Total Surface Area of Truncated Cuboid Calculator

✖The Length of Truncated Cuboid is any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of Truncated Cuboid.ⓘ Length of Truncated Cuboid [l]			+10% -10%
✖The Height of Truncated Cuboid is the vertical distance measured from base to the top of Truncated Cuboid.ⓘ Height of Truncated Cuboid [h]			+10% -10%
✖The Width of Truncated Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Truncated Cuboid.ⓘ Width of Truncated Cuboid [w]			+10% -10%
✖The Shortened Height of Truncated Cuboid is the distance of the shortened part parallel to the height of Truncated Cuboid.ⓘ Shortened Height of Truncated Cuboid [h_Short]			+10% -10%
✖The Inclined Edge of Truncated Cuboid is the length of the inclined edge connecting the two perpendicular faces of the Truncated Cuboid.ⓘ Inclined Edge of Truncated Cuboid [l_e(Inclined)]			+10% -10%
✖The Shortened Width of Truncated Cuboid is the distance of the shortened part parallel to the width of Truncated Cuboid.ⓘ Shortened Width of Truncated Cuboid [w_Short]			+10% -10%

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

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Formula

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Total Surface Area of Truncated Cuboid

Formula

`"TSA" = "l"*("h"+"w"+"h"_{"Short"}+"l"_{"e(Inclined)"}+"w"_{"Short"})+(2*"h"*"w")-(("h"-"h"_{"Short"})*("w"-"w"_{"Short"}))`

Example

`"1318m²"="20m"*("15m"+"12m"+"8m"+"9m"+"6m")+(2*"15m"*"12m")-(("15m"-"8m")*("12m"-"6m"))`

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Total Surface Area of Truncated Cuboid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Truncated Cuboid = Length of Truncated Cuboid*(Height of Truncated Cuboid+Width of Truncated Cuboid+Shortened Height of Truncated Cuboid+Inclined Edge of Truncated Cuboid+Shortened Width of Truncated Cuboid)+(2*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid))
TSA = l*(h+w+h_Short+l_e(Inclined)+w_Short)+(2*h*w)-((h-h_Short)*(w-w_Short))
This formula uses 7 Variables

Variables Used

Total Surface Area of Truncated Cuboid - (Measured in Square Meter) - The Total Surface Area of Truncated Cuboid is the quantity of plane enclosed by the entire surface of the Truncated Cuboid.
Length of Truncated Cuboid - (Measured in Meter) - The Length of Truncated Cuboid is any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of Truncated Cuboid.
Height of Truncated Cuboid - (Measured in Meter) - The Height of Truncated Cuboid is the vertical distance measured from base to the top of Truncated Cuboid.
Width of Truncated Cuboid - (Measured in Meter) - The Width of Truncated Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Truncated Cuboid.
Shortened Height of Truncated Cuboid - (Measured in Meter) - The Shortened Height of Truncated Cuboid is the distance of the shortened part parallel to the height of Truncated Cuboid.
Inclined Edge of Truncated Cuboid - (Measured in Meter) - The Inclined Edge of Truncated Cuboid is the length of the inclined edge connecting the two perpendicular faces of the Truncated Cuboid.
Shortened Width of Truncated Cuboid - (Measured in Meter) - The Shortened Width of Truncated Cuboid is the distance of the shortened part parallel to the width of Truncated Cuboid.

STEP 1: Convert Input(s) to Base Unit

Length of Truncated Cuboid: 20 Meter --> 20 Meter No Conversion Required
Height of Truncated Cuboid: 15 Meter --> 15 Meter No Conversion Required
Width of Truncated Cuboid: 12 Meter --> 12 Meter No Conversion Required
Shortened Height of Truncated Cuboid: 8 Meter --> 8 Meter No Conversion Required
Inclined Edge of Truncated Cuboid: 9 Meter --> 9 Meter No Conversion Required
Shortened Width of Truncated Cuboid: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = l*(h+w+h_Short+l_e(Inclined)+w_Short)+(2*h*w)-((h-h_Short)*(w-w_Short)) --> 20*(15+12+8+9+6)+(2*15*12)-((15-8)*(12-6))

Evaluating ... ...

