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Disphenoid = 4*sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid))
TSA = 4*sqrt(P/8*(P/8-Sa)*(P/8-Sb)*(P/8-Sc))
This formula uses 1 Functions, 5 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
Total Surface Area of Disphenoid - (Measured in Square Meter) - The Total Surface Area of Disphenoid is the amount or quantity of two dimensional space covered on the entire surface of Disphenoid.
Perimeter of Disphenoid - (Measured in Meter) - Perimeter of Disphenoid is the total distance around the edge of the Disphenoid.
Side A of Disphenoid - (Measured in Meter) - Side A of Disphenoid is the length of the first edge of any of the congruent triangular faces of the Disphenoid.
Side B of Disphenoid - (Measured in Meter) - Side B of Disphenoid is the length of the second edge of any of the congruent triangular faces of the Disphenoid.
Side C of Disphenoid - (Measured in Meter) - Side C of Disphenoid is the length of the third edge of any of the congruent triangular faces of the Disphenoid.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Disphenoid: 152 Meter --> 152 Meter No Conversion Required
Side A of Disphenoid: 10 Meter --> 10 Meter No Conversion Required
Side B of Disphenoid: 13 Meter --> 13 Meter No Conversion Required
Side C of Disphenoid: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = 4*sqrt(P/8*(P/8-Sa)*(P/8-Sb)*(P/8-Sc)) --> 4*sqrt(152/8*(152/8-10)*(152/8-13)*(152/8-15))
Evaluating ... ...
TSA = 256.249878048751
STEP 3: Convert Result to Output's Unit
256.249878048751 Square Meter --> No Conversion Required
FINAL ANSWER
256.249878048751 256.2499 Square Meter <-- Total Surface Area of Disphenoid
(Calculation completed in 00.004 seconds)

Credits

Created by Nikhil
Mumbai University (DJSCE), Mumbai
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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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1 Total Surface Area of Disphenoid Calculators

Total Surface Area of Disphenoid
Go Total Surface Area of Disphenoid = 4*sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid))

Total Surface Area of Disphenoid Formula

Total Surface Area of Disphenoid = 4*sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid))
TSA = 4*sqrt(P/8*(P/8-Sa)*(P/8-Sb)*(P/8-Sc))

What is a Disphenoid?

In geometry, a Disphenoid (from Greek sphenoeides, "wedgelike") is a tetrahedron whose four faces are congruent acute-angled triangles. It can also be described as a tetrahedron in which every two edges that are opposite each other have equal lengths. Other names for the same shape are sphenoid, bisphenoid, isosceles tetrahedron, equifacial tetrahedron, almost regular tetrahedron, and tetramonohedron. All the solid angles and vertex figures of a Disphenoid are the same, and the sum of the face angles at each vertex is equal to two right angles. However, a Disphenoid is not a regular polyhedron, because, in general, its faces are not regular polygons, and its edges have three different lengths.

How to Calculate Total Surface Area of Disphenoid?

Total Surface Area of Disphenoid calculator uses Total Surface Area of Disphenoid = 4*sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid)) to calculate the Total Surface Area of Disphenoid, The Total Surface Area of Disphenoid formula is defined as the amount or quantity of two dimensional space covered on the entire surface of Disphenoid. Total Surface Area of Disphenoid is denoted by TSA symbol.

How to calculate Total Surface Area of Disphenoid using this online calculator? To use this online calculator for Total Surface Area of Disphenoid, enter Perimeter of Disphenoid (P), Side A of Disphenoid (Sa), Side B of Disphenoid (Sb) & Side C of Disphenoid (Sc) and hit the calculate button. Here is how the Total Surface Area of Disphenoid calculation can be explained with given input values -> 256.2499 = 4*sqrt(152/8*(152/8-10)*(152/8-13)*(152/8-15)).

FAQ

What is Total Surface Area of Disphenoid?
The Total Surface Area of Disphenoid formula is defined as the amount or quantity of two dimensional space covered on the entire surface of Disphenoid and is represented as TSA = 4*sqrt(P/8*(P/8-Sa)*(P/8-Sb)*(P/8-Sc)) or Total Surface Area of Disphenoid = 4*sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid)). Perimeter of Disphenoid is the total distance around the edge of the Disphenoid, Side A of Disphenoid is the length of the first edge of any of the congruent triangular faces of the Disphenoid, Side B of Disphenoid is the length of the second edge of any of the congruent triangular faces of the Disphenoid & Side C of Disphenoid is the length of the third edge of any of the congruent triangular faces of the Disphenoid.
How to calculate Total Surface Area of Disphenoid?
The Total Surface Area of Disphenoid formula is defined as the amount or quantity of two dimensional space covered on the entire surface of Disphenoid is calculated using Total Surface Area of Disphenoid = 4*sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid)). To calculate Total Surface Area of Disphenoid, you need Perimeter of Disphenoid (P), Side A of Disphenoid (Sa), Side B of Disphenoid (Sb) & Side C of Disphenoid (Sc). With our tool, you need to enter the respective value for Perimeter of Disphenoid, Side A of Disphenoid, Side B of Disphenoid & Side C of Disphenoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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