Short Height of Wedge Cuboid given Short Diagonal Calculator

✖The Short Diagonal of Wedge Cuboid is the length of smallest diagonals or the straight line joining two non-adjacent vertices across the two sides of the Wedge Cuboid.ⓘ Short Diagonal of Wedge Cuboid [d_Short]			+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 [l]			+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 Short Height of Wedge Cuboid is the vertical distance measured from base to the top of the smaller face of Wedge Cuboid.ⓘ Short Height of Wedge Cuboid given Short Diagonal [h_Short]

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Formula

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Short Height of Wedge Cuboid given Short Diagonal

Formula

`"h"_{"Short"} = sqrt("d"_{"Short"}^2-"l"^2-"w"^2)`

Example

`"12.64911m"=sqrt(("18m")^2-("10m")^2-("8m")^2)`

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Short Height of Wedge Cuboid given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Height of Wedge Cuboid = sqrt(Short Diagonal of Wedge Cuboid^2-Length of Wedge Cuboid^2-Width of Wedge Cuboid^2)
h_Short = sqrt(d_Short^2-l^2-w^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

Short Height of Wedge Cuboid - (Measured in Meter) - The Short Height of Wedge Cuboid is the vertical distance measured from base to the top of the smaller face of Wedge Cuboid.
Short Diagonal of Wedge Cuboid - (Measured in Meter) - The Short Diagonal of Wedge Cuboid is the length of smallest diagonals or the straight line joining two non-adjacent vertices across the two sides of the Wedge Cuboid.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Short Diagonal of Wedge Cuboid: 18 Meter --> 18 Meter No Conversion Required
Length of Wedge Cuboid: 10 Meter --> 10 Meter No Conversion Required
Width of Wedge Cuboid: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Short = sqrt(d_Short^2-l^2-w^2) --> sqrt(18^2-10^2-8^2)

Evaluating ... ...

h_Short = 12.6491106406735

STEP 3: Convert Result to Output's Unit

12.6491106406735 Meter --> No Conversion Required

FINAL ANSWER

12.6491106406735 ≈ 12.64911 Meter <-- Short Height of Wedge Cuboid

(Calculation completed in 00.004 seconds)

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< 2 Height of Wedge Cuboid Calculators

Short Height of Wedge Cuboid given Short Diagonal

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

Long Height of Wedge Cuboid given Long Diagonal

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

Short Height of Wedge Cuboid given Short Diagonal Formula

Short Height of Wedge Cuboid = sqrt(Short Diagonal of Wedge Cuboid^2-Length of Wedge Cuboid^2-Width of Wedge Cuboid^2)
h_Short = sqrt(d_Short^2-l^2-w^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 Short Height of Wedge Cuboid given Short Diagonal?

Short Height of Wedge Cuboid given Short Diagonal calculator uses Short Height of Wedge Cuboid = sqrt(Short Diagonal of Wedge Cuboid^2-Length of Wedge Cuboid^2-Width of Wedge Cuboid^2) to calculate the Short Height of Wedge Cuboid, The Short Height of Wedge Cuboid given Short Diagonal formula is defined as the vertical distance measured from base to the top of the smaller face of Wedge Cuboid, and calculated using the short diagonal of Wedge Cuboid. Short Height of Wedge Cuboid is denoted by h_Short symbol.

How to calculate Short Height of Wedge Cuboid given Short Diagonal using this online calculator? To use this online calculator for Short Height of Wedge Cuboid given Short Diagonal, enter Short Diagonal of Wedge Cuboid (d_Short), Length of Wedge Cuboid (l) & Width of Wedge Cuboid (w) and hit the calculate button. Here is how the Short Height of Wedge Cuboid given Short Diagonal calculation can be explained with given input values -> 12.64911 = sqrt(18^2-10^2-8^2).

FAQ

What is Short Height of Wedge Cuboid given Short Diagonal?

The Short Height of Wedge Cuboid given Short Diagonal formula is defined as the vertical distance measured from base to the top of the smaller face of Wedge Cuboid, and calculated using the short diagonal of Wedge Cuboid and is represented as h_Short = sqrt(d_Short^2-l^2-w^2) or Short Height of Wedge Cuboid = sqrt(Short Diagonal of Wedge Cuboid^2-Length of Wedge Cuboid^2-Width of Wedge Cuboid^2). The Short Diagonal of Wedge Cuboid is the length of smallest diagonals or the straight line joining two non-adjacent vertices across the two sides of the Wedge Cuboid, The Length of Wedge Cuboid is the length of the longer pair of edges of the base rectangular face 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.

How to calculate Short Height of Wedge Cuboid given Short Diagonal?

The Short Height of Wedge Cuboid given Short Diagonal formula is defined as the vertical distance measured from base to the top of the smaller face of Wedge Cuboid, and calculated using the short diagonal of Wedge Cuboid is calculated using Short Height of Wedge Cuboid = sqrt(Short Diagonal of Wedge Cuboid^2-Length of Wedge Cuboid^2-Width of Wedge Cuboid^2). To calculate Short Height of Wedge Cuboid given Short Diagonal, you need Short Diagonal of Wedge Cuboid (d_Short), Length of Wedge Cuboid (l) & Width of Wedge Cuboid (w). With our tool, you need to enter the respective value for Short Diagonal of Wedge Cuboid, Length of Wedge Cuboid & Width of Wedge Cuboid 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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