Acute Angle of Rhombohedron given Total Surface Area Calculator

✖Total Surface Area of Rhombohedron is the total quantity of plane enclosed on the entire surface of the Rhombohedron.ⓘ Total Surface Area of Rhombohedron [TSA]			+10% -10%
✖Edge Length of Rhombohedron is the distance between any pair of adjacent vertices of the Rhombohedron.ⓘ Edge Length of Rhombohedron [l_e]			+10% -10%

✖Acute Angle of Rhombohedron is the angle of any of the six rhombus faces of the Rhombohedron, which is less than 90 degrees.ⓘ Acute Angle of Rhombohedron given Total Surface Area [∠_Acute]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Acute Angle of Rhombohedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acute Angle of Rhombohedron = asin(Total Surface Area of Rhombohedron/(6*Edge Length of Rhombohedron^2))
∠_Acute = asin(TSA/(6*l_e^2))
This formula uses 2 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Acute Angle of Rhombohedron - (Measured in Radian) - Acute Angle of Rhombohedron is the angle of any of the six rhombus faces of the Rhombohedron, which is less than 90 degrees.
Total Surface Area of Rhombohedron - (Measured in Square Meter) - Total Surface Area of Rhombohedron is the total quantity of plane enclosed on the entire surface of the Rhombohedron.
Edge Length of Rhombohedron - (Measured in Meter) - Edge Length of Rhombohedron is the distance between any pair of adjacent vertices of the Rhombohedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Rhombohedron: 460 Square Meter --> 460 Square Meter No Conversion Required
Edge Length of Rhombohedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Acute = asin(TSA/(6*l_e^2)) --> asin(460/(6*10^2))

Evaluating ... ...

∠_Acute = 0.873633193152664

STEP 3: Convert Result to Output's Unit

0.873633193152664 Radian -->50.0554948101945 Degree (Check conversion here)

FINAL ANSWER

50.0554948101945 ≈ 50.05549 Degree <-- Acute Angle of Rhombohedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Rhombohedron » Angle of Rhombohedron » Acute Angle of Rhombohedron » Acute Angle of Rhombohedron given Total Surface Area

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< Acute Angle of Rhombohedron Calculators

Acute Angle of Rhombohedron given Total Surface Area

LaTeX Go Acute Angle of Rhombohedron = asin(Total Surface Area of Rhombohedron/(6*Edge Length of Rhombohedron^2))

Acute Angle of Rhombohedron

LaTeX Go Acute Angle of Rhombohedron = pi-Obtuse Angle of Rhombohedron

Acute Angle of Rhombohedron given Total Surface Area Formula

LaTeX Go

Acute Angle of Rhombohedron = asin(Total Surface Area of Rhombohedron/(6*Edge Length of Rhombohedron^2))
∠_Acute = asin(TSA/(6*l_e^2))

What is a Rhombohedron?

A Rhombohedron (also called a rhombic hexahedron) is a three-dimensional figure like a cuboid (also called a rectangular parallelepiped), except that its faces are not rectangles but rhombi. It is a special case of a parallelepiped where all edges are the same length. It can be used to define the rhombohedral lattice system, a honeycomb with rhombohedral cells. In general, a Rhombohedron can have up to three types of rhombic faces in congruent opposite pairs, Ci symmetry, order 2.

How to Calculate Acute Angle of Rhombohedron given Total Surface Area?

Acute Angle of Rhombohedron given Total Surface Area calculator uses Acute Angle of Rhombohedron = asin(Total Surface Area of Rhombohedron/(6*Edge Length of Rhombohedron^2)) to calculate the Acute Angle of Rhombohedron, Acute Angle of Rhombohedron given Total Surface Area formula is defined as the angle of any of the six rhombus faces of the Rhombohedron, which is less than 90 degrees, calculated using its total surface area. Acute Angle of Rhombohedron is denoted by ∠_Acute symbol.

How to calculate Acute Angle of Rhombohedron given Total Surface Area using this online calculator? To use this online calculator for Acute Angle of Rhombohedron given Total Surface Area, enter Total Surface Area of Rhombohedron (TSA) & Edge Length of Rhombohedron (l_e) and hit the calculate button. Here is how the Acute Angle of Rhombohedron given Total Surface Area calculation can be explained with given input values -> 2867.969 = asin(460/(6*10^2)).

FAQ

What is Acute Angle of Rhombohedron given Total Surface Area?

Acute Angle of Rhombohedron given Total Surface Area formula is defined as the angle of any of the six rhombus faces of the Rhombohedron, which is less than 90 degrees, calculated using its total surface area and is represented as ∠_Acute = asin(TSA/(6*l_e^2)) or Acute Angle of Rhombohedron = asin(Total Surface Area of Rhombohedron/(6*Edge Length of Rhombohedron^2)). Total Surface Area of Rhombohedron is the total quantity of plane enclosed on the entire surface of the Rhombohedron & Edge Length of Rhombohedron is the distance between any pair of adjacent vertices of the Rhombohedron.

How to calculate Acute Angle of Rhombohedron given Total Surface Area?

Acute Angle of Rhombohedron given Total Surface Area formula is defined as the angle of any of the six rhombus faces of the Rhombohedron, which is less than 90 degrees, calculated using its total surface area is calculated using Acute Angle of Rhombohedron = asin(Total Surface Area of Rhombohedron/(6*Edge Length of Rhombohedron^2)). To calculate Acute Angle of Rhombohedron given Total Surface Area, you need Total Surface Area of Rhombohedron (TSA) & Edge Length of Rhombohedron (l_e). With our tool, you need to enter the respective value for Total Surface Area of Rhombohedron & Edge Length of Rhombohedron 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 Acute Angle of Rhombohedron?

In this formula, Acute Angle of Rhombohedron uses Total Surface Area of Rhombohedron & Edge Length of Rhombohedron. We can use 1 other way(s) to calculate the same, which is/are as follows -

Acute Angle of Rhombohedron = pi-Obtuse Angle of Rhombohedron

Home

FREE PDFs

🔍 Search