Acute Angle of Half Cuboid Calculator

✖The Base Length of Half Cuboid is the length of any edge of the bottom square shaped face of the Half Cuboid.ⓘ Base Length of Half Cuboid [l_Base]			+10% -10%
✖The Slant Length of Half Cuboid is the length of any edge of the top rhombus shaped face of the Half Cuboid.ⓘ Slant Length of Half Cuboid [l_Slant]			+10% -10%

✖The Acute Angle of Half Cuboid is the pair of angles of the top rhombus shaped face of the Half Cuboid which is less than 90 degrees.ⓘ Acute Angle of Half Cuboid [∠_Acute]

⎘ Copy

👎

Formula

✖

Acute Angle of Half Cuboid

Formula

`"∠"_{"Acute"} = pi-2*arccos("l"_{"Base"}^2/(sqrt(2)*"l"_{"Base"}*"l"_{"Slant"}))`

Example

`"80.0055°"=pi-2*arccos(("10m")^2/(sqrt(2)*"10m"*"11m"))`

Calculator

LaTeX

Reset

👍

Download Cuboid Formula PDF

Acute Angle of Half Cuboid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acute Angle of Half Cuboid = pi-2*arccos(Base Length of Half Cuboid^2/(sqrt(2)*Base Length of Half Cuboid*Slant Length of Half Cuboid))
∠_Acute = pi-2*arccos(l_Base^2/(sqrt(2)*l_Base*l_Slant))
This formula uses 1 Constants, 3 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
arccos - Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., arccos(Number)
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

Acute Angle of Half Cuboid - (Measured in Radian) - The Acute Angle of Half Cuboid is the pair of angles of the top rhombus shaped face of the Half Cuboid which is less than 90 degrees.
Base Length of Half Cuboid - (Measured in Meter) - The Base Length of Half Cuboid is the length of any edge of the bottom square shaped face of the Half Cuboid.
Slant Length of Half Cuboid - (Measured in Meter) - The Slant Length of Half Cuboid is the length of any edge of the top rhombus shaped face of the Half Cuboid.

STEP 1: Convert Input(s) to Base Unit

Base Length of Half Cuboid: 10 Meter --> 10 Meter No Conversion Required
Slant Length of Half Cuboid: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Acute = pi-2*arccos(l_Base^2/(sqrt(2)*l_Base*l_Slant)) --> pi-2*arccos(10^2/(sqrt(2)*10*11))

Evaluating ... ...

∠_Acute = 1.39635931662027

STEP 3: Convert Result to Output's Unit

1.39635931662027 Radian -->80.0054955261281 Degree (Check conversion here)

FINAL ANSWER

80.0054955261281 ≈ 80.0055 Degree <-- Acute Angle of Half Cuboid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Cuboid » Half Cuboid » Angle of Half Cuboid » Acute Angle of Half Cuboid

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!

< 1 Angle of Half Cuboid Calculators

Acute Angle of Half Cuboid

Go Acute Angle of Half Cuboid = pi-2*arccos(Base Length of Half Cuboid^2/(sqrt(2)*Base Length of Half Cuboid*Slant Length of Half Cuboid))

Acute Angle of Half Cuboid Formula

Acute Angle of Half Cuboid = pi-2*arccos(Base Length of Half Cuboid^2/(sqrt(2)*Base Length of Half Cuboid*Slant Length of Half Cuboid))
∠_Acute = pi-2*arccos(l_Base^2/(sqrt(2)*l_Base*l_Slant))

What is a Cuboid?

In geometry, a Cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube. While mathematical literature refers to any such polyhedron as a cuboid, other sources use "cuboid" to refer to a shape of this type in which each of the faces is a rectangle (and so each pair of adjacent faces meets in a right angle); this more restrictive type of cuboid is also known as a rectangular cuboid, right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped.

How to Calculate Acute Angle of Half Cuboid?

Acute Angle of Half Cuboid calculator uses Acute Angle of Half Cuboid = pi-2*arccos(Base Length of Half Cuboid^2/(sqrt(2)*Base Length of Half Cuboid*Slant Length of Half Cuboid)) to calculate the Acute Angle of Half Cuboid, The Acute Angle of Half Cuboid formula is defined as the pair of angles of the top rhombus shaped face of the Half Cuboid which is less than 90 degrees. Acute Angle of Half Cuboid is denoted by ∠_Acute symbol.

How to calculate Acute Angle of Half Cuboid using this online calculator? To use this online calculator for Acute Angle of Half Cuboid, enter Base Length of Half Cuboid (l_Base) & Slant Length of Half Cuboid (l_Slant) and hit the calculate button. Here is how the Acute Angle of Half Cuboid calculation can be explained with given input values -> 4583.977 = pi-2*arccos(10^2/(sqrt(2)*10*11)).

FAQ

What is Acute Angle of Half Cuboid?

The Acute Angle of Half Cuboid formula is defined as the pair of angles of the top rhombus shaped face of the Half Cuboid which is less than 90 degrees and is represented as ∠_Acute = pi-2*arccos(l_Base^2/(sqrt(2)*l_Base*l_Slant)) or Acute Angle of Half Cuboid = pi-2*arccos(Base Length of Half Cuboid^2/(sqrt(2)*Base Length of Half Cuboid*Slant Length of Half Cuboid)). The Base Length of Half Cuboid is the length of any edge of the bottom square shaped face of the Half Cuboid & The Slant Length of Half Cuboid is the length of any edge of the top rhombus shaped face of the Half Cuboid.

How to calculate Acute Angle of Half Cuboid?

The Acute Angle of Half Cuboid formula is defined as the pair of angles of the top rhombus shaped face of the Half Cuboid which is less than 90 degrees is calculated using Acute Angle of Half Cuboid = pi-2*arccos(Base Length of Half Cuboid^2/(sqrt(2)*Base Length of Half Cuboid*Slant Length of Half Cuboid)). To calculate Acute Angle of Half Cuboid, you need Base Length of Half Cuboid (l_Base) & Slant Length of Half Cuboid (l_Slant). With our tool, you need to enter the respective value for Base Length of Half Cuboid & Slant Length of Half Cuboid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search