Question

Сторона основи правильної трикутної піраміди дорівнює 6см, а бічна грань нахилена до площини основи під кутом 30. Знайти площу повної поверхні піраміди.

Answer 1

Вроде 18см в квадрате 

Answer 2

Finding the Surface Area of a Triangular Pyramid

To find the surface area of a triangular pyramid, we need to calculate the areas of all its faces and then sum them up.

Given information: - The length of one side of the base of the pyramid is 6 cm. - The lateral face of the pyramid is inclined to the base plane at an angle of 30 degrees.

To calculate the surface area, we need to find the areas of the base and the lateral faces.

Finding the Area of the Base

The base of the pyramid is a triangle. To find its area, we can use the formula for the area of a triangle: Area = (base * height) / 2.

In this case, the base of the triangle is 6 cm, and we need to find the height. Since the triangle is equilateral, the height can be found using the formula: Height = (sqrt(3) / 2) * side.

Substituting the values, we get: - Base = 6 cm - Height = (sqrt(3) / 2) * 6 cm

Now we can calculate the area of the base using the formula: - Area of the base = (base * height) / 2

Finding the Area of the Lateral Faces

The lateral faces of the pyramid are triangles. To find their areas, we can use the formula for the area