Total Surface Area of Cuboid given Lateral Surface Area, Length and Height Calculator

✖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 Height of Cuboid is the vertical distance measured from base to the top of Cuboid.ⓘ Height of Cuboid [h]			+10% -10%
✖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%

✖Total Surface Area of Cuboid is the quantity of plane enclosed by the entire surface of the Cuboid.ⓘ Total Surface Area of Cuboid given Lateral Surface Area, Length and Height [TSA]

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Total Surface Area of Cuboid given Lateral Surface Area, Length and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Cuboid: 12 Meter --> 12 Meter No Conversion Required
Height of Cuboid: 8 Meter --> 8 Meter No Conversion Required
Lateral Surface Area of Cuboid: 300 Square Meter --> 300 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*((l*h)+(h*(LSA/(2*h)-l))+(l*(LSA/(2*h)-l))) --> 2*((12*8)+(8*(300/(2*8)-12))+(12*(300/(2*8)-12)))

Evaluating ... ...

TSA = 462

STEP 3: Convert Result to Output's Unit

462 Square Meter --> No Conversion Required

FINAL ANSWER

462 Square Meter <-- Total Surface Area of Cuboid

(Calculation completed in 00.004 seconds)

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

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< Total Surface Area of Cuboid Calculators

Total Surface Area of Cuboid

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

Total Surface Area of Cuboid given Volume, Length and Height

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

Total Surface Area of Cuboid given Volume, Width and Height

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

Total Surface Area of Cuboid given Volume, Length and Width

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

Total Surface Area of Cuboid given Lateral Surface Area, Length and Height Formula

LaTeX Go

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 Total Surface Area of Cuboid given Lateral Surface Area, Length and Height?

Total Surface Area of Cuboid given Lateral Surface Area, Length and Height calculator uses Total Surface Area of Cuboid = 2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid))+(Length of Cuboid*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid))) to calculate the Total Surface Area of Cuboid, The Total Surface Area of Cuboid given Lateral Surface Area, Length and Height formula is defined as the quantity of plane enclosed by the entire surface of the Cuboid and is calculated using the lateral surface area, length, and height of the Cuboid. Total Surface Area of Cuboid is denoted by TSA symbol.

How to calculate Total Surface Area of Cuboid given Lateral Surface Area, Length and Height using this online calculator? To use this online calculator for Total Surface Area of Cuboid given Lateral Surface Area, Length and Height, enter Length of Cuboid (l), Height of Cuboid (h) & Lateral Surface Area of Cuboid (LSA) and hit the calculate button. Here is how the Total Surface Area of Cuboid given Lateral Surface Area, Length and Height calculation can be explained with given input values -> 462 = 2*((12*8)+(8*(300/(2*8)-12))+(12*(300/(2*8)-12))).

FAQ

What is Total Surface Area of Cuboid given Lateral Surface Area, Length and Height?

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

How to calculate Total Surface Area of Cuboid given Lateral Surface Area, Length and Height?

The Total Surface Area of Cuboid given Lateral Surface Area, Length and Height formula is defined as the quantity of plane enclosed by the entire surface of the Cuboid and is calculated using the lateral surface area, length, and height of the Cuboid is calculated using Total Surface Area of Cuboid = 2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid))+(Length of Cuboid*(Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Length of Cuboid))). To calculate Total Surface Area of Cuboid given Lateral Surface Area, Length and Height, you need Length of Cuboid (l), Height of Cuboid (h) & Lateral Surface Area of Cuboid (LSA). With our tool, you need to enter the respective value for Length of Cuboid, Height of Cuboid & Lateral Surface Area 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 Total Surface Area of Cuboid?

In this formula, Total Surface Area of Cuboid uses Length of Cuboid, Height of Cuboid & Lateral Surface Area of Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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