Half Height of Half Cuboid given Slant Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Half Height of Half Cuboid = sqrt(Slant Length of Half Cuboid^2-Base Length of Half Cuboid^2)
hHalf = sqrt(lSlant^2-lBase^2)
This formula uses 1 Functions, 3 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
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.
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.
STEP 1: Convert Input(s) to Base Unit
Slant Length of Half Cuboid: 11 Meter --> 11 Meter No Conversion Required
Base Length of Half Cuboid: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hHalf = sqrt(lSlant^2-lBase^2) --> sqrt(11^2-10^2)
Evaluating ... ...
hHalf = 4.58257569495584
STEP 3: Convert Result to Output's Unit
4.58257569495584 Meter --> No Conversion Required
FINAL ANSWER
4.58257569495584 4.582576 Meter <-- Half Height of Half Cuboid
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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3 Half Height of Half Cuboid Calculators

Half Height of Half Cuboid given Slant Height
Go Half Height of Half Cuboid = sqrt(Slant Length of Half Cuboid^2-Base Length of Half Cuboid^2)
Half Height of Half Cuboid given Volume
Go Half Height of Half Cuboid = Volume of Half Cuboid/(Base Length of Half Cuboid^2)
Half Height of Half Cuboid
Go Half Height of Half Cuboid = Height of Half Cuboid/2

Half Height of Half Cuboid given Slant Height Formula

Half Height of Half Cuboid = sqrt(Slant Length of Half Cuboid^2-Base Length of Half Cuboid^2)
hHalf = sqrt(lSlant^2-lBase^2)

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 Half Height of Half Cuboid given Slant Height?

Half Height of Half Cuboid given Slant Height calculator uses Half Height of Half Cuboid = sqrt(Slant Length of Half Cuboid^2-Base Length of Half Cuboid^2) to calculate the Half Height of Half Cuboid, The Half Height of Half Cuboid given Slant Height formula is defined as 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, and calculated using the slant height of Half Cuboid. Half Height of Half Cuboid is denoted by hHalf symbol.

How to calculate Half Height of Half Cuboid given Slant Height using this online calculator? To use this online calculator for Half Height of Half Cuboid given Slant Height, enter Slant Length of Half Cuboid (lSlant) & Base Length of Half Cuboid (lBase) and hit the calculate button. Here is how the Half Height of Half Cuboid given Slant Height calculation can be explained with given input values -> 4.582576 = sqrt(11^2-10^2).

FAQ

What is Half Height of Half Cuboid given Slant Height?
The Half Height of Half Cuboid given Slant Height formula is defined as 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, and calculated using the slant height of Half Cuboid and is represented as hHalf = sqrt(lSlant^2-lBase^2) or Half Height of Half Cuboid = sqrt(Slant Length of Half Cuboid^2-Base Length of Half Cuboid^2). The Slant Length of Half Cuboid is the length of any edge of the top rhombus shaped face of the Half Cuboid & The Base Length of Half Cuboid is the length of any edge of the bottom square shaped face of the Half Cuboid.
How to calculate Half Height of Half Cuboid given Slant Height?
The Half Height of Half Cuboid given Slant Height formula is defined as 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, and calculated using the slant height of Half Cuboid is calculated using Half Height of Half Cuboid = sqrt(Slant Length of Half Cuboid^2-Base Length of Half Cuboid^2). To calculate Half Height of Half Cuboid given Slant Height, you need Slant Length of Half Cuboid (lSlant) & Base Length of Half Cuboid (lBase). With our tool, you need to enter the respective value for Slant Length of Half Cuboid & Base Length of Half 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 Half Height of Half Cuboid?
In this formula, Half Height of Half Cuboid uses Slant Length of Half Cuboid & Base Length of Half Cuboid. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Half Height of Half Cuboid = Height of Half Cuboid/2
  • Half Height of Half Cuboid = Volume of Half Cuboid/(Base Length of Half Cuboid^2)
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