Volume of Cuboid given Space Diagonal, Length and Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Cuboid = Length of Cuboid*Width of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)
V = l*w*sqrt(dSpace^2-l^2-w^2)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Square root function, 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.
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.
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
Space Diagonal of Cuboid: 16 Meter --> 16 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = l*w*sqrt(dSpace^2-l^2-w^2) --> 12*6*sqrt(16^2-12^2-6^2)
Evaluating ... ...
V = 627.681447869857
STEP 3: Convert Result to Output's Unit
627.681447869857 Cubic Meter --> No Conversion Required
FINAL ANSWER
627.681447869857 627.6814 Cubic Meter <-- Volume 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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13 Volume of Cuboid Calculators

Volume of Cuboid given Total Surface Area, Length and Height
Go Volume of Cuboid = Length of Cuboid*(Total Surface Area of Cuboid/2-(Height of Cuboid*Length of Cuboid))/(Height of Cuboid+Length of Cuboid)*Height of Cuboid
Volume of Cuboid given Total Surface Area, Width and Height
Go Volume of Cuboid = (Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)*Width of Cuboid*Height of Cuboid
Volume of Cuboid given Total Surface Area, Width and Length
Go Volume of Cuboid = Length of Cuboid*Width of Cuboid*(Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid)
Volume of Cuboid given Space Diagonal, Length and Height
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
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
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 given Lateral Surface Area, Length and Height
Go Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid)*Length of Cuboid*Height of Cuboid
Volume of Cuboid given Lateral Surface Area, Width and Length
Go Volume of Cuboid = Length of Cuboid*Width of Cuboid*Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))
Volume of Cuboid given Lateral Surface Area, Width and Height
Go Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid*Height of Cuboid
Volume of Cuboid given Perimeter, Height, and Length
Go Volume of Cuboid = Length of Cuboid*(Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4*Height of Cuboid
Volume of Cuboid given Perimeter, Height, and Width
Go Volume of Cuboid = (Perimeter of Cuboid-(4*(Width of Cuboid+Height of Cuboid)))/4*Width of Cuboid*Height of Cuboid
Volume of Cuboid given Perimeter, Length, and Width
Go Volume of Cuboid = Length of Cuboid*Width of Cuboid*(Perimeter of Cuboid-(4*(Length of Cuboid+Width of Cuboid)))/4
Volume of Cuboid
Go Volume of Cuboid = Length of Cuboid*Width of Cuboid*Height of Cuboid

4 Volume of Cuboid Calculators

Volume of Cuboid given Total Surface Area, Width and Height
Go Volume of Cuboid = (Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)*Width of Cuboid*Height of Cuboid
Volume of Cuboid given Space Diagonal, Length and Width
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 Lateral Surface Area, Width and Height
Go Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid*Height of Cuboid
Volume of Cuboid
Go Volume of Cuboid = Length of Cuboid*Width of Cuboid*Height of Cuboid

Volume of Cuboid given Space Diagonal, Length and Width Formula

Volume of Cuboid = Length of Cuboid*Width of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)
V = l*w*sqrt(dSpace^2-l^2-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 Volume of Cuboid given Space Diagonal, Length and Width?

Volume of Cuboid given Space Diagonal, Length and Width calculator uses Volume of Cuboid = Length of Cuboid*Width of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2) to calculate the Volume of Cuboid, The Volume of Cuboid given Space Diagonal, Length and Width 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 width of the Cuboid. Volume of Cuboid is denoted by V symbol.

How to calculate Volume of Cuboid given Space Diagonal, Length and Width using this online calculator? To use this online calculator for Volume of Cuboid given Space Diagonal, Length and Width, enter Length of Cuboid (l), Width of Cuboid (w) & Space Diagonal of Cuboid (dSpace) and hit the calculate button. Here is how the Volume of Cuboid given Space Diagonal, Length and Width calculation can be explained with given input values -> 627.6814 = 12*6*sqrt(16^2-12^2-6^2).

FAQ

What is Volume of Cuboid given Space Diagonal, Length and Width?
The Volume of Cuboid given Space Diagonal, Length and Width 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 width of the Cuboid and is represented as V = l*w*sqrt(dSpace^2-l^2-w^2) or Volume of Cuboid = Length of Cuboid*Width of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-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 Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid.
How to calculate Volume of Cuboid given Space Diagonal, Length and Width?
The Volume of Cuboid given Space Diagonal, Length and Width 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 width of the Cuboid is calculated using Volume of Cuboid = Length of Cuboid*Width of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2). To calculate Volume of Cuboid given Space Diagonal, Length and Width, you need Length of Cuboid (l), Width of Cuboid (w) & Space Diagonal of Cuboid (dSpace). With our tool, you need to enter the respective value for Length of Cuboid, Width of Cuboid & Space Diagonal 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, Width of Cuboid & Space Diagonal of Cuboid. We can use 15 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*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2)*Height of Cuboid
  • 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 = (Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)*Width of Cuboid*Height of Cuboid
  • Volume of Cuboid = Length of Cuboid*Width of Cuboid*(Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid)
  • Volume of Cuboid = Length of Cuboid*(Total Surface Area of Cuboid/2-(Height of Cuboid*Length of Cuboid))/(Height of Cuboid+Length of Cuboid)*Height of Cuboid
  • Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid)*Length of Cuboid*Height of Cuboid
  • Volume of Cuboid = Length of Cuboid*Width of Cuboid*Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))
  • Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid*Height of Cuboid
  • Volume of Cuboid = (Perimeter of Cuboid-(4*(Width of Cuboid+Height of Cuboid)))/4*Width of Cuboid*Height of Cuboid
  • Volume of Cuboid = Length of Cuboid*(Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4*Height of Cuboid
  • Volume of Cuboid = Length of Cuboid*Width of Cuboid*(Perimeter of Cuboid-(4*(Length of Cuboid+Width of Cuboid)))/4
  • Volume of Cuboid = Length of Cuboid*Width of Cuboid*Height of Cuboid
  • Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid*Height of Cuboid
  • Volume of Cuboid = (Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)*Width of Cuboid*Height of Cuboid
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