Question

Объём куба равен 27 дм³. Какова длина ребра куба? решите задачу методом подбора. 9 дм3 дм³3 дм4 дмДАМ 21 БАЛЛ​

Answer 1

Если нам известен объем куба, а нужно найти ребро, мы используем следующую формулу: V = a^3. (V – объем куба, a – ребро куба).

Подставляем наши значения в формулу:

V = a^3.

или a = ∛27 = 3 (см) – длина ребра куба. (корень кубический из 27 равен 3, так как 3*3*3 = 27)

Ответ: Длина ребра куба равна 3 см.

Answer 2

To find the length of the cube's edge when the volume is given, we can use the method of trial and error. Let's start by assuming that the length of the cube's edge is x dm.

The volume of a cube is given by the formula V = x^3, where V is the volume and x is the length of the edge.

In this case, the volume is given as 27 dm³. So we can set up the equation:

x^3 = 27

To solve this equation, we can try different values of x until we find the one that satisfies the equation. Let's start with x = 3:

3^3 = 27

Since 3^3 is indeed equal to 27, we have found the length of the cube's edge. Therefore, the length of the cube's edge is 3 dm.

Please note that this method of trial and error is one way to solve this problem. There are other methods, such as using cube roots, that can also be used to find the length of the cube's edge.