Question

Найти площадь каждой грани параллепипеда и сумму площадей всех граней (площадь полной поверхности). Длина=4см,ширина =3см,а высота 2см.

Answer 1

S= 2(ab+ bc+ ac) Длина а=4см,ширина b=3см,а высота c= 2см.
Найти площадь каждой грани параллелепипеда
S(1)=ab
S(1)=4*3=12 кв см
S(2)=bc
S(2)=3*2=6 кв см
S(3)=ac
S(3)=4*2=8 кв см
и  площадь полной поверхности 
S=2(ab+bc+ca) 
S=2(12+6+8)=2*26=52 кв см

Answer 2

Calculation of Surface Area of a Parallelepiped

To find the surface area of each face of a parallelepiped and the total surface area, we can use the formulas provided in the search results.

The formulas are as follows:

- The surface area of each face of a parallelepiped is given by S = 6a^2, where a is the length of one side of the parallelepiped. - The total surface area of the parallelepiped is given by P = 12a, where a is the length of one side of the parallelepiped.

Given the dimensions of the parallelepiped: - Length (a) = 4 cm - Width (b) = 3 cm - Height (c) = 2 cm

Let's calculate the surface area of each face and the total surface area.

1. Surface area of the first face: - Using the formula S = 6a^2, where a = 4 cm: - S1 = 6 * (4 cm)^2 = 96 cm^2.

2. Surface area of the second face: - Using the formula S = 6a^2, where a = 3 cm: - S2 = 6 * (3 cm)^2 = 54 cm^2.

3. Surface area of the third face: - Using the formula S = 6a^2, where a = 2 cm: - S3 = 6 * (2 cm)^2 = 24 cm^2.

4. Surface area of the fourth face: - Using the formula S = 6a^2, where a = 4 cm: - S4 = 6 * (4 cm)^2 = 96 cm^2.

5. Surface area of the fifth face: - Using the formula S = 6a^2, where a = 3 cm: - S5 = 6 * (3 cm)^2 = 54 cm^2.

6. Surface area of the sixth face: - Using the formula S = 6a^2, where a = 2 cm: - S6 = 6 * (2 cm)^2 = 24 cm^2.

Now, let's calculate the total surface area (sum of all face areas):

- P = S1 + S2 + S3 + S4 + S5 + S6 - P = 96 cm^2 + 54 cm^2 + 24 cm^2 + 96 cm^2 + 54 cm^2 + 24 cm^2 - P = 348 cm^2

Therefore, the total surface area of the parallelepiped is 348 cm^2.

Please let me know if there's anything else I can help you with!