Volume of Obtuse Edged Cuboid given Inner Height and Cut Width Calculator

✖Inner Length of Obtuse Edged Cuboid is the length of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.ⓘ Inner Length of Obtuse Edged Cuboid [l_Inner]			+10% -10%
✖Inner Width of Obtuse Edged Cuboid is the width of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.ⓘ Inner Width of Obtuse Edged Cuboid [w_Inner]			+10% -10%
✖Inner Height of Obtuse Edged Cuboid is the height of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.ⓘ Inner Height of Obtuse Edged Cuboid [h_Inner]			+10% -10%
✖Cut Width of Obtuse Edged Cuboid is the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid.ⓘ Cut Width of Obtuse Edged Cuboid [w_Cut]			+10% -10%
✖Cuboidal Height of Obtuse Edged Cuboid is the vertical distance between top and bottom rectangular faces of the larger cuboid, of which edges are regularly cut to form the Obtuse Edged Cuboid.ⓘ Cuboidal Height of Obtuse Edged Cuboid [h_Cuboid]			+10% -10%

✖Volume of Obtuse Edged Cuboid is the amount of three dimensional space occupied by the Obtuse Edged Cuboid.ⓘ Volume of Obtuse Edged Cuboid given Inner Height and Cut Width [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Obtuse Edged Cuboid given Inner Height and Cut Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Obtuse Edged Cuboid = (Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid))+(((Cuboidal Height of Obtuse Edged Cuboid-Inner Height of Obtuse Edged Cuboid)/sqrt(2))^2*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*((Cut Width of Obtuse Edged Cuboid)^3))
V = (l_Inner*w_Inner*h_Inner)+sqrt(2)*w_Cut*((l_Inner*w_Inner)+(w_Inner*h_Inner)+(h_Inner*l_Inner))+(((h_Cuboid-h_Inner)/sqrt(2))^2*(l_Inner+w_Inner+h_Inner))+((4/(3*sqrt(2)))*((w_Cut)^3))
This formula uses 1 Functions, 6 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

Volume of Obtuse Edged Cuboid - (Measured in Cubic Meter) - Volume of Obtuse Edged Cuboid is the amount of three dimensional space occupied by the Obtuse Edged Cuboid.
Inner Length of Obtuse Edged Cuboid - (Measured in Meter) - Inner Length of Obtuse Edged Cuboid is the length of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.
Inner Width of Obtuse Edged Cuboid - (Measured in Meter) - Inner Width of Obtuse Edged Cuboid is the width of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.
Inner Height of Obtuse Edged Cuboid - (Measured in Meter) - Inner Height of Obtuse Edged Cuboid is the height of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.
Cut Width of Obtuse Edged Cuboid - (Measured in Meter) - Cut Width of Obtuse Edged Cuboid is the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid.
Cuboidal Height of Obtuse Edged Cuboid - (Measured in Meter) - Cuboidal Height of Obtuse Edged Cuboid is the vertical distance between top and bottom rectangular faces of the larger cuboid, of which edges are regularly cut to form the Obtuse Edged Cuboid.

STEP 1: Convert Input(s) to Base Unit

Inner Length of Obtuse Edged Cuboid: 8 Meter --> 8 Meter No Conversion Required
Inner Width of Obtuse Edged Cuboid: 6 Meter --> 6 Meter No Conversion Required
Inner Height of Obtuse Edged Cuboid: 11 Meter --> 11 Meter No Conversion Required
Cut Width of Obtuse Edged Cuboid: 3 Meter --> 3 Meter No Conversion Required
Cuboidal Height of Obtuse Edged Cuboid: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (l_Inner*w_Inner*h_Inner)+sqrt(2)*w_Cut*((l_Inner*w_Inner)+(w_Inner*h_Inner)+(h_Inner*l_Inner))+(((h_Cuboid-h_Inner)/sqrt(2))^2*(l_Inner+w_Inner+h_Inner))+((4/(3*sqrt(2)))*((w_Cut)^3)) --> (8*6*11)+sqrt(2)*3*((8*6)+(6*11)+(11*8))+(((15-11)/sqrt(2))^2*(8+6+11))+((4/(3*sqrt(2)))*((3)^3))

Evaluating ... ...

