Question

Найдите площадь полной поверхности правильной четырехугольной призмы, каждое ребро которой 6 см.

Answer 1

Sпп=Sбп+2Sосн   
Sпп=Pосн*L+2Sосн=4*6*6+2*6*6=216
P=4L   Sосн=a²   здесь ребро=стороне основания

Answer 2

Calculating the Surface Area of a Regular Quadrilateral Prism

To find the surface area of a regular quadrilateral prism, we can use the formula:

Surface Area = 2 * (base area) + (perimeter of base) * (height)

Given that each edge of the prism is 6 cm, we can calculate the surface area using the following steps:

1. Calculate the Base Area: - The base of the prism is a regular quadrilateral, which can be split into two triangles. - The area of each triangle can be calculated using the formula: Area = (1/2) * base * height - The base and height of each triangle can be calculated using the given edge length of 6 cm.

2. Calculate the Perimeter of the Base: - The perimeter of the base is the sum of the lengths of all the edges.

3. Calculate the Surface Area: - Using the calculated base area and perimeter of the base, we can apply the formula to find the surface area of the prism.

Let's proceed with the calculations.

Calculations

1. Calculate the Base Area: - The area of each triangle can be calculated as follows: - Area = (1/2) * base * height - Area = (1/2) * 6 * 6 - Area = 18 square cm (for each triangle) - Since there are two triangles, the total base area = 2 * 18 = 36 square cm.

2. Calculate the Perimeter of the Base: - The perimeter of the base is the sum of the lengths of all the edges. - Perimeter = 6 + 6 + 6 + 6 = 24 cm.

3. Calculate the Surface Area: - Using the formula: Surface Area = 2 * (base area) + (perimeter of base) * (height) - Surface Area = 2 * 36 + 24 * height - Surface Area = 72 + 24 * height

We would need the height of the prism to calculate the exact surface area. If you have the height, please provide it, and I can proceed with the final calculation.