Long Height of Wedge Cuboid given Long Diagonal Formula

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The Long Height of Wedge Cuboid is the vertical distance measured from base to the top of the bigger face of Wedge Cuboid. Check FAQs
hLong=dLong2-l2-w2
hLong - Long Height of Wedge Cuboid?dLong - Long Diagonal of Wedge Cuboid?l - Length of Wedge Cuboid?w - Width of Wedge Cuboid?

Long Height of Wedge Cuboid given Long Diagonal Example

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With units
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Here is how the Long Height of Wedge Cuboid given Long Diagonal equation looks like with Values.

Here is how the Long Height of Wedge Cuboid given Long Diagonal equation looks like with Units.

Here is how the Long Height of Wedge Cuboid given Long Diagonal equation looks like.

20.2978Edit=24Edit2-10Edit2-8Edit2
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Long Height of Wedge Cuboid given Long Diagonal Solution

Follow our step by step solution on how to calculate Long Height of Wedge Cuboid given Long Diagonal?

FIRST Step Consider the formula
hLong=dLong2-l2-w2
Next Step Substitute values of Variables
hLong=24m2-10m2-8m2
Next Step Prepare to Evaluate
hLong=242-102-82
Next Step Evaluate
hLong=20.2977831301844m
LAST Step Rounding Answer
hLong=20.2978m

Long Height of Wedge Cuboid given Long Diagonal Formula Elements

Variables
Functions
Long Height of 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.
Symbol: hLong
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Long Diagonal of Wedge Cuboid
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.
Symbol: dLong
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Length of 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.
Symbol: l
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Width of 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.
Symbol: w
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
Syntax: sqrt(Number)

Other formulas in Height of Wedge Cuboid category

​Go Short Height of Wedge Cuboid given Short Diagonal
hShort=dShort2-l2-w2

How to Evaluate Long Height of Wedge Cuboid given Long Diagonal?

Long Height of Wedge Cuboid given Long Diagonal evaluator uses Long Height of Wedge Cuboid = sqrt(Long Diagonal of Wedge Cuboid^2-Length of Wedge Cuboid^2-Width of Wedge Cuboid^2) to evaluate the Long Height of Wedge Cuboid, The Long Height of Wedge Cuboid given Long Diagonal formula is defined as the vertical distance measured from base to the top of the bigger face of Wedge Cuboid, and calculated using the long diagonal of Wedge Cuboid. Long Height of Wedge Cuboid is denoted by hLong symbol.

How to evaluate Long Height of Wedge Cuboid given Long Diagonal using this online evaluator? To use this online evaluator for Long Height of Wedge Cuboid given Long Diagonal, enter Long Diagonal of Wedge Cuboid (dLong), Length of Wedge Cuboid (l) & Width of Wedge Cuboid (w) and hit the calculate button.

FAQs on Long Height of Wedge Cuboid given Long Diagonal

What is the formula to find Long Height of Wedge Cuboid given Long Diagonal?
The formula of Long Height of Wedge Cuboid given Long Diagonal is expressed as Long Height of Wedge Cuboid = sqrt(Long Diagonal of Wedge Cuboid^2-Length of Wedge Cuboid^2-Width of Wedge Cuboid^2). Here is an example- 20.29778 = sqrt(24^2-10^2-8^2).
How to calculate Long Height of Wedge Cuboid given Long Diagonal?
With Long Diagonal of Wedge Cuboid (dLong), Length of Wedge Cuboid (l) & Width of Wedge Cuboid (w) we can find Long Height of Wedge Cuboid given Long Diagonal using the formula - Long Height of Wedge Cuboid = sqrt(Long Diagonal of Wedge Cuboid^2-Length of Wedge Cuboid^2-Width of Wedge Cuboid^2). This formula also uses Square Root (sqrt) function(s).
Can the Long Height of Wedge Cuboid given Long Diagonal be negative?
No, the Long Height of Wedge Cuboid given Long Diagonal, measured in Length cannot be negative.
Which unit is used to measure Long Height of Wedge Cuboid given Long Diagonal?
Long Height of Wedge Cuboid given Long Diagonal is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Height of Wedge Cuboid given Long Diagonal can be measured.
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