Surface to Volume Ratio of Cuboid given Lateral Surface Area, Height, and Width 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 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.ⓘ Width of Cuboid [w]			+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, Height, and Width [R_A/V]

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

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Cuboid = (2*(((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid)))/((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid*Height of Cuboid)
R_A/V = (2*(((LSA/(2*h)-w)*h)+(h*w)+((LSA/(2*h)-w)*w)))/((LSA/(2*h)-w)*w*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.
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

R_A/V = (2*(((LSA/(2*h)-w)*h)+(h*w)+((LSA/(2*h)-w)*w)))/((LSA/(2*h)-w)*w*h) --> (2*(((300/(2*8)-6)*8)+(8*6)+((300/(2*8)-6)*6)))/((300/(2*8)-6)*6*8)

Evaluating ... ...

R_A/V = 0.740196078431373

STEP 3: Convert Result to Output's Unit

0.740196078431373 1 per Meter --> No Conversion Required

FINAL ANSWER

0.740196078431373 ≈ 0.740196 1 per Meter <-- Surface to Volume Ratio of Cuboid

(Calculation completed in 00.004 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, Height, and Width 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, Height, and Width?

Surface to Volume Ratio of Cuboid given Lateral Surface Area, Height, and Width calculator uses Surface to Volume Ratio of Cuboid = (2*(((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid)))/((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width 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, Height, and Width 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, width, and height 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, Height, and Width using this online calculator? To use this online calculator for Surface to Volume Ratio of Cuboid given Lateral Surface Area, Height, and Width, enter Lateral Surface Area of Cuboid (LSA), Height of Cuboid (h) & Width of Cuboid (w) and hit the calculate button. Here is how the Surface to Volume Ratio of Cuboid given Lateral Surface Area, Height, and Width calculation can be explained with given input values -> 0.740196 = (2*(((300/(2*8)-6)*8)+(8*6)+((300/(2*8)-6)*6)))/((300/(2*8)-6)*6*8).

FAQ

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

The Surface to Volume Ratio of Cuboid given Lateral Surface Area, Height, and Width 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, width, and height of the Cuboid and is represented as R_A/V = (2*(((LSA/(2*h)-w)*h)+(h*w)+((LSA/(2*h)-w)*w)))/((LSA/(2*h)-w)*w*h) or Surface to Volume Ratio of Cuboid = (2*(((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width 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 Surface to Volume Ratio of Cuboid given Lateral Surface Area, Height, and Width?

The Surface to Volume Ratio of Cuboid given Lateral Surface Area, Height, and Width 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, width, and height of the Cuboid is calculated using Surface to Volume Ratio of Cuboid = (2*(((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid)))/((Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid*Height of Cuboid). To calculate Surface to Volume Ratio of Cuboid given Lateral Surface Area, Height, and Width, 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 Surface to Volume Ratio of Cuboid?

In this formula, Surface to Volume Ratio of Cuboid uses Lateral Surface Area of Cuboid, Height of Cuboid & Width 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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