Question

Find the diagonal of a cube if its side equals 5. help

Answer 1

diagonal = sqrt 3 times a

Answer 2

a = measure of the cube side

Answer 3

Let

s = length of the side of a cube

Therefore, using the Pythagorean theorem,

s^2 + s^2 = 6^2

2s^2 = 36

s = 6/sqrt 2

Let

D = diagonal of the cube

Again, using the Pythagorean theorem,

D^2 = 6^2 + (6/sqrt 2)^2

D^2 = 36 + 36/2 = 36 + 18 = 54

D = sqrt (54) = sqrt (9 * 6)

D = 3*sqrt (6) units

Hope this helps.

Answer 4

diagonal of cube is \[\sqrt{3}\] times side
therefore diagonal = 5 \[\sqrt{3}\]