Question

836. Металлический бачок без крышки имеет форму куба, ребро которого равно 60 см. Сколько граммов краски требуется для покраски поверхности этого бачка, если для покраски 1 дм нужно 2,2 г краски? Дайте ответ с условиям дам 30 балов

Answer 1

Будет 3
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Answer 2

Calculating the Amount of Paint Needed to Cover the Surface of a Metal Tank

To calculate the amount of paint needed to cover the surface of a metal tank without a lid, we can use the formula:

Amount of paint (in grams) = Surface area of the tank (in square centimeters) × Paint needed per square centimeter (in grams)

First, let's calculate the surface area of the tank.

The tank is in the shape of a cube, and the length of each edge (referred to as the "rib" in the question) is 60 cm.

The surface area of a cube can be calculated using the formula: Surface area = 6 × (side length)^2

Substituting the given value of the rib length (60 cm) into the formula, we get: Surface area = 6 × (60 cm)^2

Let's calculate the surface area of the tank.

Calculating the Surface Area of the Tank

The surface area of the tank is: Surface area = 6 × (60 cm)^2

Now, let's calculate the amount of paint needed using the given paint requirement per square centimeter.

Calculating the Amount of Paint Needed

The amount of paint needed is calculated using the formula: Amount of paint = Surface area × Paint needed per square centimeter

Given that for 1 square decimeter (100 square centimeters) we need 2.2 grams of paint, we can convert the surface area to square decimeters and then calculate the amount of paint needed.

Converting Surface Area to Square Decimeters

1 square decimeter = 100 square centimeters

Let's convert the surface area to square decimeters and then calculate the amount of paint needed.

Converting Surface Area to Square Decimeters

The surface area in square decimeters is: Surface area (in square decimeters) = Surface area (in square centimeters) / 100

Now, let's calculate the amount of paint needed.

Calculating the Amount of Paint Needed

The amount of paint needed is: Amount of paint = Surface area (in square decimeters) × Paint needed per square decimeter

By substituting the calculated surface area in square decimeters and the given paint requirement per square decimeter, we can find the amount of paint needed to cover the surface of the tank.

I will now calculate the final amount of paint needed.