Length of Wedge Cuboid given Long Diagonal Calculator

✖The Long Diagonal of Wedge Cuboid is the length of longest diagonals or the straight line joining two non-adjacent vertices across the two sides of the Wedge Cuboid.ⓘ Long Diagonal of Wedge Cuboid [d_Long]			+10% -10%
✖The Width of Wedge Cuboid is the length of the shorter pair of edges of the base rectangular face of the Wedge Cuboid.ⓘ Width of Wedge Cuboid [w]			+10% -10%
✖The Long Height of Wedge Cuboid is the vertical distance measured from base to the top of the bigger face of Wedge Cuboid.ⓘ Long Height of Wedge Cuboid [h_Long]			+10% -10%

✖The Length of Wedge Cuboid is the length of the longer pair of edges of the base rectangular face of the Wedge Cuboid.ⓘ Length of Wedge Cuboid given Long Diagonal [l]

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Length of Wedge Cuboid given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Wedge Cuboid = sqrt(Long Diagonal of Wedge Cuboid^2-Width of Wedge Cuboid^2-Long Height of Wedge Cuboid^2)
l = sqrt(d_Long^2-w^2-h_Long^2)
This formula uses 1 Functions, 4 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

Length of Wedge Cuboid - (Measured in Meter) - The Length of Wedge Cuboid is the length of the longer pair of edges of the base rectangular face of the Wedge Cuboid.
Long Diagonal of Wedge Cuboid - (Measured in Meter) - The Long Diagonal of Wedge Cuboid is the length of longest diagonals or the straight line joining two non-adjacent vertices across the two sides of the Wedge Cuboid.
Width of Wedge Cuboid - (Measured in Meter) - The Width of Wedge Cuboid is the length of the shorter pair of edges of the base rectangular face of the Wedge Cuboid.
Long Height of Wedge Cuboid - (Measured in Meter) - The Long Height of Wedge Cuboid is the vertical distance measured from base to the top of the bigger face of Wedge Cuboid.

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Wedge Cuboid: 24 Meter --> 24 Meter No Conversion Required
Width of Wedge Cuboid: 8 Meter --> 8 Meter No Conversion Required
Long Height of Wedge Cuboid: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = sqrt(d_Long^2-w^2-h_Long^2) --> sqrt(24^2-8^2-20^2)

Evaluating ... ...

l = 10.5830052442584

STEP 3: Convert Result to Output's Unit

10.5830052442584 Meter --> No Conversion Required

FINAL ANSWER

10.5830052442584 ≈ 10.58301 Meter <-- Length of Wedge Cuboid

(Calculation completed in 00.007 seconds)

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< Length of Wedge Cuboid Calculators

Length of Wedge Cuboid given Volume

LaTeX Go Length of Wedge Cuboid = Volume of Wedge Cuboid/((Width of Wedge Cuboid*Short Height of Wedge Cuboid)+(Width of Wedge Cuboid*(Long Height of Wedge Cuboid-Short Height of Wedge Cuboid)/2))

Length of Wedge Cuboid given Slant Length

LaTeX Go Length of Wedge Cuboid = sqrt(Slant Length of Wedge Cuboid^2-(Long Height of Wedge Cuboid-Short Height of Wedge Cuboid)^2)

Length of Wedge Cuboid given Short Diagonal

LaTeX Go Length of Wedge Cuboid = sqrt(Short Diagonal of Wedge Cuboid^2-Width of Wedge Cuboid^2-Short Height of Wedge Cuboid^2)

Length of Wedge Cuboid given Long Diagonal

LaTeX Go Length of Wedge Cuboid = sqrt(Long Diagonal of Wedge Cuboid^2-Width of Wedge Cuboid^2-Long Height of Wedge Cuboid^2)

Length of Wedge Cuboid given Long Diagonal Formula

LaTeX Go

Length of Wedge Cuboid = sqrt(Long Diagonal of Wedge Cuboid^2-Width of Wedge Cuboid^2-Long Height of Wedge Cuboid^2)
l = sqrt(d_Long^2-w^2-h_Long^2)

What is a Wedge Cuboid?

