The volume of a rectangular parallelopiped is equal to prime numbers. volume is 385 cm3. find the volume of the surface of a rectangular parallelopiped
Let’s expand 385 into prime factors:
385 = 5 * 77 = 5 * 7 * 11.
Since the lengths of the faces of a rectangular parallelepiped with a volume of 385 cm³ are prime numbers, the lengths of these faces are 5 cm, 7 cm and 11 cm.
Let’s calculate the surface area of a given rectangular parallelepiped:
2 * (5 * 7 + 7 * 11 + 5 * 11) = 2 * (35 + 77 + 55) = 2 * 167 = 334 (cm²).
Answer: 334 cm².
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.