Volume of Cuboid given Space Diagonal, 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%
✖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 Height of Cuboid is the vertical distance measured from base to the top of Cuboid.ⓘ Height of Cuboid [h]			+10% -10%

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

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Volume of Cuboid given Space Diagonal, Length and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

V = 665.107510106449

STEP 3: Convert Result to Output's Unit

665.107510106449 Cubic Meter --> No Conversion Required

FINAL ANSWER

665.107510106449 ≈ 665.1075 Cubic Meter <-- Volume of Cuboid

(Calculation completed in 00.020 seconds)

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

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< Volume of Cuboid Calculators

Volume of Cuboid given Space Diagonal, Length and Height

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

Volume of Cuboid given Space Diagonal, Length and Width

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

Volume of Cuboid given Space Diagonal, Width and Height

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

Volume of Cuboid

LaTeX Go Volume of Cuboid = Length of Cuboid*Width of Cuboid*Height of Cuboid

Volume of Cuboid given Space Diagonal, Length and Height Formula

LaTeX Go

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

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 Volume of Cuboid given Space Diagonal, Length and Height?

Volume of Cuboid given Space Diagonal, Length and Height calculator uses Volume of Cuboid = Length of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)*Height of Cuboid to calculate the Volume of Cuboid, The Volume of Cuboid given Space Diagonal, Length and Height formula is defined as the total quantity of three dimensional space enclosed by the surface of a Cuboid, and is calculated using the space diagonal, length, and height of the Cuboid. Volume of Cuboid is denoted by V symbol.

How to calculate Volume of Cuboid given Space Diagonal, Length and Height using this online calculator? To use this online calculator for Volume of Cuboid given Space Diagonal, Length and Height, enter Length of Cuboid (l), Space Diagonal of Cuboid (d_Space) & Height of Cuboid (h) and hit the calculate button. Here is how the Volume of Cuboid given Space Diagonal, Length and Height calculation can be explained with given input values -> 665.1075 = 12*sqrt(16^2-12^2-8^2)*8.

FAQ

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

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

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

The Volume of Cuboid given Space Diagonal, Length and Height formula is defined as the total quantity of three dimensional space enclosed by the surface of a Cuboid, and is calculated using the space diagonal, length, and height of the Cuboid is calculated using Volume of Cuboid = Length of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)*Height of Cuboid. To calculate Volume of Cuboid given Space Diagonal, Length and Height, you need Length of Cuboid (l), Space Diagonal of Cuboid (d_Space) & Height of Cuboid (h). With our tool, you need to enter the respective value for Length of Cuboid, Space Diagonal 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 Volume of Cuboid?

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

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

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