Question

Решите задачу:Масса пустого сосуда равна 560 грамм.Когда его целиком наполнили бензином,его масса стала равна 3,4 кг.Определить вместимость сосуда в см кубических.Плотность бензина равна. 710 кг/м в кубе.

Answer 1

M=3400 г-560 г=2840 г=2.84 кг-масса бензина
m=pV
V-объём стакана
p плотность бензина
V=$\frac{m}{p} = \frac{2.84}{710} =0.004$

V=0.004 м³=4000 см³

Answer 2

Problem Analysis

To solve this problem, we need to determine the volume of the vessel in cubic centimeters (cm³) based on the given information about its mass and the density of the liquid (benzine) it contains.

Given Information

- Mass of the empty vessel: 560 grams - Mass of the vessel when filled with benzine: 3.4 kilograms - Density of benzine: 710 kilograms per cubic meter (kg/m³)

Solution

To find the volume of the vessel, we can use the formula:

Volume = Mass / Density

However, we need to convert the given masses to the same unit (kilograms) before applying the formula.

Conversion of Masses

- Mass of the empty vessel: 560 grams = 0.56 kilograms - Mass of the vessel when filled with benzine: 3.4 kilograms (already in kilograms)

Calculation

Using the formula mentioned above, we can calculate the volume of the vessel:

Volume = (Mass of the vessel when filled with benzine - Mass of the empty vessel) / Density

Substituting the given values:

Volume = (3.4 kg - 0.56 kg) / 710 kg/m³

Calculating the result:

Volume = 2.84 kg / 710 kg/m³

Simplifying:

Volume = 0.004 kg/m³

Final Answer

The volume of the vessel is approximately 0.004 cubic meters (m³) or 4000 cubic centimeters (cm³).