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It is an extension of Pythagoras's theorem to 3-dimensions.

Diagonal2 = Length2 + Width2 + Height2

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Q: What is the formula for calculating the length of the diagonal of a right rectangular prism on the basis of the prisms length width and height?
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What is the formula used to calculate the volume of a rectangular solid?

The volume of a rectangular solid is calculated by taking the area of the base and multiplying it by the solids height. Another way of saying this is to say length x width x height.


What is the volume of the rectangular box with a height of 5 length of 7 and a diagonal of 6?

Volume is a physical variable, thus in order to evaluate the volume it is needed to give measurements units to the sides dimensions. For example, if length is in inch, height in meters and diagonal in cm, you have to convert all in the same measurement unit before proceeding. Let us assume that all the measures are in meters. In this case, we can apply the fact that the square diagonal (d) is the sum of the squares of all the sides (x, y and z). Thus d2 = x2 + y2 + z2 From this equation we see that, if the numbers are all in the same unit of measure, the diagonal cannot be smaller than one side, thus it does not exist a rectangular box with a side equal to 7 m and a diagonal equal to 6 m.


A rectangular piece of sheet iron 625cm squared in area to form a cylinder 9 cm in diameter. Find the height and the volume of this cylinder.?

First, find the surface area of the cylinder using the formula SA = pi * diameter * height The surface area of the cylinder will equal the area of the rectangular sheet. So you can then solve for the height of the cylinder, Height = 625cm2 / (pi * 9cm) = 22.1 cm Using the height and diameter of the cylinder we can find the volume with the following formula, Vol = (pi / 4) * (diameter)2 * height Vol = (pi/4)*(9cm)2 * 22.1cm = 1405.9 cm3


Math Formula for height?

The formula for height depends on the context. There is no simple formula for the height of a person. Formulae for the height of a geometric shape depends on what information about the shape is given.


Can the base and height of a triangle be perpendicular?

YES!!! When calculating the area of a triangle the equation is A = (1/2)bh That is the base(b) is multiplied to the perpendicular height(h), and then multiplied by '1/2' or '0.5'.

Related questions

What is the formula for calculating the length of the space diagonal of a right rectangular prism on the basis of the prisms length width and height?

It is the extension of Pythagoras's theorem to 3-d. d2 = l2 + w2 + h2


What is the mathematical formula for calculating water cube?

For the size in gallons for a rectangular aquarium, the formula is: (Length x Width x Height) divided by 231


What is the formula for calculating the volume of a rectanglular prism?

The formula for calculating the volume of a rectangular prism is: Length x width x height Example, if length=2cm, width=4cm, and height is 2cm your answer would be: 2 x 4 x 2 = 16 cm3


What 3 dimensions do you need to find the volume of a rectangular solid object?

The formula for calculating the volume of a cuboid is width x length x height


What is the formula used to find the length of a rectangular prism?

The answer depends on what information you are given: (volume, breadth and height), (surface are, breadth and height), (principle diagonal, breadth and height), (mass, density, breadth and height) or some other set.


What is the formula of calculating area of a rectangular solid?

First of a;; it is NOT a rectangular solid, but a CUBOID. Thformuloa for calculating volume is baase x perpendicular width x perpendicular height. Algebraically V = l X w X h


What is the diagonal of a rectangular room which measures 20 feet by 25 feet?

The principal diagonal of the room also requires its height.


What is the formula for calculating height in a rectangular prism?

The answer will depend on what information you do have.The answer will depend on what information you do have.The answer will depend on what information you do have.The answer will depend on what information you do have.


The formula for calculating the volume of a rectangular wet well is?

In order to calculate the volume of a rectangular wet wall, one would first measure the wall's length, width, and depth. Then, one would plug the measurements into this formula: length x width x height.


What the formula for calculating volume?

Volume = area X height


Formula for calculating height of rainbow?

Rainbows do not exist - they are optical effects/illusions, they have no height.


What is the formula in finding the volume of rectangular prism?

The volume of a rectangular prism can be found by the formula: volume=length*width*height