FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Total Surface Area of Truncated Cuboid Formula

Fx Copy

LaTeX Copy

The Total Surface Area of Truncated Cuboid is the quantity of plane enclosed by the entire surface of the Truncated Cuboid. Check FAQs

TSA = l \cdot (h + w + h Short + l e(Inclined) + w Short) + (2 \cdot h \cdot w) - ((h - h Short) \cdot (w - w Short))

TSA - Total Surface Area of Truncated Cuboid?l - Length of Truncated Cuboid?h - Height of Truncated Cuboid?w - Width of Truncated Cuboid?h_Short - Shortened Height of Truncated Cuboid?l_e(Inclined) - Inclined Edge of Truncated Cuboid?w_Short - Shortened Width of Truncated Cuboid?

Total Surface Area of Truncated Cuboid Example

With values

With units

Only example

Here is how the Total Surface Area of Truncated Cuboid equation looks like with Values.

Here is how the Total Surface Area of Truncated Cuboid equation looks like with Units.

Here is how the Total Surface Area of Truncated Cuboid equation looks like.

1318 = 20 \cdot (15 + 12 + 8 + 9 + 6) + (2 \cdot 15 \cdot 12) - ((15 - 8) \cdot (12 - 6))

1318m² = 20m \cdot (15m + 12m + 8m + 9m + 6m) + (2 \cdot 15m \cdot 12m) - ((15m - 8m) \cdot (12m - 6m))

1318 = 20 \cdot (15 + 12 + 8 + 9 + 6) + (2 \cdot 15 \cdot 12) - ((15 - 8) \cdot (12 - 6))

Tip: Use pencil () icon above to edit Input Values and Units.

Solution

Copy

Share

You are here -

Home » Math » Geometry » 3D Geometry » Total Surface Area of Truncated Cuboid

Total Surface Area of Truncated Cuboid Solution

Follow our step by step solution on how to calculate Total Surface Area of Truncated Cuboid?

FIRST Step Consider the formula

TSA = l \cdot (h + w + h Short + l e(Inclined) + w Short) + (2 \cdot h \cdot w) - ((h - h Short) \cdot (w - w Short))

Next Step Substitute values of Variables

∴

TSA = 20m \cdot (15m + 12m + 8m + 9m + 6m) + (2 \cdot 15m \cdot 12m) - ((15m - 8m) \cdot (12m - 6m))

Next Step Prepare to Evaluate

∴

TSA = 20 \cdot (15 + 12 + 8 + 9 + 6) + (2 \cdot 15 \cdot 12) - ((15 - 8) \cdot (12 - 6))

LAST Step Evaluate

∴

TSA = 1318m²

Total Surface Area of Truncated Cuboid Formula Elements

Variables

Total Surface Area of Truncated Cuboid

The Total Surface Area of Truncated Cuboid is the quantity of plane enclosed by the entire surface of the Truncated Cuboid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Length 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.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Height of Truncated Cuboid

The Height of Truncated Cuboid is the vertical distance measured from base to the top of Truncated Cuboid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Width 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.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Shortened Height of Truncated Cuboid

The Shortened Height of Truncated Cuboid is the distance of the shortened part parallel to the height of Truncated Cuboid.

Symbol: h_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Inclined Edge 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.

Symbol: l_e(Inclined)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Shortened Width of Truncated Cuboid

The Shortened Width of Truncated Cuboid is the distance of the shortened part parallel to the width of Truncated Cuboid.

Symbol: w_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Credits

Creator Image

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Formula and 2000+ more formulas!

Verifier Image

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Formula and 300+ more formulas!

Other formulas in Truncated Cuboid category

Go Inclined Edge of Truncated Cuboid

l e(Inclined) = \sqrt{{(h - h Short)}^{2} + {(w - w Short)}^{2}}

Go Volume of Truncated Cuboid

V = (l \cdot h \cdot w) - ((h - h Short) \cdot (w - w Short) \cdot \frac{l}{2})

How to Evaluate Total Surface Area of Truncated Cuboid?

Total Surface Area of Truncated Cuboid evaluator 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 evaluate 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 evaluate Total Surface Area of Truncated Cuboid using this online evaluator? To use this online evaluator 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.

FAQs on Total Surface Area of Truncated Cuboid

What is the formula to find Total Surface Area of Truncated Cuboid?

The formula of Total Surface Area of Truncated Cuboid is expressed as 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)). Here is an example- 1318 = 20*(15+12+8+9+6)+(2*15*12)-((15-8)*(12-6)).

How to calculate Total Surface Area of Truncated Cuboid?

With 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) we can find Total Surface Area of Truncated Cuboid using the formula - 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)).

Can the Total Surface Area of Truncated Cuboid be negative?

No, the Total Surface Area of Truncated Cuboid, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Truncated Cuboid?

Total Surface Area of Truncated Cuboid is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Truncated Cuboid can be measured.

Spanish French German Russian Italian Portuguese Polish Dutch

© 2024-2026. Developed & Maintained by softUsvista Inc.

Let Others Know

✖

WhatsApp

Copied!