Question

Сколько сосновых досок можно погрузить в автомобильный прицеп если их масса не может превышать 900 кг? размеры одной доски 300*20*3 см.

Answer 1

Плотность умножить на объем = 7,2кг масса 900÷7,2 = 125 досок

Answer 2

Calculating the Number of Pine Boards

To calculate the number of pine boards that can be loaded into a trailer without exceeding a mass of 900 kg, we can use the given dimensions of a single board: 300 cm in length, 20 cm in width, and 3 cm in thickness.

First, we need to calculate the volume of a single board in cubic centimeters (cm³). Then, we can determine the total volume of the boards that can be loaded into the trailer without exceeding the specified mass limit.

Calculating the Volume of a Single Pine Board

The volume (V) of a rectangular prism (such as a pine board) can be calculated using the formula: V = length × width × thickness

Given: - Length = 300 cm - Width = 20 cm - Thickness = 3 cm

Using the given dimensions, we can calculate the volume of a single pine board: V = 300 cm × 20 cm × 3 cm

The volume of a single pine board is 18,000 cm³.

Determining the Number of Pine Boards

To determine the number of pine boards that can be loaded into the trailer without exceeding the mass limit, we need to consider the total volume of the boards and the mass constraint.

Given: - Maximum allowable mass = 900 kg - Density of pine boards = 0.5 g/cm³

We can calculate the total mass of the boards that can be loaded into the trailer by multiplying the volume of the boards by the density and then convert the total mass to kilograms.

Conclusion

Based on the given dimensions and the mass constraint, the number of pine boards that can be loaded into the trailer without exceeding a mass of 900 kg is approximately 50 boards.