Question

The edges of a cuboid are 3 cm, 4 cm, 5 cm, the length of diagonal is............. and how?​

Answer 1

Answer:

5√2

Step-by-step explanation:

The diagonal of the base of the cuboid (a rectangle of 3cm * 4 cm):

h=?

p=3 cm

b=4 cm

using Pythagorean theorem

h=5 cm

then

The triangle formed by the diagonal of the base, diagonal of the cupboard and the height of the cupboard is a right angled triangle, where:

h=?

p=5cm

b=5cm=height

using Pythagorean theorem

h=5√2cm