Length 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 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 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 given Total Surface Area [l]

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Length of Cuboid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Cuboid = (Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)
l = (TSA/2-(h*w))/(h+w)
This formula uses 4 Variables

Variables Used

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.
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.
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

Total Surface Area of Cuboid: 450 Square Meter --> 450 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

l = (TSA/2-(h*w))/(h+w) --> (450/2-(8*6))/(8+6)

Evaluating ... ...

l = 12.6428571428571

STEP 3: Convert Result to Output's Unit

12.6428571428571 Meter --> No Conversion Required

FINAL ANSWER

12.6428571428571 ≈ 12.64286 Meter <-- Length of Cuboid

(Calculation completed in 00.020 seconds)

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

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< Length of Cuboid Calculators

Length of Cuboid given Total Surface Area

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

Length of Cuboid given Space Diagonal

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

Length of Cuboid given Lateral Surface Area

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

Length of Cuboid given Volume

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

Length of Cuboid given Total Surface Area Formula

LaTeX Go

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

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

How to calculate Length of Cuboid given Total Surface Area using this online calculator? To use this online calculator for Length of Cuboid given Total Surface Area, enter Total Surface Area of Cuboid (TSA), Height of Cuboid (h) & Width of Cuboid (w) and hit the calculate button. Here is how the Length of Cuboid given Total Surface Area calculation can be explained with given input values -> 12.64286 = (450/2-(8*6))/(8+6).

FAQ

What is Length of Cuboid given Total Surface Area?

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

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

In this formula, Length of Cuboid uses Total 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 -

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

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