Height of Cut Cuboid given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Cut Cuboid = (Volume of Cut Cuboid+((Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6))/(Length of Cut Cuboid*Width of Cut Cuboid)
h = (V+((lMissing*hMissing*wMissing)/6))/(l*w)
This formula uses 7 Variables
Variables Used
Height of Cut Cuboid - (Measured in Meter) - The Height of Cut Cuboid is the vertical distance measured from base to the top of Cut Cuboid.
Volume of Cut Cuboid - (Measured in Cubic Meter) - The Volume of Cut Cuboid is the total quantity of three dimensional space enclosed by the surface of a Cut Cuboid.
Missing Length of Cut Cuboid - (Measured in Meter) - The Missing Length of Cut Cuboid is the part which is missing on the cutoff portion of length of Cut Cuboid.
Missing Height of Cut Cuboid - (Measured in Meter) - The Missing Height of Cut Cuboid is the part which is missing on the cutoff portion of height of Cut Cuboid.
Missing Width of Cut Cuboid - (Measured in Meter) - The Missing Width of Cut Cuboid is the part which is missing on the cutoff portion of width of Cut Cuboid.
Length of Cut Cuboid - (Measured in Meter) - The Length of Cut Cuboid is any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of Cut Cuboid.
Width of Cut Cuboid - (Measured in Meter) - The Width of Cut Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cut Cuboid.
STEP 1: Convert Input(s) to Base Unit
Volume of Cut Cuboid: 7450 Cubic Meter --> 7450 Cubic Meter No Conversion Required
Missing Length of Cut Cuboid: 6 Meter --> 6 Meter No Conversion Required
Missing Height of Cut Cuboid: 4 Meter --> 4 Meter No Conversion Required
Missing Width of Cut Cuboid: 7 Meter --> 7 Meter No Conversion Required
Length of Cut Cuboid: 25 Meter --> 25 Meter No Conversion Required
Width of Cut Cuboid: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (V+((lMissing*hMissing*wMissing)/6))/(l*w) --> (7450+((6*4*7)/6))/(25*20)
Evaluating ... ...
h = 14.956
STEP 3: Convert Result to Output's Unit
14.956 Meter --> No Conversion Required
FINAL ANSWER
14.956 Meter <-- Height of Cut Cuboid
(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru
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4 Height of Cut Cuboid Calculators

Height of Cut Cuboid given Volume
Go Height of Cut Cuboid = (Volume of Cut Cuboid+((Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6))/(Length of Cut Cuboid*Width of Cut Cuboid)
Height of Cut Cuboid given Length to Height Slant Line
Go Height of Cut Cuboid = sqrt(LH Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2)+Residual Height of Cut Cuboid
Height of Cut Cuboid given Width to Height Slant Line
Go Height of Cut Cuboid = sqrt(WH Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)+Residual Height of Cut Cuboid
Height of Cut Cuboid
Go Height of Cut Cuboid = Residual Height of Cut Cuboid+Missing Height of Cut Cuboid

Height of Cut Cuboid given Volume Formula

Height of Cut Cuboid = (Volume of Cut Cuboid+((Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6))/(Length of Cut Cuboid*Width of Cut Cuboid)
h = (V+((lMissing*hMissing*wMissing)/6))/(l*w)

What is a Cut Cuboid?

A Cut Cuboid, is a cuboid (a convex polyhedron bounded by six quadrilateral faces) with a corner cut off. It has 7 faces, 15 edges, 10 vertices. The faces are 3 rectangles, 3 cut rectangles, 1 triangle.

How to Calculate Height of Cut Cuboid given Volume?

Height of Cut Cuboid given Volume calculator uses Height of Cut Cuboid = (Volume of Cut Cuboid+((Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6))/(Length of Cut Cuboid*Width of Cut Cuboid) to calculate the Height of Cut Cuboid, The Height of Cut Cuboid given Volume formula is defined as the vertical distance measured from base to the top of Cut Cuboid, and calculated using the volume of Cut Cuboid. Height of Cut Cuboid is denoted by h symbol.

How to calculate Height of Cut Cuboid given Volume using this online calculator? To use this online calculator for Height of Cut Cuboid given Volume, enter Volume of Cut Cuboid (V), Missing Length of Cut Cuboid (lMissing), Missing Height of Cut Cuboid (hMissing), Missing Width of Cut Cuboid (wMissing), Length of Cut Cuboid (l) & Width of Cut Cuboid (w) and hit the calculate button. Here is how the Height of Cut Cuboid given Volume calculation can be explained with given input values -> 14.956 = (7450+((6*4*7)/6))/(25*20).

FAQ

What is Height of Cut Cuboid given Volume?
The Height of Cut Cuboid given Volume formula is defined as the vertical distance measured from base to the top of Cut Cuboid, and calculated using the volume of Cut Cuboid and is represented as h = (V+((lMissing*hMissing*wMissing)/6))/(l*w) or Height of Cut Cuboid = (Volume of Cut Cuboid+((Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6))/(Length of Cut Cuboid*Width of Cut Cuboid). The Volume of Cut Cuboid is the total quantity of three dimensional space enclosed by the surface of a Cut Cuboid, The Missing Length of Cut Cuboid is the part which is missing on the cutoff portion of length of Cut Cuboid, The Missing Height of Cut Cuboid is the part which is missing on the cutoff portion of height of Cut Cuboid, The Missing Width of Cut Cuboid is the part which is missing on the cutoff portion of width of Cut Cuboid, The Length of Cut Cuboid is any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of Cut Cuboid & The Width of Cut Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cut Cuboid.
How to calculate Height of Cut Cuboid given Volume?
The Height of Cut Cuboid given Volume formula is defined as the vertical distance measured from base to the top of Cut Cuboid, and calculated using the volume of Cut Cuboid is calculated using Height of Cut Cuboid = (Volume of Cut Cuboid+((Missing Length of Cut Cuboid*Missing Height of Cut Cuboid*Missing Width of Cut Cuboid)/6))/(Length of Cut Cuboid*Width of Cut Cuboid). To calculate Height of Cut Cuboid given Volume, you need Volume of Cut Cuboid (V), Missing Length of Cut Cuboid (lMissing), Missing Height of Cut Cuboid (hMissing), Missing Width of Cut Cuboid (wMissing), Length of Cut Cuboid (l) & Width of Cut Cuboid (w). With our tool, you need to enter the respective value for Volume of Cut Cuboid, Missing Length of Cut Cuboid, Missing Height of Cut Cuboid, Missing Width of Cut Cuboid, Length of Cut Cuboid & Width of Cut 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 Height of Cut Cuboid?
In this formula, Height of Cut Cuboid uses Volume of Cut Cuboid, Missing Length of Cut Cuboid, Missing Height of Cut Cuboid, Missing Width of Cut Cuboid, Length of Cut Cuboid & Width of Cut Cuboid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Height of Cut Cuboid = Residual Height of Cut Cuboid+Missing Height of Cut Cuboid
  • Height of Cut Cuboid = sqrt(LH Slant Line of Cut Cuboid^2-Missing Length of Cut Cuboid^2)+Residual Height of Cut Cuboid
  • Height of Cut Cuboid = sqrt(WH Slant Line of Cut Cuboid^2-Missing Width of Cut Cuboid^2)+Residual Height of Cut Cuboid
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