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

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Cuboid = Length of Cuboid*Width of Cuboid*Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))
V = l*w*LSA/(2*(l+w))
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.
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
V = l*w*LSA/(2*(l+w)) --> 12*6*300/(2*(12+6))
Evaluating ... ...
V = 600
STEP 3: Convert Result to Output's Unit
600 Cubic Meter --> No Conversion Required
FINAL ANSWER
600 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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Volume of Cuboid Calculators

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

Volume of Cuboid given Lateral Surface Area, Width and Length Formula

Volume of Cuboid = Length of Cuboid*Width of Cuboid*Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))
V = l*w*LSA/(2*(l+w))

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 Length?

Volume of Cuboid given Lateral Surface Area, Width and Length calculator uses Volume of Cuboid = Length of Cuboid*Width of Cuboid*Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid)) to calculate the Volume of Cuboid, The Volume of Cuboid given Lateral Surface Area, Width and Length 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, length, and width of the Cuboid. Volume of Cuboid is denoted by V symbol.

How to calculate Volume of Cuboid given Lateral Surface Area, Width and Length using this online calculator? To use this online calculator for Volume of Cuboid given Lateral Surface Area, Width and Length, enter Length of Cuboid (l), Width of Cuboid (w) & Lateral Surface Area of Cuboid (LSA) and hit the calculate button. Here is how the Volume of Cuboid given Lateral Surface Area, Width and Length calculation can be explained with given input values -> 600 = 12*6*300/(2*(12+6)).

FAQ

What is Volume of Cuboid given Lateral Surface Area, Width and Length?
The Volume of Cuboid given Lateral Surface Area, Width and Length 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, length, and width of the Cuboid and is represented as V = l*w*LSA/(2*(l+w)) or Volume of Cuboid = Length of Cuboid*Width of Cuboid*Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width 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 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 Volume of Cuboid given Lateral Surface Area, Width and Length?
The Volume of Cuboid given Lateral Surface Area, Width and Length 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, length, and width of the Cuboid is calculated using Volume of Cuboid = Length of Cuboid*Width of Cuboid*Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid)). To calculate Volume of Cuboid given Lateral Surface Area, Width and Length, 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 Volume of Cuboid?
In this formula, Volume 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 -
  • 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
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