Width 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 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 [l]			+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 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 given Space Diagonal [w]

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Formula

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Width of Cuboid given Space Diagonal

Formula

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

Example

`"6.928203m"=sqrt(("16m")^2-("12m")^2-("8m")^2)`

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Width of Cuboid given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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
Length of Cuboid: 12 Meter --> 12 Meter No Conversion Required
Height of Cuboid: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = sqrt(d_Space^2-l^2-h^2) --> sqrt(16^2-12^2-8^2)

Evaluating ... ...

w = 6.92820323027551

STEP 3: Convert Result to Output's Unit

6.92820323027551 Meter --> No Conversion Required

FINAL ANSWER

6.92820323027551 ≈ 6.928203 Meter <-- Width of Cuboid

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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< 6 Width of Cuboid Calculators

Width of Cuboid given Surface to Volume Ratio

Go Width of Cuboid = (Length of Cuboid*Height of Cuboid)/((Surface to Volume Ratio of Cuboid*Length of Cuboid*Height of Cuboid)/2-(Length of Cuboid+Height of Cuboid))

Width of Cuboid given Total Surface Area

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

Width of Cuboid given Space Diagonal

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

Width of Cuboid given Lateral Surface Area

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

Width of Cuboid given Perimeter

Go Width of Cuboid = (Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4

Width of Cuboid given Volume

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

Width of Cuboid given Space Diagonal Formula

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

Width of Cuboid given Space Diagonal calculator uses Width of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2) to calculate the Width of Cuboid, The Width of Cuboid given Space Diagonal formula is defined as 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 and calculated using the space diagonal of the Cuboid. Width of Cuboid is denoted by w symbol.

How to calculate Width of Cuboid given Space Diagonal using this online calculator? To use this online calculator for Width of Cuboid given Space Diagonal, enter Space Diagonal of Cuboid (d_Space), Length of Cuboid (l) & Height of Cuboid (h) and hit the calculate button. Here is how the Width of Cuboid given Space Diagonal calculation can be explained with given input values -> 6.928203 = sqrt(16^2-12^2-8^2).

FAQ

What is Width of Cuboid given Space Diagonal?

The Width of Cuboid given Space Diagonal formula is defined as 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 and calculated using the space diagonal of the Cuboid and is represented as w = sqrt(d_Space^2-l^2-h^2) or Width of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length 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 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 & The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.

How to calculate Width of Cuboid given Space Diagonal?

The Width of Cuboid given Space Diagonal formula is defined as 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 and calculated using the space diagonal of the Cuboid is calculated using Width of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2). To calculate Width of Cuboid given Space Diagonal, you need Space Diagonal of Cuboid (d_Space), Length of Cuboid (l) & Height of Cuboid (h). With our tool, you need to enter the respective value for Space Diagonal of Cuboid, Length 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 Width of Cuboid?

In this formula, Width of Cuboid uses Space Diagonal of Cuboid, Length of Cuboid & Height of Cuboid. We can use 5 other way(s) to calculate the same, which is/are as follows -

Width of Cuboid = Volume of Cuboid/(Length of Cuboid*Height of Cuboid)
Width of Cuboid = Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid
Width of Cuboid = (Total Surface Area of Cuboid/2-(Height of Cuboid*Length of Cuboid))/(Height of Cuboid+Length of Cuboid)
Width of Cuboid = (Length of Cuboid*Height of Cuboid)/((Surface to Volume Ratio of Cuboid*Length of Cuboid*Height of Cuboid)/2-(Length of Cuboid+Height of Cuboid))
Width of Cuboid = (Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4

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