Volume of Cuboid given Lateral Surface Area, Width and Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid*Height of Cuboid
V = (LSA/(2*h)-w)*w*h
This formula uses 4 Variables
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.
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.
Height of Cuboid - (Measured in Meter) - The Height of Cuboid is the vertical distance measured from base to the top of 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.
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area of Cuboid: 300 Square Meter --> 300 Square Meter No Conversion Required
Height of Cuboid: 8 Meter --> 8 Meter No Conversion Required
Width of Cuboid: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (LSA/(2*h)-w)*w*h --> (300/(2*8)-6)*6*8
Evaluating ... ...
V = 612
STEP 3: Convert Result to Output's Unit
612 Cubic Meter --> No Conversion Required
FINAL ANSWER
612 Cubic Meter <-- Volume of Cuboid
(Calculation completed in 00.004 seconds)

Credits

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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 Lateral Surface Area, Width and Height Formula

Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid*Height of Cuboid
V = (LSA/(2*h)-w)*w*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 Lateral Surface Area, Width and Height?

Volume of Cuboid given Lateral Surface Area, Width and Height calculator uses Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid*Height of Cuboid to calculate the Volume of Cuboid, The Volume of Cuboid given Lateral Surface Area, Width 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 lateral surface area, width, and height of the Cuboid. Volume of Cuboid is denoted by V symbol.

How to calculate Volume of Cuboid given Lateral Surface Area, Width and Height using this online calculator? To use this online calculator for Volume of Cuboid given Lateral Surface Area, Width and Height, enter Lateral Surface Area of Cuboid (LSA), Height of Cuboid (h) & Width of Cuboid (w) and hit the calculate button. Here is how the Volume of Cuboid given Lateral Surface Area, Width and Height calculation can be explained with given input values -> 612 = (300/(2*8)-6)*6*8.

FAQ

What is Volume of Cuboid given Lateral Surface Area, Width and Height?
The Volume of Cuboid given Lateral Surface Area, Width 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 lateral surface area, width, and height of the Cuboid and is represented as V = (LSA/(2*h)-w)*w*h or Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid*Height 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, The Height of Cuboid is the vertical distance measured from base to the top of 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.
How to calculate Volume of Cuboid given Lateral Surface Area, Width and Height?
The Volume of Cuboid given Lateral Surface Area, Width 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 lateral surface area, width, and height of the Cuboid is calculated using Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid*Height of Cuboid. To calculate Volume of Cuboid given Lateral Surface Area, Width and Height, you need Lateral Surface Area of Cuboid (LSA), Height of Cuboid (h) & Width of Cuboid (w). With our tool, you need to enter the respective value for Lateral Surface Area of Cuboid, Height of Cuboid & Width 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 Lateral Surface Area of Cuboid, Height of Cuboid & Width 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*Width of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)
  • 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 = (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 = Length of Cuboid*Width of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)
  • 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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