Height of Cuboid given Total Surface Area Calculator

✖Total Surface Area of Cuboid is the quantity of plane enclosed by the entire surface of the Cuboid.ⓘ Total Surface Area of Cuboid [TSA]			+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 Total Surface Area [h]

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Formula

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Height of Cuboid given Total Surface Area

Formula

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

Example

`"8.5m"=("450m²"/2-("12m"*"6m"))/("12m"+"6m")`

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Height of Cuboid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Cuboid = (Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid)
h = (TSA/2-(l*w))/(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.
Total Surface Area of Cuboid - (Measured in Square Meter) - Total Surface Area of Cuboid is the quantity of plane enclosed by the entire surface 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

Total Surface Area of Cuboid: 450 Square Meter --> 450 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 = (TSA/2-(l*w))/(l+w) --> (450/2-(12*6))/(12+6)

Evaluating ... ...

h = 8.5

STEP 3: Convert Result to Output's Unit

8.5 Meter --> No Conversion Required

FINAL ANSWER

8.5 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)

Height of Cuboid given Total Surface Area Formula

Height of Cuboid = (Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid)
h = (TSA/2-(l*w))/(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 Total Surface Area?

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

How to calculate Height of Cuboid given Total Surface Area using this online calculator? To use this online calculator for Height of Cuboid given Total Surface Area, enter Total Surface Area of Cuboid (TSA), Length of Cuboid (l) & Width of Cuboid (w) and hit the calculate button. Here is how the Height of Cuboid given Total Surface Area calculation can be explained with given input values -> 8.5 = (450/2-(12*6))/(12+6).

FAQ

What is Height of Cuboid given Total Surface Area?

The Height of Cuboid given Total Surface Area formula is defined as the vertical distance measured from the base to the top of the Cuboid and calculated using the total surface area of the Cuboid and is represented as h = (TSA/2-(l*w))/(l+w) or Height of Cuboid = (Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid). Total Surface Area of Cuboid is the quantity of plane enclosed by the entire surface 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 Total Surface Area?

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

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