Surface to Volume Ratio of Cuboid given Lateral Surface Area, 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 Height of Cuboid is the vertical distance measured from base to the top of Cuboid.ⓘ Height of Cuboid [h]			+10% -10%
✖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 Surface to Volume Ratio of Cuboid is the numerical ratio of the total surface area of a Cuboid to the volume of the Cuboid.ⓘ Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Height [R_A/V]

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

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Cuboid = (2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid))+(Length of Cuboid*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid))))/((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid)*Length of Cuboid*Height of Cuboid)
R_A/V = (2*((l*h)+(h*(LSA/(2*h)-l))+(l*(LSA/(2*h)-l))))/((LSA/(2*h)-l)*l*h)
This formula uses 4 Variables

Variables Used

Surface to Volume Ratio of Cuboid - (Measured in 1 per Meter) - The Surface to Volume Ratio of Cuboid is the numerical ratio of the total surface area of a Cuboid to the volume of the 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.
Height of Cuboid - (Measured in Meter) - The Height of Cuboid is the vertical distance measured from base to the top 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
Height of Cuboid: 8 Meter --> 8 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

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

Evaluating ... ...

R_A/V = 0.712962962962963

STEP 3: Convert Result to Output's Unit

0.712962962962963 1 per Meter --> No Conversion Required

FINAL ANSWER

0.712962962962963 ≈ 0.712963 1 per Meter <-- Surface to Volume Ratio of Cuboid

(Calculation completed in 00.020 seconds)

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< Surface to Volume Ratio of Cuboid Calculators

Surface to Volume Ratio of Cuboid given Space Diagonal, Length, and Height

LaTeX Go Surface to Volume Ratio of Cuboid = (2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))+(Length of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))))/(Length of Cuboid*Height of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))

Surface to Volume Ratio of Cuboid given Space Diagonal, Length, and Width

LaTeX Go Surface to Volume Ratio of Cuboid = (2*((Length of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2))+(sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)*Width of Cuboid)+(Length of Cuboid*Width of Cuboid)))/(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Length of Cuboid^2)*Width of Cuboid*Length of Cuboid)

Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width

LaTeX Go Surface to Volume Ratio of Cuboid = (2*((sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Width of Cuboid)))/(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Width of Cuboid*Height of Cuboid)

Surface to Volume Ratio of Cuboid

LaTeX Go Surface to Volume Ratio of Cuboid = (2*((Length of Cuboid*Width of Cuboid)+(Length of Cuboid*Height of Cuboid)+(Width of Cuboid*Height of Cuboid)))/(Length of Cuboid*Width of Cuboid*Height of Cuboid)

Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Height Formula

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

Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Height calculator uses Surface to Volume Ratio of Cuboid = (2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid))+(Length of Cuboid*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid))))/((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid)*Length of Cuboid*Height of Cuboid) to calculate the Surface to Volume Ratio of Cuboid, The Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Height formula is defined as the numerical ratio of the total surface area of a Cuboid to the volume of the Cuboid, and is calculated using the lateral surface area, height, and length of the Cuboid. Surface to Volume Ratio of Cuboid is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Height, enter Length of Cuboid (l), Height of Cuboid (h) & Lateral Surface Area of Cuboid (LSA) and hit the calculate button. Here is how the Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Height calculation can be explained with given input values -> 0.712963 = (2*((12*8)+(8*(300/(2*8)-12))+(12*(300/(2*8)-12))))/((300/(2*8)-12)*12*8).

FAQ

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

The Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Height formula is defined as the numerical ratio of the total surface area of a Cuboid to the volume of the Cuboid, and is calculated using the lateral surface area, height, and length of the Cuboid and is represented as R_A/V = (2*((l*h)+(h*(LSA/(2*h)-l))+(l*(LSA/(2*h)-l))))/((LSA/(2*h)-l)*l*h) or Surface to Volume Ratio of Cuboid = (2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid))+(Length of Cuboid*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid))))/((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid)*Length of Cuboid*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 Height of Cuboid is the vertical distance measured from base to the top 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 Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Height?

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

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

Surface to Volume Ratio of Cuboid = (2*((Length of Cuboid*Width of Cuboid)+(Length of Cuboid*Height of Cuboid)+(Width of Cuboid*Height of Cuboid)))/(Length of Cuboid*Width of Cuboid*Height of Cuboid)
Surface to Volume Ratio of Cuboid = (2*((Length of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2))+(sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)*Width of Cuboid)+(Length of Cuboid*Width of Cuboid)))/(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Length of Cuboid^2)*Width of Cuboid*Length of Cuboid)
Surface to Volume Ratio of Cuboid = (2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))+(Length of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))))/(Length of Cuboid*Height of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))

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