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It is sqrt(3) times length of an edge. How to figure. The diagonal across one face is sqrt(2) * edge [make a right triangle: the hypotenuse will be that diagonal].
Now make another right triangle, with the diagonal across the face as one 'leg', and an edge as the other 'leg'. The hypotenuse of this triangle will be a diagonal of the cube: Length of this = sqrt((leg1)2 + (leg2)2) = sqrt((edge)2 + (sqrt(2)*edge)2) = sqrt(edge2 + 2*(edge)2) = sqrt(3*(edge)2) = sqrt(3)*(edge)
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How many space diagonals does a cube have?
A cube has four space diagonals. One from each of the four vertices on the top face of the cube to the opposite vertex on the other face
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.
What is the angle between two adjacent face diagonals of a cube?
60
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How many diagonals does a cube have?
20 Perhaps the author of the previous answer could explain his working. It seems to me that there are two diagonals on each face (total 12), plus 4 internal diagonals, giving an answer of 16.
How many diagonals can you draw on all the faces of a cube?
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Three differences between cube and cuboid for 6 grade?
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What is the value of iota cube?
1243 KDA= Iota Cube
If the volume of a cube is 125 find the length of one of the face diagonals of the cube?
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It is: 2
How many diagonals does a undecagon have?
A undecagon has 44 diagonals. A dodecagon has 54 diagonals. An octagon has 20 diagonals. A heptagon has 14 diagonals.
