Total Surface Area of Half Cuboid Calculator

✖The Base Length of Half Cuboid is the length of any edge of the bottom square shaped face of the Half Cuboid.ⓘ Base Length of Half Cuboid [l_Base]			+10% -10%
✖The Half Height of Half Cuboid is the length of the pair of vertical edges that connects the obtuse angle corners of the rhombus face to the corners of the square face of the Half Cuboid.ⓘ Half Height of Half Cuboid [h_Half]			+10% -10%
✖The Slant Length of Half Cuboid is the length of any edge of the top rhombus shaped face of the Half Cuboid.ⓘ Slant Length of Half Cuboid [l_Slant]			+10% -10%
✖The Acute Angle of Half Cuboid is the pair of angles of the top rhombus shaped face of the Half Cuboid which is less than 90 degrees.ⓘ Acute Angle of Half Cuboid [∠_Acute]			+10% -10%

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

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Formula

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Total Surface Area of Half Cuboid

Formula

`"TSA" = "l"_{"Base"}^2+(4*"l"_{"Base"}*"h"_{"Half"})+("l"_{"Slant"}^2*sin("∠"_{"Acute"}))`

Example

`"379.1617m²"=("10m")^2+(4*"10m"*"4m")+(("11m")^2*sin("80°"))`

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Total Surface Area of Half Cuboid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Half Cuboid = Base Length of Half Cuboid^2+(4*Base Length of Half Cuboid*Half Height of Half Cuboid)+(Slant Length of Half Cuboid^2*sin(Acute Angle of Half Cuboid))
TSA = l_Base^2+(4*l_Base*h_Half)+(l_Slant^2*sin(∠_Acute))
This formula uses 1 Functions, 5 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Total Surface Area of Half Cuboid - (Measured in Square Meter) - The Total Surface Area of Half Cuboid is the quantity of plane enclosed on the entire surface of the Half Cuboid.
Base Length of Half Cuboid - (Measured in Meter) - The Base Length of Half Cuboid is the length of any edge of the bottom square shaped face of the Half Cuboid.
Half Height of Half Cuboid - (Measured in Meter) - The Half Height of Half Cuboid is the length of the pair of vertical edges that connects the obtuse angle corners of the rhombus face to the corners of the square face of the Half Cuboid.
Slant Length of Half Cuboid - (Measured in Meter) - The Slant Length of Half Cuboid is the length of any edge of the top rhombus shaped face of the Half Cuboid.
Acute Angle of Half Cuboid - (Measured in Radian) - The Acute Angle of Half Cuboid is the pair of angles of the top rhombus shaped face of the Half Cuboid which is less than 90 degrees.

STEP 1: Convert Input(s) to Base Unit

Base Length of Half Cuboid: 10 Meter --> 10 Meter No Conversion Required
Half Height of Half Cuboid: 4 Meter --> 4 Meter No Conversion Required
Slant Length of Half Cuboid: 11 Meter --> 11 Meter No Conversion Required
Acute Angle of Half Cuboid: 80 Degree --> 1.3962634015952 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = l_Base^2+(4*l_Base*h_Half)+(l_Slant^2*sin(∠_Acute)) --> 10^2+(4*10*4)+(11^2*sin(1.3962634015952))

Evaluating ... ...

TSA = 379.161738114472

STEP 3: Convert Result to Output's Unit

379.161738114472 Square Meter --> No Conversion Required

FINAL ANSWER

379.161738114472 ≈ 379.1617 Square Meter <-- Total Surface Area of Half Cuboid

(Calculation completed in 00.004 seconds)

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< 1 Surface Area of Half Cuboid Calculators

Total Surface Area of Half Cuboid

Go Total Surface Area of Half Cuboid = Base Length of Half Cuboid^2+(4*Base Length of Half Cuboid*Half Height of Half Cuboid)+(Slant Length of Half Cuboid^2*sin(Acute Angle of Half Cuboid))

Total Surface Area of Half Cuboid Formula

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 Half Cuboid?

Total Surface Area of Half Cuboid calculator uses Total Surface Area of Half Cuboid = Base Length of Half Cuboid^2+(4*Base Length of Half Cuboid*Half Height of Half Cuboid)+(Slant Length of Half Cuboid^2*sin(Acute Angle of Half Cuboid)) to calculate the Total Surface Area of Half Cuboid, The Total Surface Area of Half Cuboid formula is defined as the quantity of plane enclosed on the entire surface of the Half Cuboid. Total Surface Area of Half Cuboid is denoted by TSA symbol.

How to calculate Total Surface Area of Half Cuboid using this online calculator? To use this online calculator for Total Surface Area of Half Cuboid, enter Base Length of Half Cuboid (l_Base), Half Height of Half Cuboid (h_Half), Slant Length of Half Cuboid (l_Slant) & Acute Angle of Half Cuboid (∠_Acute) and hit the calculate button. Here is how the Total Surface Area of Half Cuboid calculation can be explained with given input values -> 379.1617 = 10^2+(4*10*4)+(11^2*sin(1.3962634015952)).

FAQ

What is Total Surface Area of Half Cuboid?

The Total Surface Area of Half Cuboid formula is defined as the quantity of plane enclosed on the entire surface of the Half Cuboid and is represented as TSA = l_Base^2+(4*l_Base*h_Half)+(l_Slant^2*sin(∠_Acute)) or Total Surface Area of Half Cuboid = Base Length of Half Cuboid^2+(4*Base Length of Half Cuboid*Half Height of Half Cuboid)+(Slant Length of Half Cuboid^2*sin(Acute Angle of Half Cuboid)). The Base Length of Half Cuboid is the length of any edge of the bottom square shaped face of the Half Cuboid, The Half Height of Half Cuboid is the length of the pair of vertical edges that connects the obtuse angle corners of the rhombus face to the corners of the square face of the Half Cuboid, The Slant Length of Half Cuboid is the length of any edge of the top rhombus shaped face of the Half Cuboid & The Acute Angle of Half Cuboid is the pair of angles of the top rhombus shaped face of the Half Cuboid which is less than 90 degrees.

How to calculate Total Surface Area of Half Cuboid?

The Total Surface Area of Half Cuboid formula is defined as the quantity of plane enclosed on the entire surface of the Half Cuboid is calculated using Total Surface Area of Half Cuboid = Base Length of Half Cuboid^2+(4*Base Length of Half Cuboid*Half Height of Half Cuboid)+(Slant Length of Half Cuboid^2*sin(Acute Angle of Half Cuboid)). To calculate Total Surface Area of Half Cuboid, you need Base Length of Half Cuboid (l_Base), Half Height of Half Cuboid (h_Half), Slant Length of Half Cuboid (l_Slant) & Acute Angle of Half Cuboid (∠_Acute). With our tool, you need to enter the respective value for Base Length of Half Cuboid, Half Height of Half Cuboid, Slant Length of Half Cuboid & Acute Angle of Half 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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