Height of Cuboid given Lateral Surface Area 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 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 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 Height of Cuboid is the vertical distance measured from base to the top of Cuboid.ⓘ Height of Cuboid given Lateral Surface Area [h]

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Formula

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Height of Cuboid given Lateral Surface Area

Formula

`"h" = "LSA"/(2*("l"+"w"))`

Example

`"8.333333m"="300m²"/(2*("12m"+"6m"))`

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Height of Cuboid given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Cuboid = Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))
h = LSA/(2*(l+w))
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Cuboid: 300 Square Meter --> 300 Square Meter No Conversion Required
Length of Cuboid: 12 Meter --> 12 Meter No Conversion Required
Width of Cuboid: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = LSA/(2*(l+w)) --> 300/(2*(12+6))

Evaluating ... ...

h = 8.33333333333333

STEP 3: Convert Result to Output's Unit

8.33333333333333 Meter --> No Conversion Required

FINAL ANSWER

8.33333333333333 ≈ 8.333333 Meter <-- Height of Cuboid

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

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

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< 6 Height of Cuboid Calculators

Height of Cuboid given Surface to Volume Ratio

Go 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

Go 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

Go Height of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)

Height of Cuboid given Lateral Surface Area

Go Height of Cuboid = Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))

Height of Cuboid given Perimeter

Go Height of Cuboid = Perimeter of Cuboid/4-(Length of Cuboid+Width of Cuboid)

Height of Cuboid given Volume

Go Height of Cuboid = Volume of Cuboid/(Length of Cuboid*Width of Cuboid)

< 6 Edges of Cuboid Calculators

Width of Cuboid given Surface to Volume Ratio

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

Width of Cuboid given Total Surface Area

Go Width of Cuboid = (Total Surface Area of Cuboid/2-(Height of Cuboid*Length of Cuboid))/(Height of Cuboid+Length of Cuboid)

Length of Cuboid given Space Diagonal

Go Length of Cuboid = sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)

Height of Cuboid given Lateral Surface Area

Go Height of Cuboid = Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))

Height of Cuboid given Volume

Go Height of Cuboid = Volume of Cuboid/(Length of Cuboid*Width of Cuboid)

Length of Cuboid given Volume

Go Length of Cuboid = Volume of Cuboid/(Width of Cuboid*Height of Cuboid)

Height of Cuboid given Lateral Surface Area Formula

Height of Cuboid = Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))
h = 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 Height of Cuboid given Lateral Surface Area?

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

How to calculate Height of Cuboid given Lateral Surface Area using this online calculator? To use this online calculator for Height of Cuboid given Lateral Surface Area, enter Lateral Surface Area of Cuboid (LSA), Length of Cuboid (l) & Width of Cuboid (w) and hit the calculate button. Here is how the Height of Cuboid given Lateral Surface Area calculation can be explained with given input values -> 8.333333 = 300/(2*(12+6)).

FAQ

What is Height of Cuboid given Lateral Surface Area?

The Height of Cuboid given Lateral Surface Area formula is defined as the vertical distance measured from the base to the top of the Cuboid and calculated using the lateral surface area of the Cuboid and is represented as h = LSA/(2*(l+w)) or Height of Cuboid = Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width 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 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.

How to calculate Height of Cuboid given Lateral Surface Area?

The Height of Cuboid given Lateral Surface Area formula is defined as the vertical distance measured from the base to the top of the Cuboid and calculated using the lateral surface area of the Cuboid is calculated using Height of Cuboid = Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid)). To calculate Height of Cuboid given Lateral Surface Area, you need Lateral Surface Area of Cuboid (LSA), Length of Cuboid (l) & Width of Cuboid (w). With our tool, you need to enter the respective value for Lateral Surface Area of Cuboid, Length 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 Height of Cuboid?

In this formula, Height of Cuboid uses Lateral Surface Area of Cuboid, Length of Cuboid & Width of Cuboid. We can use 6 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 = (Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid)
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 = Perimeter of Cuboid/4-(Length of Cuboid+Width of Cuboid)
Height of Cuboid = Volume of Cuboid/(Length of Cuboid*Width of Cuboid)

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