The base of the straight prism is a right-angled triangle with legs 6cm

univerkov | February 23, 2021 | education

The base of the straight prism is a right-angled triangle with legs 6cm and 8cm, the height of the prism is 7cm. Find the total surface area of the prism.

At the base of the prism lies a right-angled triangle, then by the Pythagorean theorem we determine the length of the hypotenuse AC.

AC ^ 2 = AB ^ 2 + BC ^ 2 = 64 + 36 = 100.

AC = 10 cm.

Let us determine the area of the lateral surface of the prism: Sside = AA1 * Ravs = 7 * (10 + 8 + 6) = 168 cm2.

Determine the area of the base of the prism: Sbn = AB * BC / 2 = 8 * 6/2 = 24 cm2.

Then Sпов = 2 * Sсн + S side = 2 * 24 + 168 = 216 cm2.

Answer: The surface area of the prism is 216 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.