TSA = 1318

STEP 3: Convert Result to Output's Unit

1318 Square Meter --> No Conversion Required

FINAL ANSWER

1318 Square Meter <-- Total Surface Area of Truncated Cuboid

(Calculation completed in 00.004 seconds)

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< 3 Truncated Cuboid Calculators

Total Surface Area of Truncated Cuboid

Go Total Surface Area of Truncated Cuboid = Length of Truncated Cuboid*(Height of Truncated Cuboid+Width of Truncated Cuboid+Shortened Height of Truncated Cuboid+Inclined Edge of Truncated Cuboid+Shortened Width of Truncated Cuboid)+(2*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid))

Volume of Truncated Cuboid

Go Volume of Truncated Cuboid = (Length of Truncated Cuboid*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)*Length of Truncated Cuboid/2)

Inclined Edge of Truncated Cuboid

Go Inclined Edge of Truncated Cuboid = sqrt((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)^2+(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)^2)

Total Surface Area of Truncated Cuboid Formula

What is a Truncated Cuboid?

A Truncated Cuboid is convex polyhedron bounded by six quadrilateral faces with one edge cut off straight. In Truncated Cuboid, the longest edge, i.e., length is truncated, thereby the adjacent edges height and width here are shortened. For a cuboid with every edge truncated, see obtuse edged cuboid.

How to Calculate Total Surface Area of Truncated Cuboid?

Total Surface Area of Truncated Cuboid calculator uses Total Surface Area of Truncated Cuboid = Length of Truncated Cuboid*(Height of Truncated Cuboid+Width of Truncated Cuboid+Shortened Height of Truncated Cuboid+Inclined Edge of Truncated Cuboid+Shortened Width of Truncated Cuboid)+(2*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)) to calculate the Total Surface Area of Truncated Cuboid, The Total Surface Area of Truncated Cuboid formula is defined as the quantity of plane enclosed by the entire surface of the Truncated Cuboid. Total Surface Area of Truncated Cuboid is denoted by TSA symbol.

How to calculate Total Surface Area of Truncated Cuboid using this online calculator? To use this online calculator for Total Surface Area of Truncated Cuboid, enter Length of Truncated Cuboid (l), Height of Truncated Cuboid (h), Width of Truncated Cuboid (w), Shortened Height of Truncated Cuboid (h_Short), Inclined Edge of Truncated Cuboid (l_e(Inclined)) & Shortened Width of Truncated Cuboid (w_Short) and hit the calculate button. Here is how the Total Surface Area of Truncated Cuboid calculation can be explained with given input values -> 1318 = 20*(15+12+8+9+6)+(2*15*12)-((15-8)*(12-6)).

FAQ

What is Total Surface Area of Truncated Cuboid?

The Total Surface Area of Truncated Cuboid formula is defined as the quantity of plane enclosed by the entire surface of the Truncated Cuboid and is represented as TSA = l*(h+w+h_Short+l_e(Inclined)+w_Short)+(2*h*w)-((h-h_Short)*(w-w_Short)) or Total Surface Area of Truncated Cuboid = Length of Truncated Cuboid*(Height of Truncated Cuboid+Width of Truncated Cuboid+Shortened Height of Truncated Cuboid+Inclined Edge of Truncated Cuboid+Shortened Width of Truncated Cuboid)+(2*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)). The Length of Truncated Cuboid is any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of Truncated Cuboid, The Height of Truncated Cuboid is the vertical distance measured from base to the top of Truncated Cuboid, The Width of Truncated Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Truncated Cuboid, The Shortened Height of Truncated Cuboid is the distance of the shortened part parallel to the height of Truncated Cuboid, The Inclined Edge of Truncated Cuboid is the length of the inclined edge connecting the two perpendicular faces of the Truncated Cuboid & The Shortened Width of Truncated Cuboid is the distance of the shortened part parallel to the width of Truncated Cuboid.

How to calculate Total Surface Area of Truncated Cuboid?

The Total Surface Area of Truncated Cuboid formula is defined as the quantity of plane enclosed by the entire surface of the Truncated Cuboid is calculated using Total Surface Area of Truncated Cuboid = Length of Truncated Cuboid*(Height of Truncated Cuboid+Width of Truncated Cuboid+Shortened Height of Truncated Cuboid+Inclined Edge of Truncated Cuboid+Shortened Width of Truncated Cuboid)+(2*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)). To calculate Total Surface Area of Truncated Cuboid, you need Length of Truncated Cuboid (l), Height of Truncated Cuboid (h), Width of Truncated Cuboid (w), Shortened Height of Truncated Cuboid (h_Short), Inclined Edge of Truncated Cuboid (l_e(Inclined)) & Shortened Width of Truncated Cuboid (w_Short). With our tool, you need to enter the respective value for Length of Truncated Cuboid, Height of Truncated Cuboid, Width of Truncated Cuboid, Shortened Height of Truncated Cuboid, Inclined Edge of Truncated Cuboid & Shortened Width of Truncated Cuboid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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