Volume of Cuboid given Lateral Surface Area, Length and Height Calculator

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

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cuboid Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid)*Length of Cuboid*Height of Cuboid
V = (LSA/(2*h)-l)*l*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.
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.

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
Length of Cuboid: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (LSA/(2*h)-l)*l*h --> (300/(2*8)-12)*12*8

Evaluating ... ...

V = 648

STEP 3: Convert Result to Output's Unit

648 Cubic Meter --> No Conversion Required

FINAL ANSWER

648 Cubic Meter <-- Volume of Cuboid

(Calculation completed in 00.005 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Cuboid » Cuboid » Volume of Cuboid » Volume of Cuboid given Lateral Surface Area, Length and Height

Credits

Created by Dhruv Walia

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

Dhruv Walia has created this Calculator and 1100+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

Nikita Kumari has verified this Calculator and 600+ more calculators!

< 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 Lateral Surface Area, Length and Height Formula

LaTeX Go

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

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

How to calculate Volume of Cuboid given Lateral Surface Area, Length and Height using this online calculator? To use this online calculator for Volume of Cuboid given Lateral Surface Area, Length and Height, enter Lateral Surface Area of Cuboid (LSA), Height of Cuboid (h) & Length of Cuboid (l) and hit the calculate button. Here is how the Volume of Cuboid given Lateral Surface Area, Length and Height calculation can be explained with given input values -> 648 = (300/(2*8)-12)*12*8.

FAQ

What is Volume of Cuboid given Lateral Surface Area, Length and Height?

The Volume of Cuboid given Lateral Surface Area, 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 lateral surface area, length, and height of the Cuboid and is represented as V = (LSA/(2*h)-l)*l*h or Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid)*Length 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 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.

How to calculate Volume of Cuboid given Lateral Surface Area, Length and Height?

The Volume of Cuboid given Lateral Surface Area, 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 lateral surface area, length, and height of the Cuboid is calculated using Volume of Cuboid = (Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid)*Length of Cuboid*Height of Cuboid. To calculate Volume of Cuboid given Lateral Surface Area, Length and Height, you need Lateral Surface Area of Cuboid (LSA), Height of Cuboid (h) & Length of Cuboid (l). With our tool, you need to enter the respective value for Lateral Surface Area of Cuboid, Height of Cuboid & Length 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 & Length 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

Home

FREE PDFs

🔍 Search