V = 1610.46926292081

STEP 3: Convert Result to Output's Unit

1610.46926292081 Cubic Meter --> No Conversion Required

FINAL ANSWER

1610.46926292081 ≈ 1610.469 Cubic Meter <-- Volume of Obtuse Edged Cuboid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Obtuse Edged Cuboid » Volume of Obtuse Edged Cuboid » Volume of Obtuse Edged Cuboid given Inner Height and Cut Width

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Volume of Obtuse Edged Cuboid Calculators

Volume of Obtuse Edged Cuboid given Inner Length and Cut Width

LaTeX Go Volume of Obtuse Edged Cuboid = (Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid))+(((Cuboidal Length of Obtuse Edged Cuboid-Inner Length of Obtuse Edged Cuboid)/sqrt(2))^2*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*((Cut Width of Obtuse Edged Cuboid)^3))

Volume of Obtuse Edged Cuboid given Inner Height and Cut Width

LaTeX Go Volume of Obtuse Edged Cuboid = (Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid))+(((Cuboidal Height of Obtuse Edged Cuboid-Inner Height of Obtuse Edged Cuboid)/sqrt(2))^2*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*((Cut Width of Obtuse Edged Cuboid)^3))

Volume of Obtuse Edged Cuboid given Inner Width and Cut Width

LaTeX Go Volume of Obtuse Edged Cuboid = (Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid))+(((Cuboidal Width of Obtuse Edged Cuboid-Inner Width of Obtuse Edged Cuboid)/sqrt(2))^2*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*((Cut Width of Obtuse Edged Cuboid)^3))

Volume of Obtuse Edged Cuboid

LaTeX Go Volume of Obtuse Edged Cuboid = (Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)))+((Cut Width of Obtuse Edged Cuboid^2)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3))

Volume of Obtuse Edged Cuboid given Inner Height and Cut Width Formula

LaTeX Go

What is Obtuse Edged Cuboid?

Obtuse Edged Cuboid is a cuboid with obtuse edges, a cuboid with regularly cut off edges. As surfaces, from the former rectangles smaller rectangles emerge and from the former edges rectangles with isosceles, right triangle attached at the ends emerge. The total volume is the volume of the inner cuboid plus the elevation of the inner cuboid faces to the former cuboid plus the inclined filled gaps at the former edge to the lengths of the smaller rectangles plus twice the eight corners (corner to the inside and the outside each).

How to Calculate Volume of Obtuse Edged Cuboid given Inner Height and Cut Width?

Volume of Obtuse Edged Cuboid given Inner Height and Cut Width calculator uses Volume of Obtuse Edged Cuboid = (Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid))+(((Cuboidal Height of Obtuse Edged Cuboid-Inner Height of Obtuse Edged Cuboid)/sqrt(2))^2*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*((Cut Width of Obtuse Edged Cuboid)^3)) to calculate the Volume of Obtuse Edged Cuboid, Volume of Obtuse Edged Cuboid given Inner Height and Cut Width formula is defined as amount of three dimensional space covered by Obtuse Edged Cuboid, calculated using inner height and cut width. Volume of Obtuse Edged Cuboid is denoted by V symbol.

How to calculate Volume of Obtuse Edged Cuboid given Inner Height and Cut Width using this online calculator? To use this online calculator for Volume of Obtuse Edged Cuboid given Inner Height and Cut Width, enter Inner Length of Obtuse Edged Cuboid (l_Inner), Inner Width of Obtuse Edged Cuboid (w_Inner), Inner Height of Obtuse Edged Cuboid (h_Inner), Cut Width of Obtuse Edged Cuboid (w_Cut) & Cuboidal Height of Obtuse Edged Cuboid (h_Cuboid) and hit the calculate button. Here is how the Volume of Obtuse Edged Cuboid given Inner Height and Cut Width calculation can be explained with given input values -> 1610.469 = (8*6*11)+sqrt(2)*3*((8*6)+(6*11)+(11*8))+(((15-11)/sqrt(2))^2*(8+6+11))+((4/(3*sqrt(2)))*((3)^3)).

