Since all the sides in a cube are of same length, say a, so the Diagonal length = √(3a²) = a√3venmic wrote:Is length of diagnoal of a cube
Length = √(a²+b²+c²)
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length of diagnoal of a cube
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this is actually the formula of a cuboid....venmic wrote:Is length of diagnoal of a cube
Length = √(a²+b²+c²)
however you can derive the formula very easily , coz all sides of a cube are equal so ,
a = b = c
hence √(a²+b²+c²) => √(a²+a²+a²)= √ 3 a²
Or we can say
Diagonal of a cube is a √ 3 ....
Abhishek
Yes, it's the length of a cube's diagonal (for a cube, a=b=c).venmic wrote:Is length of diagnoal of a cube
Length = √(a²+b²+c²)
It's also formula for the length of the diagonal of a box.
So, for example, if a box has dimensions 2x3x7, then the length of the diagonal (from one point to the point furthest away) will equal root(2^2 + 3^2 + 7^2), which equals root(62)
I have a free video (video #12) at https://www.gmatprepnow.com/module/gmat-geometry that explains this formula.
Cheers,
Brent













