The base of the straight prism is a right-angled triangle, its legs are 25 and 18.4 cm

| August 14, 2021 | education

The base of the straight prism is a right-angled triangle, its legs are 25 and 18.4 cm, and the height of the prism is 38 cm. Calculate the total surface area of the prism.

Triangle ABC is rectangular, as required.

By the Pythagorean theorem, we determine the length of the hypotenuse AB.

AB ^ 2 = AC ^ 2 + BC ^ 2 = 625 + 338.56 = 963.56.

AB = 31.04 cm.

Since the prism is rectangular, its side faces are rectangles.

Let’s define the perimeter of the triangle ABC.

Ravs = AB + BC + AC = 31.04 + 18.4 + 25 = 79.44 cm.

Let us determine the area of the lateral surface of the prism.

Side = P * AA1 = 74.44 * 38 = 2828.72 cm2.

Determine the area of the base.

Sb = АС * ВС / 2 = 25 * 18.4 / 2 = 230 cm2.

Then Sпов = Sbok + 2 * Sсн = 2828.72 + 460 = 3288.72 cm2.

Answer: The area of the prism is 3288.72 cm2.



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