Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Small Rectangle of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
lSmall = sqrt(d1(Medium)^2-wLarge^2-h^2)
This formula uses 1 Functions, 4 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
Length of Small Rectangle of Skewed Cuboid - (Measured in Meter) - The Length of Small Rectangle of Skewed Cuboid is the length of the longer edge of the smaller rectangular top surface face of Skewed Cuboid.
First Medium Diagonal of Skewed Cuboid - (Measured in Meter) - The First Medium Diagonal of Skewed Cuboid is the length of the first medium-sized diagonal joining two non-adjacent vertices across the two sides of the Skewed Cuboid.
Width of Large Rectangle of Skewed Cuboid - (Measured in Meter) - The Width of Large Rectangle of Skewed Cuboid is the length of the shorter edge of the larger rectangular base surface of Skewed Cuboid.
Height of Skewed Cuboid - (Measured in Meter) - The Height of Skewed Cuboid is the vertical distance measured from base to the top of Skewed Cuboid.
STEP 1: Convert Input(s) to Base Unit
First Medium Diagonal of Skewed Cuboid: 19 Meter --> 19 Meter No Conversion Required
Width of Large Rectangle of Skewed Cuboid: 15 Meter --> 15 Meter No Conversion Required
Height of Skewed Cuboid: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lSmall = sqrt(d1(Medium)^2-wLarge^2-h^2) --> sqrt(19^2-15^2-10^2)
Evaluating ... ...
lSmall = 6
STEP 3: Convert Result to Output's Unit
6 Meter --> No Conversion Required
FINAL ANSWER
6 Meter <-- Length of Small Rectangle of Skewed Cuboid
(Calculation completed in 00.007 seconds)

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St Joseph's College (SJC), Bengaluru
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Length of Small Rectangle of Skewed Cuboid Calculators

Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal
​ LaTeX ​ Go Length of Small Rectangle of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
Length of Small Rectangle of Skewed Cuboid given Short Diagonal
​ LaTeX ​ Go Length of Small Rectangle of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
Length of Small Rectangle of Skewed Cuboid given Back Face Area
​ LaTeX ​ Go Length of Small Rectangle of Skewed Cuboid = (2*Back Face Area of Skewed Cuboid)/Height of Skewed Cuboid-Length of Large Rectangle of Skewed Cuboid
Length of Small Rectangle of Skewed Cuboid given Top Face Area
​ LaTeX ​ Go Length of Small Rectangle of Skewed Cuboid = Top Face Area of Skewed Cuboid/Width of Small Rectangle of Skewed Cuboid

Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal Formula

​LaTeX ​Go
Length of Small Rectangle of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
lSmall = sqrt(d1(Medium)^2-wLarge^2-h^2)

What is a Skewed Cuboid?

A Skewed Cuboid is a hexahedron with two opposite rectangles, where one vertex is right above the other. One of the rectangles (here the bottom) has length and width larger or equal than the other. Other faces are right trapezoids. Front and right face are skewed. The volume is calculated from the cuboid of the smaller rectangle, two ramps and one corner.

How to Calculate Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal?

Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal calculator uses Length of Small Rectangle of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2) to calculate the Length of Small Rectangle of Skewed Cuboid, The Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal formula is defined as the length of the longer edge of the smaller rectangular top surface face of Skewed Cuboid, and calculated using the first medium diagonal of Skewed Cuboid. Length of Small Rectangle of Skewed Cuboid is denoted by lSmall symbol.

How to calculate Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal using this online calculator? To use this online calculator for Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal, enter First Medium Diagonal of Skewed Cuboid (d1(Medium)), Width of Large Rectangle of Skewed Cuboid (wLarge) & Height of Skewed Cuboid (h) and hit the calculate button. Here is how the Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal calculation can be explained with given input values -> 6 = sqrt(19^2-15^2-10^2).

FAQ

What is Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal?
The Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal formula is defined as the length of the longer edge of the smaller rectangular top surface face of Skewed Cuboid, and calculated using the first medium diagonal of Skewed Cuboid and is represented as lSmall = sqrt(d1(Medium)^2-wLarge^2-h^2) or Length of Small Rectangle of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2). The First Medium Diagonal of Skewed Cuboid is the length of the first medium-sized diagonal joining two non-adjacent vertices across the two sides of the Skewed Cuboid, The Width of Large Rectangle of Skewed Cuboid is the length of the shorter edge of the larger rectangular base surface of Skewed Cuboid & The Height of Skewed Cuboid is the vertical distance measured from base to the top of Skewed Cuboid.
How to calculate Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal?
The Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal formula is defined as the length of the longer edge of the smaller rectangular top surface face of Skewed Cuboid, and calculated using the first medium diagonal of Skewed Cuboid is calculated using Length of Small Rectangle of Skewed Cuboid = sqrt(First Medium Diagonal of Skewed Cuboid^2-Width of Large Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2). To calculate Length of Small Rectangle of Skewed Cuboid given First Medium Diagonal, you need First Medium Diagonal of Skewed Cuboid (d1(Medium)), Width of Large Rectangle of Skewed Cuboid (wLarge) & Height of Skewed Cuboid (h). With our tool, you need to enter the respective value for First Medium Diagonal of Skewed Cuboid, Width of Large Rectangle of Skewed Cuboid & Height of Skewed 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 Length of Small Rectangle of Skewed Cuboid?
In this formula, Length of Small Rectangle of Skewed Cuboid uses First Medium Diagonal of Skewed Cuboid, Width of Large Rectangle of Skewed Cuboid & Height of Skewed Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Length of Small Rectangle of Skewed Cuboid = sqrt(Short Diagonal of Skewed Cuboid^2-Width of Small Rectangle of Skewed Cuboid^2-Height of Skewed Cuboid^2)
  • Length of Small Rectangle of Skewed Cuboid = Top Face Area of Skewed Cuboid/Width of Small Rectangle of Skewed Cuboid
  • Length of Small Rectangle of Skewed Cuboid = (2*Back Face Area of Skewed Cuboid)/Height of Skewed Cuboid-Length of Large Rectangle of Skewed Cuboid
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