## Height of Cuboid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Cuboid = (Width of Cuboid*Length of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Length of Cuboid)/2-(Width of Cuboid+Length of Cuboid))
h = (w*l)/((RA/V*w*l)/2-(w+l))
This formula uses 4 Variables
Variables Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Width of Cuboid: 6 Meter --> 6 Meter No Conversion Required
Length of Cuboid: 12 Meter --> 12 Meter No Conversion Required
Surface to Volume Ratio of Cuboid: 0.8 1 per Meter --> 0.8 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (w*l)/((RA/V*w*l)/2-(w+l)) --> (6*12)/((0.8*6*12)/2-(6+12))
Evaluating ... ...
h = 6.66666666666666
STEP 3: Convert Result to Output's Unit
6.66666666666666 Meter --> No Conversion Required
6.66666666666666 6.666667 Meter <-- Height of Cuboid
(Calculation completed in 00.004 seconds)
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## < 5 Height of Cuboid Calculators

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

## Height of Cuboid given Surface to Volume Ratio Formula

Height of Cuboid = (Width of Cuboid*Length of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Length of Cuboid)/2-(Width of Cuboid+Length of Cuboid))
h = (w*l)/((RA/V*w*l)/2-(w+l))

## 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 Height of Cuboid given Surface to Volume Ratio?

Height of Cuboid given Surface to Volume Ratio calculator uses Height of Cuboid = (Width of Cuboid*Length of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Length of Cuboid)/2-(Width of Cuboid+Length of Cuboid)) to calculate the Height of Cuboid, The Height of Cuboid given Surface to Volume Ratio formula is defined as the vertical distance measured from the base to the top of the Cuboid and calculated using the surface to volume ratio of the Cuboid. Height of Cuboid is denoted by h symbol.

How to calculate Height of Cuboid given Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Cuboid given Surface to Volume Ratio, enter Width of Cuboid (w), Length of Cuboid (l) & Surface to Volume Ratio of Cuboid (RA/V) and hit the calculate button. Here is how the Height of Cuboid given Surface to Volume Ratio calculation can be explained with given input values -> 6.666667 = (6*12)/((0.8*6*12)/2-(6+12)).

### FAQ

What is Height of Cuboid given Surface to Volume Ratio?
The Height of Cuboid given Surface to Volume Ratio formula is defined as the vertical distance measured from the base to the top of the Cuboid and calculated using the surface to volume ratio of the Cuboid and is represented as h = (w*l)/((RA/V*w*l)/2-(w+l)) or Height of Cuboid = (Width of Cuboid*Length of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Length of Cuboid)/2-(Width of Cuboid+Length 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, 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 Surface to Volume Ratio of Cuboid is the numerical ratio of the total surface area of a Cuboid to the volume of the Cuboid.
How to calculate Height of Cuboid given Surface to Volume Ratio?
The Height of Cuboid given Surface to Volume Ratio formula is defined as the vertical distance measured from the base to the top of the Cuboid and calculated using the surface to volume ratio of the Cuboid is calculated using Height of Cuboid = (Width of Cuboid*Length of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Length of Cuboid)/2-(Width of Cuboid+Length of Cuboid)). To calculate Height of Cuboid given Surface to Volume Ratio, you need Width of Cuboid (w), Length of Cuboid (l) & Surface to Volume Ratio of Cuboid (RA/V). With our tool, you need to enter the respective value for Width of Cuboid, Length of Cuboid & Surface to Volume Ratio 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 Height of Cuboid?
In this formula, Height of Cuboid uses Width of Cuboid, Length of Cuboid & Surface to Volume Ratio of Cuboid. We can use 5 other way(s) to calculate the same, which is/are as follows -
• Height of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)
• Height of Cuboid = Volume of Cuboid/(Length of Cuboid*Width of Cuboid)
• Height of Cuboid = Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))
• Height of Cuboid = (Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid)
• Height of Cuboid = Perimeter of Cuboid/4-(Length of Cuboid+Width of Cuboid)
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