Lateral Surface Area of Cuboid given Space Diagonal, Height and Width Calculator

✖The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.ⓘ Height of Cuboid [h]			+10% -10%
✖The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid.ⓘ Space Diagonal of Cuboid [d_Space]			+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 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 given Space Diagonal, Height and Width [LSA]

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Lateral Surface Area of Cuboid given Space Diagonal, Height and Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Cuboid = 2*Height of Cuboid*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid)
LSA = 2*h*(sqrt(d_Space^2-w^2-h^2)+w)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Height of Cuboid - (Measured in Meter) - The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.
Space Diagonal of Cuboid - (Measured in Meter) - The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior 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

Height of Cuboid: 8 Meter --> 8 Meter No Conversion Required
Space Diagonal of Cuboid: 16 Meter --> 16 Meter No Conversion Required
Width of Cuboid: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = 2*h*(sqrt(d_Space^2-w^2-h^2)+w) --> 2*8*(sqrt(16^2-6^2-8^2)+6)

Evaluating ... ...

LSA = 295.839935948749

STEP 3: Convert Result to Output's Unit

295.839935948749 Square Meter --> No Conversion Required

FINAL ANSWER

295.839935948749 ≈ 295.8399 Square Meter <-- Lateral Surface Area of Cuboid

(Calculation completed in 00.020 seconds)

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< Lateral Surface Area of Cuboid Calculators

Lateral Surface Area of Cuboid given Volume, Length and Height

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

Lateral Surface Area of Cuboid given Volume, Length and Width

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

Lateral Surface Area of Cuboid given Volume, Width and Height

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

Lateral Surface Area of Cuboid

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

< Lateral Surface Area of Cuboid Calculators

Lateral Surface Area of Cuboid given Space Diagonal, Height and Width

LaTeX Go Lateral Surface Area of Cuboid = 2*Height of Cuboid*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid)

Lateral Surface Area of Cuboid given Volume, Length and Height

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

Lateral Surface Area of Cuboid given Total Surface Area, Length and Width

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

Lateral Surface Area of Cuboid

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

Lateral Surface Area of Cuboid given Space Diagonal, Height and Width Formula

LaTeX Go

Lateral Surface Area of Cuboid = 2*Height of Cuboid*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid)
LSA = 2*h*(sqrt(d_Space^2-w^2-h^2)+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 Lateral Surface Area of Cuboid given Space Diagonal, Height and Width?

Lateral Surface Area of Cuboid given Space Diagonal, Height and Width calculator uses Lateral Surface Area of Cuboid = 2*Height of Cuboid*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid) to calculate the Lateral Surface Area of Cuboid, The Lateral Surface Area of Cuboid given Space Diagonal, Height and Width formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid, and is calculated using the space diagonal, width, and height of the Cuboid. Lateral Surface Area of Cuboid is denoted by LSA symbol.

How to calculate Lateral Surface Area of Cuboid given Space Diagonal, Height and Width using this online calculator? To use this online calculator for Lateral Surface Area of Cuboid given Space Diagonal, Height and Width, enter Height of Cuboid (h), Space Diagonal of Cuboid (d_Space) & Width of Cuboid (w) and hit the calculate button. Here is how the Lateral Surface Area of Cuboid given Space Diagonal, Height and Width calculation can be explained with given input values -> 295.8399 = 2*8*(sqrt(16^2-6^2-8^2)+6).

FAQ

What is Lateral Surface Area of Cuboid given Space Diagonal, Height and Width?

The Lateral Surface Area of Cuboid given Space Diagonal, Height and Width formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid, and is calculated using the space diagonal, width, and height of the Cuboid and is represented as LSA = 2*h*(sqrt(d_Space^2-w^2-h^2)+w) or Lateral Surface Area of Cuboid = 2*Height of Cuboid*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid). The Height of Cuboid is the vertical distance measured from base to the top of Cuboid, The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior 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 Lateral Surface Area of Cuboid given Space Diagonal, Height and Width?

The Lateral Surface Area of Cuboid given Space Diagonal, Height and Width formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid, and is calculated using the space diagonal, width, and height of the Cuboid is calculated using Lateral Surface Area of Cuboid = 2*Height of Cuboid*(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)+Width of Cuboid). To calculate Lateral Surface Area of Cuboid given Space Diagonal, Height and Width, you need Height of Cuboid (h), Space Diagonal of Cuboid (d_Space) & Width of Cuboid (w). With our tool, you need to enter the respective value for Height of Cuboid, Space Diagonal 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 Lateral Surface Area of Cuboid?

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

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

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