Question 457307
Find the length of the diagonal of a cube with side length 10cm.
First, find diagonal of base:
let d = diagonal of base
then
d^2 = 10^2 + 10^2
d^2 = 100 + 100
d^2 = 200
d = sqrt(200)
.
Now, find diagonal of cube
let x = diagonal of cube
x^2 = [sqrt(200)]^2 + 10^2
x^2 = 200 + 100
x^2 = 300
x = sqrt(300)
x = sqrt(3*10*10)
x = 10*sqrt(3)
x = 17.32 cm