Question

Бак без крышки имеет форму куба с ребром 0,6 м. Найди объем и площадь наружной поверхности бака. Сколько краски потребуется, чтобы покрасить бак снаружи и изнутри, если на покраску 1 м2 расходуется 0,2 кг краски?

Answer 1

Vкуба=0,6^3=0,26м^3

Sкуба=0,6^2=0,36м^2

2)0,36×5=1,8м^2-всего

3)1,8×2=3,6м^2 внутр и внеш. стороны

4)0,65кг краски уйдёт

Answer 2

Calculation of Volume and Surface Area

To find the volume and surface area of the tank without a lid, we can use the formula for a cube.

Given: - Side length of the cube (referred to as the "edge" or "rib") = 0.6 m

Volume of the tank: The volume of a cube is calculated by raising the length of one side to the power of 3.

Formula: Volume = (edge length)^3

Calculation: Volume = (0.6 m)^3 = 0.6 m * 0.6 m * 0.6 m = 0.216 cubic meters

Surface area of the outer surface of the tank: The surface area of a cube is calculated by multiplying the area of one face by 6.

Formula: Surface Area = 6 * (edge length)^2

Calculation: Surface Area = 6 * (0.6 m)^2 = 6 * 0.6 m * 0.6 m = 2.16 square meters

Amount of Paint Required

To calculate the amount of paint required to paint the tank both on the outside and inside, we need to find the total surface area of the tank (including the inside).

Total surface area of the tank: The total surface area of the tank is the sum of the surface area of the outer surface and the surface area of the inner surface.

Calculation: Total Surface Area = Surface Area of Outer Surface + Surface Area of Inner Surface

Since the tank is a cube without a lid, the inner surface area is the same as the outer surface area.

Calculation: Total Surface Area = 2 * Surface Area of Outer Surface

Calculation of the amount of paint required: To find the amount of paint required, we need to multiply the total surface area of the tank by the paint consumption rate per square meter.

Given: - Paint consumption rate per square meter = 0.2 kg/m^2

Formula: Amount of Paint Required = Total Surface Area * Paint Consumption Rate

Calculation: Amount of Paint Required = 2 * Surface Area of Outer Surface * Paint Consumption Rate Amount of Paint Required = 2 * 2.16 square meters * 0.2 kg/m^2 = 0.864 kg

Therefore, approximately 0.864 kg of paint will be required to paint the tank both on the outside and inside.

Please note that the calculations provided are based on the assumption that the tank is a perfect cube without any additional features or irregularities.