Length of Cuboid given Space Diagonal Calculator

✖The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid.ⓘ Space Diagonal of Cuboid [d_Space]			+10% -10%
✖The Width of Cuboid is the measure of any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cuboid.ⓘ Width of Cuboid [w]			+10% -10%
✖The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.ⓘ Height of Cuboid [h]			+10% -10%

✖The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid.ⓘ Length of Cuboid given Space Diagonal [l]

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Length of Cuboid given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Cuboid = sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)
l = sqrt(d_Space^2-w^2-h^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 Cuboid - (Measured in Meter) - The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid.
Space Diagonal of Cuboid - (Measured in Meter) - The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid.
Width of Cuboid - (Measured in Meter) - The Width of Cuboid is the measure of any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cuboid.
Height of Cuboid - (Measured in Meter) - The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Cuboid: 16 Meter --> 16 Meter No Conversion Required
Width of Cuboid: 6 Meter --> 6 Meter No Conversion Required
Height of Cuboid: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = sqrt(d_Space^2-w^2-h^2) --> sqrt(16^2-6^2-8^2)

Evaluating ... ...

l = 12.4899959967968

STEP 3: Convert Result to Output's Unit

12.4899959967968 Meter --> No Conversion Required

FINAL ANSWER

12.4899959967968 ≈ 12.49 Meter <-- Length of Cuboid

(Calculation completed in 00.004 seconds)

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< Length of Cuboid Calculators

Length of Cuboid given Total Surface Area

LaTeX Go Length of Cuboid = (Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)

Length of Cuboid given Space Diagonal

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

Length of Cuboid given Lateral Surface Area

LaTeX Go Length of Cuboid = Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid

Length of Cuboid given Volume

LaTeX Go Length of Cuboid = Volume of Cuboid/(Width of Cuboid*Height of Cuboid)

< Edges of Cuboid Calculators

Length of Cuboid given Space Diagonal

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

Height of Cuboid given Lateral Surface Area

LaTeX Go Height of Cuboid = Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))

Height of Cuboid given Volume

LaTeX Go Height of Cuboid = Volume of Cuboid/(Length of Cuboid*Width of Cuboid)

Length of Cuboid given Volume

LaTeX Go Length of Cuboid = Volume of Cuboid/(Width of Cuboid*Height of Cuboid)

Length of Cuboid given Space Diagonal Formula

LaTeX Go

Length of Cuboid = sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)
l = sqrt(d_Space^2-w^2-h^2)

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 Length of Cuboid given Space Diagonal?

Length of Cuboid given Space Diagonal calculator uses Length of Cuboid = sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2) to calculate the Length of Cuboid, The Length of Cuboid given Space Diagonal formula is defined as the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid and calculated using the space diagonal of the Cuboid. Length of Cuboid is denoted by l symbol.

How to calculate Length of Cuboid given Space Diagonal using this online calculator? To use this online calculator for Length of Cuboid given Space Diagonal, enter Space Diagonal of Cuboid (d_Space), Width of Cuboid (w) & Height of Cuboid (h) and hit the calculate button. Here is how the Length of Cuboid given Space Diagonal calculation can be explained with given input values -> 12.49 = sqrt(16^2-6^2-8^2).

FAQ

What is Length of Cuboid given Space Diagonal?

The Length of Cuboid given Space Diagonal formula is defined as the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid and calculated using the space diagonal of the Cuboid and is represented as l = sqrt(d_Space^2-w^2-h^2) or Length of Cuboid = sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2). The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid, The Width of Cuboid is the measure of any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cuboid & The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.

How to calculate Length of Cuboid given Space Diagonal?

The Length of Cuboid given Space Diagonal formula is defined as the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid and calculated using the space diagonal of the Cuboid is calculated using Length of Cuboid = sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2). To calculate Length of Cuboid given Space Diagonal, you need Space Diagonal of Cuboid (d_Space), Width of Cuboid (w) & Height of Cuboid (h). With our tool, you need to enter the respective value for Space Diagonal of Cuboid, Width of Cuboid & Height of 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 Cuboid?

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

Length of Cuboid = Volume of Cuboid/(Width of Cuboid*Height of Cuboid)
Length of Cuboid = Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid
Length of Cuboid = (Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)

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