Given a rectangular parallelepiped with measurements 1cm, 2cm, 3cm. Find the square of the diagonal

Given a rectangular parallelepiped with measurements 1cm, 2cm, 3cm. Find the square of the diagonal of the rectangular parallelepiped.

To solve this stereometric problem, we need to find the unknown, which is equal to the diagonal of the rectangular parallelepiped:

To find the diagonal of a rectangular parallelepiped, use the following formula:

d ^ 2 = a ^ 2 + b ^ 2 + c ^ 2, where d ^ 2 is the desired value, that is, the square of the diagonal.

a, b, c are the measurements of the parallelepiped.

Under the condition of the problem:

a = 1.

b = 2.

c = 3.

Find d ^ 2 by the formula:

d ^ 2 = a ^ 2 + b ^ 2 + c ^ 2 = 1 ^ 2 + 2 ^ 2 + 3 ^ 2 = 1 + 4 + 9 = 14.

d ^ 2 = 14.

Answer: 14.