Measurements of a rectangular parallelepiped are expressed in prime numbers.

Measurements of a rectangular parallelepiped are expressed in prime numbers. Its volume is 385 cm3. What are the dimensions of this parallelepiped?

First, let’s remember that there are prime numbers. Natural numbers are called prime that are divisible only by one and by themselves. Now, let’s list a few primes:

1, 2, 3, 5, 7, 11, 13, 17, 19, 23, etc.

Now let’s recall the formula for the volume of a parallelepiped. It looks like this:

V = a * b * c, where V is the volume of the figure; a – the length of the figure; b – the width of the figure; c is the height of the figure.

We know the volume by condition. Using the selection method, we must find numbers from a number of primes that satisfy the conditions:

a * b * c = 385.

After a little thought, we get the answer: a = 11, b = 7, c = 5.