A Wedge Cuboid is a cuboid with a matching ramp (or perpendicular wedge) attached. In geometry, a convex polyhedron that is bounded by six rectangular faces with eight vertices and twelve edges is called a cuboid. It is a three dimensional shape whose axes are x, y and z.

How to Calculate Length of Wedge Cuboid given Long Diagonal?

Length of Wedge Cuboid given Long Diagonal calculator uses Length of Wedge Cuboid = sqrt(Long Diagonal of Wedge Cuboid^2-Width of Wedge Cuboid^2-Long Height of Wedge Cuboid^2) to calculate the Length of Wedge Cuboid, The Length of Wedge Cuboid given Long Diagonal formula is defined as the length of the longer pair of edges of the base rectangular face of the Wedge Cuboid, and calculated using the long diagonal of Wedge Cuboid. Length of Wedge Cuboid is denoted by l symbol.

How to calculate Length of Wedge Cuboid given Long Diagonal using this online calculator? To use this online calculator for Length of Wedge Cuboid given Long Diagonal, enter Long Diagonal of Wedge Cuboid (d_Long), Width of Wedge Cuboid (w) & Long Height of Wedge Cuboid (h_Long) and hit the calculate button. Here is how the Length of Wedge Cuboid given Long Diagonal calculation can be explained with given input values -> 10.58301 = sqrt(24^2-8^2-20^2).

FAQ

What is Length of Wedge Cuboid given Long Diagonal?

The Length of Wedge Cuboid given Long Diagonal formula is defined as the length of the longer pair of edges of the base rectangular face of the Wedge Cuboid, and calculated using the long diagonal of Wedge Cuboid and is represented as l = sqrt(d_Long^2-w^2-h_Long^2) or Length of Wedge Cuboid = sqrt(Long Diagonal of Wedge Cuboid^2-Width of Wedge Cuboid^2-Long Height of Wedge Cuboid^2). The Long Diagonal of Wedge Cuboid is the length of longest diagonals or the straight line joining two non-adjacent vertices across the two sides of the Wedge Cuboid, The Width of Wedge Cuboid is the length of the shorter pair of edges of the base rectangular face of the Wedge Cuboid & The Long Height of Wedge Cuboid is the vertical distance measured from base to the top of the bigger face of Wedge Cuboid.

How to calculate Length of Wedge Cuboid given Long Diagonal?

The Length of Wedge Cuboid given Long Diagonal formula is defined as the length of the longer pair of edges of the base rectangular face of the Wedge Cuboid, and calculated using the long diagonal of Wedge Cuboid is calculated using Length of Wedge Cuboid = sqrt(Long Diagonal of Wedge Cuboid^2-Width of Wedge Cuboid^2-Long Height of Wedge Cuboid^2). To calculate Length of Wedge Cuboid given Long Diagonal, you need Long Diagonal of Wedge Cuboid (d_Long), Width of Wedge Cuboid (w) & Long Height of Wedge Cuboid (h_Long). With our tool, you need to enter the respective value for Long Diagonal of Wedge Cuboid, Width of Wedge Cuboid & Long Height of Wedge Cuboid 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 Length of Wedge Cuboid?

In this formula, Length of Wedge Cuboid uses Long Diagonal of Wedge Cuboid, Width of Wedge Cuboid & Long Height of Wedge Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Wedge Cuboid = sqrt(Slant Length of Wedge Cuboid^2-(Long Height of Wedge Cuboid-Short Height of Wedge Cuboid)^2)
Length of Wedge Cuboid = sqrt(Short Diagonal of Wedge Cuboid^2-Width of Wedge Cuboid^2-Short Height of Wedge Cuboid^2)
Length of Wedge Cuboid = Volume of Wedge Cuboid/((Width of Wedge Cuboid*Short Height of Wedge Cuboid)+(Width of Wedge Cuboid*(Long Height of Wedge Cuboid-Short Height of Wedge Cuboid)/2))

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