Credits

Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 1000+ more calculators!
St Joseph's College (St Joseph's College), Bengaluru
Mona Gladys has verified this Calculator and 500+ more calculators!

Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h) Solution

STEP 0: Pre-Calculation Summary
Formula Used
area_polyhedron = ((Side A*Side B)/2)+((Side B*Side C)/2)+((Side A*Side C)/2)+((Side A*Side B*Side C)/(2*Height))
A = ((a*b)/2)+((b*c)/2)+((a*c)/2)+((a*b*c)/(2*h))
This formula uses 4 Variables
Variables Used
Side A - Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Side B - Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Side C - Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
Side B: 7 Meter --> 7 Meter No Conversion Required
Side C: 4 Meter --> 4 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = ((a*b)/2)+((b*c)/2)+((a*c)/2)+((a*b*c)/(2*h)) --> ((8*7)/2)+((7*4)/2)+((8*4)/2)+((8*7*4)/(2*12))
Evaluating ... ...
A = 67.3333333333333
STEP 3: Convert Result to Output's Unit
67.3333333333333 Square Meter --> No Conversion Required
FINAL ANSWER
67.3333333333333 Square Meter <-- area polyhedron
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Area of a Square when side is given
area = (Side A)^2 Go

4 Other formulas that calculate the same Output

Surface area (A) of Corner of a Cube when Edge length a is missing
area_polyhedron = ((Side B*Side C)/2)+(3*Volume/Side C)+(3*Volume/Side B)+(3*Volume/Height) Go
Surface area (A) of Corner of a Cube when Edge length b is missing
area_polyhedron = ((Side A*Side C)/2)+(3*Volume/Side C)+(3*Volume/Side A)+(3*Volume/Height) Go
Surface area (A) of Corner of a Cube when Edge length c is missing
area_polyhedron = ((Side B*Side A)/2)+(3*Volume/Side A)+(3*Volume/Side B)+(3*Volume/Height) Go
Surface area (A) of Skewed Three-Edged Prism
area_polyhedron = Area of cross section at the inlet+Area of cross section at the Throat+area 3 +area 4+area 5 Go

Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h) Formula

area_polyhedron = ((Side A*Side B)/2)+((Side B*Side C)/2)+((Side A*Side C)/2)+((Side A*Side B*Side C)/(2*Height))
A = ((a*b)/2)+((b*c)/2)+((a*c)/2)+((a*b*c)/(2*h))

What is Polyhedron?

In geometry, a polyhedron is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices. The word polyhedron comes from the Classical Greek πολύεδρον, as polyhedron. A convex polyhedron is the convex hull of finitely many points, not all on the same plane.

How to Calculate Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h)?

Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h) calculator uses area_polyhedron = ((Side A*Side B)/2)+((Side B*Side C)/2)+((Side A*Side C)/2)+((Side A*Side B*Side C)/(2*Height)) to calculate the area polyhedron, The Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h) formula is defined as amount of space covered by corner of cube in given plane. area polyhedron and is denoted by A symbol.

How to calculate Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h) using this online calculator? To use this online calculator for Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h), enter Side A (a), Side B (b), Side C (c) and Height (h) and hit the calculate button. Here is how the Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h) calculation can be explained with given input values -> 67.33333 = ((8*7)/2)+((7*4)/2)+((8*4)/2)+((8*7*4)/(2*12)).

FAQ

What is Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h)?
The Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h) formula is defined as amount of space covered by corner of cube in given plane and is represented as A = ((a*b)/2)+((b*c)/2)+((a*c)/2)+((a*b*c)/(2*h)) or area_polyhedron = ((Side A*Side B)/2)+((Side B*Side C)/2)+((Side A*Side C)/2)+((Side A*Side B*Side C)/(2*Height)). Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back, Side B is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back, Side C is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back and Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h)?
The Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h) formula is defined as amount of space covered by corner of cube in given plane is calculated using area_polyhedron = ((Side A*Side B)/2)+((Side B*Side C)/2)+((Side A*Side C)/2)+((Side A*Side B*Side C)/(2*Height)). To calculate Surface area (A) of Corner of a Cube given Edge length a,Edge length b,Edge length c,Height (h), you need Side A (a), Side B (b), Side C (c) and Height (h). With our tool, you need to enter the respective value for Side A, Side B, Side C and Height 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 area polyhedron?
In this formula, area polyhedron uses Side A, Side B, Side C and Height. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • area_polyhedron = ((Side B*Side C)/2)+(3*Volume/Side C)+(3*Volume/Side B)+(3*Volume/Height)
  • area_polyhedron = ((Side A*Side C)/2)+(3*Volume/Side C)+(3*Volume/Side A)+(3*Volume/Height)
  • area_polyhedron = ((Side B*Side A)/2)+(3*Volume/Side A)+(3*Volume/Side B)+(3*Volume/Height)
  • area_polyhedron = Area of cross section at the inlet+Area of cross section at the Throat+area 3 +area 4+area 5
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!