Find the total surface area of a regular quadrangular prism if the side of the base is 5cm and the height is 7cm.

univerkov | June 18, 2021 | education

The total surface area Spov consists of two areas of the base, Pine and the area of the lateral surface Sbok, and the formula has the form:

Spov = 2 * S main + Sbok.

We find the Pine with a = 5 cm: 5 cm * 5 cm = 25 cm ^ 2.

We find the side at side a = 5 cm, height n = 7 cm: 4 * a * n = 4 * 5 * 7 cm ^ 2 = 140 cm ^ 2.

We find Cpov = 2 * 25 cm ^ 2 + 140 cm ^ 2 = 50 cm ^ 2 + 140 cm ^ 2 = 190 cm ^ 2.

Answer: the surface area is 190 cm ^ 2.

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.