Space Diagonal of Cuboid given Lateral Surface Area, Length, and Width 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%
✖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 Lateral Surface Area of Cuboid is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid.ⓘ Lateral Surface Area of Cuboid [LSA]			+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 Lateral Surface Area, Length, and Width [d_Space]

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Space Diagonal of Cuboid given Lateral Surface Area, Length, and Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+Width of Cuboid^2+(Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid)))^2)
d_Space = sqrt(l^2+w^2+(LSA/(2*(l+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

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.
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.
Lateral Surface Area of Cuboid - (Measured in Square Meter) - The Lateral Surface Area of Cuboid is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid.

STEP 1: Convert Input(s) to Base Unit

Length of Cuboid: 12 Meter --> 12 Meter No Conversion Required
Width of Cuboid: 6 Meter --> 6 Meter No Conversion Required
Lateral Surface Area of Cuboid: 300 Square Meter --> 300 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Space = sqrt(l^2+w^2+(LSA/(2*(l+w)))^2) --> sqrt(12^2+6^2+(300/(2*(12+6)))^2)

Evaluating ... ...

d_Space = 15.7938103206428

STEP 3: Convert Result to Output's Unit

15.7938103206428 Meter --> No Conversion Required

FINAL ANSWER

15.7938103206428 ≈ 15.79381 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 Lateral Surface Area, Length, and Width Formula

LaTeX Go

Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+Width of Cuboid^2+(Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid)))^2)
d_Space = sqrt(l^2+w^2+(LSA/(2*(l+w)))^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 Lateral Surface Area, Length, and Width?

Space Diagonal of Cuboid given Lateral Surface Area, Length, and Width calculator uses Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+Width of Cuboid^2+(Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid)))^2) to calculate the Space Diagonal of Cuboid, The Space Diagonal of Cuboid given Lateral Surface Area, Length, and Width 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 lateral surface area, length, and width of the Cuboid. Space Diagonal of Cuboid is denoted by d_Space symbol.

How to calculate Space Diagonal of Cuboid given Lateral Surface Area, Length, and Width using this online calculator? To use this online calculator for Space Diagonal of Cuboid given Lateral Surface Area, Length, and Width, enter Length of Cuboid (l), Width of Cuboid (w) & Lateral Surface Area of Cuboid (LSA) and hit the calculate button. Here is how the Space Diagonal of Cuboid given Lateral Surface Area, Length, and Width calculation can be explained with given input values -> 15.79381 = sqrt(12^2+6^2+(300/(2*(12+6)))^2).

FAQ

What is Space Diagonal of Cuboid given Lateral Surface Area, Length, and Width?

The Space Diagonal of Cuboid given Lateral Surface Area, Length, and Width 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 lateral surface area, length, and width of the Cuboid and is represented as d_Space = sqrt(l^2+w^2+(LSA/(2*(l+w)))^2) or Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+Width of Cuboid^2+(Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width 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, 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 Lateral Surface Area of Cuboid is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid.

How to calculate Space Diagonal of Cuboid given Lateral Surface Area, Length, and Width?

The Space Diagonal of Cuboid given Lateral Surface Area, Length, and Width 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 lateral surface area, length, and width of the Cuboid is calculated using Space Diagonal of Cuboid = sqrt(Length of Cuboid^2+Width of Cuboid^2+(Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid)))^2). To calculate Space Diagonal of Cuboid given Lateral Surface Area, Length, and Width, you need Length of Cuboid (l), Width of Cuboid (w) & Lateral Surface Area of Cuboid (LSA). With our tool, you need to enter the respective value for Length of Cuboid, Width of Cuboid & Lateral Surface Area 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, Width of Cuboid & Lateral Surface Area 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+(Volume of Cuboid/(Length of Cuboid*Height of Cuboid))^2+Height of Cuboid^2)

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