# 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.

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