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How do you find the length of the diagonal of cube if side is given?
Wiki User
∙ 13y ago
diagonal can only be found if two sides are known, imagine if you only have one known side ,the other side could be of any length and therefore the diagonal could be any length.
if two sides are known then use pythagoras, as the two sides make up the 'adjacent' and 'opposite' side of a right angled triangle
e.g. side a=2, side b=4 side c is square root of 2x2 plus 4x4
i.e root of 4+ 16=20 which is approx 4.47
Wiki User
∙ 13y ago
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How do you find the volume of a cubical box when diagonal is given?
Cool question ! Answer - half it then cube it to prove it - an example for you if cube diagonal (not square diagonal) is 100, then using pythagoras theorm the square diagonal = 70.71068, If square the square diagonal = 70.71068, then using pythagoras theorm the side length = 50 therefore the volume = 50 ^ 3 = 25000 units works with any numbers
How do you find the volume of a cube if only one edge is given?
You cube the edge length.
How to find side of a cube if the volume is given?
Find the cube root of the volume. Volume of a cube = length of side^3 therefore length of side = volume^(1/3)
How do you find the sides of a cube when the volume is given?
The side length is the cube root of the volume.
If a diagonal of a cube is known how to find the volume of the cube?
If the diagonal is d thenV = [d/sqrt(3)]^3
How do you find the edge of a cube if the measure of the diagonal is given?
The longest diagonal in a cube is equal to the length of the edge, multiplied by the square root of 3.
How do you find the length of a diagonal in a cube?
The side of a square is is cube root of 2cm. Find the length of the diagonals.
If the volume of a cube is 125 find the length of one of the face diagonals of the cube?
find the cube root of 125(which is 5) is the length of one side do Pythagorean theorem to find the diagonal 5squared plus 5 squared=50 square root of 50=7.07106781 is diagonal
How do you find the volume of a cubical box when diagonal is given?
Cool question ! Answer - half it then cube it to prove it - an example for you if cube diagonal (not square diagonal) is 100, then using pythagoras theorm the square diagonal = 70.71068, If square the square diagonal = 70.71068, then using pythagoras theorm the side length = 50 therefore the volume = 50 ^ 3 = 25000 units works with any numbers
How do you find the volume of a cube if only one edge is given?
You cube the edge length.
How do you find the area of a square given only the length of its diagonal?
Given the length of the diagonal of the square ... call it 'D units'. The area of the square is (1/2 D2) (same units)2.
How to find side of a cube if the volume is given?
Find the cube root of the volume. Volume of a cube = length of side^3 therefore length of side = volume^(1/3)
How do you find the sides of a cube when the volume is given?
The side length is the cube root of the volume.
If a diagonal of a cube is known how to find the volume of the cube?
If the diagonal is d thenV = [d/sqrt(3)]^3
How do you find the length of a side of a cube when volume is given?
Cube root the volume as for example if its volume was 27 then the cube root of 27 is 3 which is its side length
What is the length in inches of a diagonal of a 20 foot cube?
12 inches = 1 foot. 240 inches = 20 feet. Use Pythagoras' theorem to find the diagonal of one of the faces of the cube. 2402+2402 = 115200. The square root of 115200 is 339.411255 Therefore the diagonal of the cube is 339.411255 inches or 339 inches correct to three significant figures Incidentally, by using the above answer and Pythagoras' theorem we can also work out the length of the longest internal diagonal within the cube which works out exactly as 340 inches.
Find the volume and total area of the largest cube of wood that can be cut out from a log of circular cross section whose radius is 12.7 in?
To get the largest cube of wood, you would want to cut it out so that the long diagonal is the diameter of the log: 25.4" For a cube of side length s, the diagonal is s√3, so to find the side given the diagonal, we need to divide by √3 25.4 / 1.732 = 14.664" This is one side of the cube, so the volume is 3153.69 cubic inches. ◄ As for total area, I am not sure what that is asking for. If it is surface area, 87.988 in² is the answer. ■
