Question

Бак имеет форму куба с ребром 2 дм. Найди вместимость этого бака в кубических дециметрах и вырази её в литрах . Вычисли площадь боковых стенок этого бака

Answer 1

Чтобы найти вместимость бака, нужно вычислить его объем. Объем куба: 
 V = a x b x c = 2 дм х 2 дм х 2 дм = 8 куб. дм = 8 л
Площадь боковых стенок:
S = a x b =2 дм х 2 дм = 4 кв. дм

Answer 2

Calculation of the Tank's Capacity and the Area of its Side Walls

To find the capacity of the tank in cubic decimeters (dm³) and express it in liters, we need to calculate the volume of the cube-shaped tank and convert it to liters.

Given that the tank has a cube shape with an edge length of 2 dm, we can calculate its volume using the formula:

Volume of a cube = (Edge length)³

Substituting the given value, we have:

Volume of the tank = (2 dm)³

Calculating this, we find:

Volume of the tank = 2 dm × 2 dm × 2 dm = 8 dm³

To convert the volume from cubic decimeters to liters, we use the conversion factor:

1 liter = 1 cubic decimeter

Therefore, the capacity of the tank in liters is also 8 liters.

Next, let's calculate the area of the side walls of the tank. Since the tank is a cube, all of its side walls have the same area. The formula to calculate the area of a square is:

Area of a square = (Side length)²

Substituting the given value, we have:

Area of the side walls = (2 dm)²

Calculating this, we find:

Area of the side walls = 2 dm × 2 dm = 4 dm²

Therefore, the area of the side walls of the tank is 4 square decimeters (dm²).

Please note that the calculations provided are based on the assumption that the tank is a perfect cube with no internal divisions or obstructions.