In a straight triangular prism, the sides of the base are 3,4,5 and the height is 6. Find its full surface.

To find the total surface area of a straight triangular prism, add the base areas and the lateral surface area.

The bases of the prism are a right-angled triangle (the Pythagorean tower is executed 3 ^ 2 + 4 ^ 2 = 5 ^ 2, 9 + 16 = 25).

The area of a right-angled triangle is half the product of the legs. S = (3 * 4) / 2 = 6.

Find the area of the lateral surface of the prism.

Side = 3 * 6 + 4 * 6 + 5 * 6 = 18 + 24 + 30 = 72.

Full = 2 * 6 + 72 = 12 + 72 = 84.

Answer: S total = 84.