Space Diagonal of Cuboid given Volume, Length, and Height Calculator

✖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%
✖Volume of Cuboid is the total quantity of three dimensional space enclosed by the surface of a Cuboid.ⓘ Volume of Cuboid [V]			+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 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 given Volume, Length, and Height [d_Space]

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Space Diagonal of Cuboid given Volume, Length, and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+(Volume of Cuboid/(Length of Cuboid*Height of Cuboid))^2+Height of Cuboid^2)
d_Space = sqrt(l^2+(V/(l*h))^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

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.
Volume of Cuboid - (Measured in Cubic Meter) - Volume of Cuboid is the total quantity of three dimensional space enclosed by the surface of a 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

Length of Cuboid: 12 Meter --> 12 Meter No Conversion Required
Volume of Cuboid: 600 Cubic Meter --> 600 Cubic Meter No Conversion Required
Height of Cuboid: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Space = sqrt(l^2+(V/(l*h))^2+h^2) --> sqrt(12^2+(600/(12*8))^2+8^2)

Evaluating ... ...

d_Space = 15.7182219096181

STEP 3: Convert Result to Output's Unit

15.7182219096181 Meter --> No Conversion Required

FINAL ANSWER

15.7182219096181 ≈ 15.71822 Meter <-- Space Diagonal of Cuboid

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Space Diagonal of Cuboid Calculators

Space Diagonal of Cuboid given Volume, Length, and Height

LaTeX Go Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+(Volume of Cuboid/(Length of Cuboid*Height of Cuboid))^2+Height of Cuboid^2)

Space Diagonal of Cuboid given Volume, Width, and Height

LaTeX Go Space Diagonal of Cuboid = sqrt((Volume of Cuboid/(Width of Cuboid*Height of Cuboid))^2+Width of Cuboid^2+Height of Cuboid^2)

Space Diagonal of Cuboid given Volume, Length, and Width

LaTeX Go Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+Width of Cuboid^2+(Volume of Cuboid/(Length of Cuboid*Width of Cuboid))^2)

Space Diagonal of Cuboid

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

Space Diagonal of Cuboid given Volume, Length, and Height Formula

LaTeX Go

Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+(Volume of Cuboid/(Length of Cuboid*Height of Cuboid))^2+Height of Cuboid^2)
d_Space = sqrt(l^2+(V/(l*h))^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 Space Diagonal of Cuboid given Volume, Length, and Height?

Space Diagonal of Cuboid given Volume, Length, and Height calculator uses Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+(Volume of Cuboid/(Length of Cuboid*Height of Cuboid))^2+Height of Cuboid^2) to calculate the Space Diagonal of Cuboid, The Space Diagonal of Cuboid given Volume, Length, and Height formula is defined as the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid, and is calculated using the volume, length and height of the Cuboid. Space Diagonal of Cuboid is denoted by d_Space symbol.

How to calculate Space Diagonal of Cuboid given Volume, Length, and Height using this online calculator? To use this online calculator for Space Diagonal of Cuboid given Volume, Length, and Height, enter Length of Cuboid (l), Volume of Cuboid (V) & Height of Cuboid (h) and hit the calculate button. Here is how the Space Diagonal of Cuboid given Volume, Length, and Height calculation can be explained with given input values -> 15.71822 = sqrt(12^2+(600/(12*8))^2+8^2).

FAQ

What is Space Diagonal of Cuboid given Volume, Length, and Height?

The Space Diagonal of Cuboid given Volume, Length, and Height formula is defined as the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid, and is calculated using the volume, length and height of the Cuboid and is represented as d_Space = sqrt(l^2+(V/(l*h))^2+h^2) or Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+(Volume of Cuboid/(Length of Cuboid*Height of Cuboid))^2+Height of Cuboid^2). 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, Volume of Cuboid is the total quantity of three dimensional space enclosed by the surface of a Cuboid & The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.

How to calculate Space Diagonal of Cuboid given Volume, Length, and Height?

The Space Diagonal of Cuboid given Volume, Length, and Height formula is defined as the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid, and is calculated using the volume, length and height of the Cuboid is calculated using Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+(Volume of Cuboid/(Length of Cuboid*Height of Cuboid))^2+Height of Cuboid^2). To calculate Space Diagonal of Cuboid given Volume, Length, and Height, you need Length of Cuboid (l), Volume of Cuboid (V) & Height of Cuboid (h). With our tool, you need to enter the respective value for Length of Cuboid, Volume 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 Space Diagonal of Cuboid?

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

Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+Width of Cuboid^2+Height of Cuboid^2)
Space Diagonal of Cuboid = sqrt((Volume of Cuboid/(Width of Cuboid*Height of Cuboid))^2+Width of Cuboid^2+Height of Cuboid^2)
Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+Width of Cuboid^2+(Volume of Cuboid/(Length of Cuboid*Width of Cuboid))^2)

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