Question

Подбором найди сторону куба, объём которого равен: 8 м в кубе, 27 м в кубе, 64 м в кубе,125 м в кубе. Проверь себя, вспомни значение кубов однозначных чисел.

Answer 1

Finding the Side Length of a Cube

To find the side length of a cube given its volume, we can use the formula:

Side Length = Cube Root of Volume

Let's apply this formula to the given volumes and find the corresponding side lengths.

1. For a cube with a volume of 8 m³: - Side Length = Cube Root of 8 m³ - Side Length = ∛8 m - Side Length = 2 m

2. For a cube with a volume of 27 m³: - Side Length = Cube Root of 27 m³ - Side Length = ∛27 m - Side Length = 3 m

3. For a cube with a volume of 64 m³: - Side Length = Cube Root of 64 m³ - Side Length = ∛64 m - Side Length = 4 m

4. For a cube with a volume of 125 m³: - Side Length = Cube Root of 125 m³ - Side Length = ∛125 m - Side Length = 5 m

Therefore, the side lengths of the cubes with volumes 8 m³, 27 m³, 64 m³, and 125 m³ are 2 m, 3 m, 4 m, and 5 m, respectively.

Meaning of Cubes of Single-Digit Numbers

The cubes of single-digit numbers refer to the result of multiplying a number by itself twice. For example, the cube of 2 is 2 × 2 × 2 = 8, the cube of 3 is 3 × 3 × 3 = 27, and so on.

The cubes of single-digit numbers have specific values that can be memorized:

- Cube of 2: 2 × 2 × 2 = 8 - Cube of 3: 3 × 3 × 3 = 27 - Cube of 4: 4 × 4 × 4 = 64 - Cube of 5: 5 × 5 × 5 = 125

These values are frequently used in mathematics and have various applications in different fields.

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