FAQ

What is Volume of Obtuse Edged Cuboid given Inner Height and Cut Width?

Volume of Obtuse Edged Cuboid given Inner Height and Cut Width formula is defined as amount of three dimensional space covered by Obtuse Edged Cuboid, calculated using inner height and cut width and is represented as V = (l_Inner*w_Inner*h_Inner)+sqrt(2)*w_Cut*((l_Inner*w_Inner)+(w_Inner*h_Inner)+(h_Inner*l_Inner))+(((h_Cuboid-h_Inner)/sqrt(2))^2*(l_Inner+w_Inner+h_Inner))+((4/(3*sqrt(2)))*((w_Cut)^3)) or Volume of Obtuse Edged Cuboid = (Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid))+(((Cuboidal Height of Obtuse Edged Cuboid-Inner Height of Obtuse Edged Cuboid)/sqrt(2))^2*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*((Cut Width of Obtuse Edged Cuboid)^3)). Inner Length of Obtuse Edged Cuboid is the length of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid, Inner Width of Obtuse Edged Cuboid is the width of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid, Inner Height of Obtuse Edged Cuboid is the height of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid, Cut Width of Obtuse Edged Cuboid is the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid & Cuboidal Height of Obtuse Edged Cuboid is the vertical distance between top and bottom rectangular faces of the larger cuboid, of which edges are regularly cut to form the Obtuse Edged Cuboid.

How to calculate Volume of Obtuse Edged Cuboid given Inner Height and Cut Width?

Volume of Obtuse Edged Cuboid given Inner Height and Cut Width formula is defined as amount of three dimensional space covered by Obtuse Edged Cuboid, calculated using inner height and cut width is calculated using Volume of Obtuse Edged Cuboid = (Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid))+(((Cuboidal Height of Obtuse Edged Cuboid-Inner Height of Obtuse Edged Cuboid)/sqrt(2))^2*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*((Cut Width of Obtuse Edged Cuboid)^3)). To calculate Volume of Obtuse Edged Cuboid given Inner Height and Cut Width, you need Inner Length of Obtuse Edged Cuboid (l_Inner), Inner Width of Obtuse Edged Cuboid (w_Inner), Inner Height of Obtuse Edged Cuboid (h_Inner), Cut Width of Obtuse Edged Cuboid (w_Cut) & Cuboidal Height of Obtuse Edged Cuboid (h_Cuboid). With our tool, you need to enter the respective value for Inner Length of Obtuse Edged Cuboid, Inner Width of Obtuse Edged Cuboid, Inner Height of Obtuse Edged Cuboid, Cut Width of Obtuse Edged Cuboid & Cuboidal Height of Obtuse Edged 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 Volume of Obtuse Edged Cuboid?

In this formula, Volume of Obtuse Edged Cuboid uses Inner Length of Obtuse Edged Cuboid, Inner Width of Obtuse Edged Cuboid, Inner Height of Obtuse Edged Cuboid, Cut Width of Obtuse Edged Cuboid & Cuboidal Height of Obtuse Edged Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Obtuse Edged Cuboid = (Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)))+((Cut Width of Obtuse Edged Cuboid^2)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3))
Volume of Obtuse Edged Cuboid = (Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid))+(((Cuboidal Length of Obtuse Edged Cuboid-Inner Length of Obtuse Edged Cuboid)/sqrt(2))^2*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*((Cut Width of Obtuse Edged Cuboid)^3))
Volume of Obtuse Edged Cuboid = (Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid))+(((Cuboidal Width of Obtuse Edged Cuboid-Inner Width of Obtuse Edged Cuboid)/sqrt(2))^2*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*((Cut Width of Obtuse Edged Cuboid)^3))

Home

FREE PDFs

🔍 Search