# Measurements of a rectangular parallelepiped are 4cm 4cm and 2cm, find the diagonal

**Measurements of a rectangular parallelepiped are 4cm 4cm and 2cm, find the diagonal of the parallelepiped and the diagonal of the side faces.**

Let us determine what value the length of the diagonal of this parallelepiped will equal if from the condition of our problem we know for sure that its dimensions are 4 cm, 4 cm and 2 cm, respectively:

√ (4 ^ 2 + 4 ^ 2 + 2 ^ 2) = √ (16 + 16 + 4) = √36 = 6.

Answer: The diagonal of the parallelepiped is 6 cm.

Let’s determine what value will be equal to the length of the diagonal of each side, whose dimensions are 4 by 4 cm:

√ (4 ^ 2 + 4 ^ 2) = 4√2.

Let’s determine what value will be equal to the length of the diagonal of each side, whose dimensions are 4 by 2 cm:

√ (4 ^ 2 + 2 ^ 2) = 2√5.

Answer: 4√2 cm and 2√5 cm.