Question

Find the diagonal of the cube whose each edge is 5 cm.

Answer 1

a = 5cm
d = √3a
d = √3(5)
d = 5√3 cm

Answer 2

Find the diagonal of the base area:

a² + b² = c²

c² = 5² + 5²

c² = 50

c = √50

c = 5√2

Find the diagonal of the cube:

a² + b² = c²

c² = 5² + (5√2)²

c² = 75

c = √75

c = 5√3 cm

Answer: The diagonal is 5√3 cm