Question

Решите с помощью пропорции. Металический брусок обьемом 2см в кубе имеет массу 12 гр. Какую массу имеет брусок из этого же металла обьемом 3 см в кубе

Answer 1

2 см³  -  12 г
3 см³  -   ?

12*3:2 = 18 (г)

Ответ: брусок, объемом 3 см³, будет иметь массу 18 г

Answer 2

Problem Analysis

We are given a metal block with a volume of 2 cm³ and a mass of 12 grams. We need to find the mass of a block made of the same metal with a volume of 3 cm³.

Solution

To solve this problem, we can set up a proportion using the relationship between volume and mass. The proportion can be written as:

Volume 1 / Mass 1 = Volume 2 / Mass 2

Substituting the given values, we have:

2 cm³ / 12 g = 3 cm³ / Mass 2

To find the value of Mass 2, we can cross-multiply and solve for it:

2 cm³ * Mass 2 = 12 g * 3 cm³

Simplifying the equation:

2 * Mass 2 = 36

Dividing both sides by 2:

Mass 2 = 36 / 2 = 18 g

Therefore, the block made of the same metal with a volume of 3 cm³ has a mass of 18 grams.

Answer

The block made of the same metal with a volume of 3 cm³ has a mass of 18 grams.