Question

Масса 10 см в кубе сосны равна 4 г Найдите массу Соснового Куба длина ребра которого равна 10 см

Answer 1

V=10*10*10=1000см³
m=4*(1000/10)=400г

Answer 2

Calculating the Mass of a Cubic Pine with a Side Length of 10 cm

To find the mass of a cubic pine with a side length of 10 cm, we can use the formula for the volume of a cube and the given mass of 10 cm³ of pine.

Given: - Volume of the cube (V) = 10 cm³ - Mass of 10 cm³ of pine = 4 g

Solution

The mass of the entire cubic pine can be found using the given mass of 10 cm³ of pine and the volume of the entire cube.

Step 1: Finding the Volume of the Entire Cube The volume of a cube is calculated using the formula: \[ V = a^3 \] Where: - V = Volume - a = Side length of the cube

Given that the side length (a) is 10 cm, we can calculate the volume of the entire cube: \[ V = 10^3 = 1000 \, cm^3 \]

Step 2: Finding the Mass of the Entire Cube To find the mass of the entire cube, we can use the ratio of the given mass of 10 cm³ of pine to the volume of the entire cube.

Given: - Mass of 10 cm³ of pine = 4 g - Volume of the entire cube = 1000 cm³

Using the ratio: \[ \frac{Mass_{entire\,cube}}{Volume_{entire\,cube}} = \frac{Mass_{10\,cm^3\,pine}}{Volume_{10\,cm^3\,pine}} \]

We can find the mass of the entire cube: \[ Mass_{entire\,cube} = \frac{Mass_{10\,cm^3\,pine} \times Volume_{entire\,cube}}{Volume_{10\,cm^3\,pine}} \] \[ Mass_{entire\,cube} = \frac{4g \times 1000cm^3}{10cm^3} \] \[ Mass_{entire\,cube} = 400g \]

Answer: The mass of the entire cubic pine with a side length of 10 cm is 400 grams.