Question

ПомогитеСколько досок длиной 2 м, шириной 10 см и толщиной 20 мм выйдет из бруса длиной 80 дм, имеющего в сечении прямоугольник размером 30 см × 50 см?

Answer 1

80дм=800см
800*30*50=1200000см/кубе объём бруса
2м=200см
200*10*20=40000см/кубе объём доски
1200000/40000=30досок

Answer 2

Calculating the Number of Planks

To calculate the number of planks that can be obtained from the given beam, we can use the following formula:

Number of planks = (Volume of beam) / (Volume of one plank)

First, let's calculate the volume of the beam and the volume of one plank.

Calculating the Volume of the Beam

The given beam has a rectangular cross-section with dimensions 30 cm × 50 cm. The length of the beam is 80 dm.

The volume of the beam can be calculated using the formula: Volume = length × width × height

Converting the dimensions to meters: - Length = 80 dm = 8 m - Width = 30 cm = 0.3 m - Height = 50 cm = 0.5 m

Using these values, the volume of the beam can be calculated as: Volume = 8 m × 0.3 m × 0.5 m

Calculating the Volume of One Plank

The planks are to be cut from the beam with dimensions 2 m × 10 cm × 20 mm.

Converting the dimensions to meters: - Length = 2 m - Width = 10 cm = 0.1 m - Height = 20 mm = 0.02 m

Using these values, the volume of one plank can be calculated as: Volume = 2 m × 0.1 m × 0.02 m

Final Calculation

Now, let's calculate the number of planks that can be obtained from the beam using the formula: Number of planks = (Volume of beam) / (Volume of one plank)

Substitute the calculated volumes into the formula and solve for the number of planks.

Answer

The number of planks that can be obtained from the given beam is: Number of planks = (Volume of beam) / (Volume of one plank) Number of planks = (8 m × 0.3 m × 0.5 m) / (2 m × 0.1 m × 0.02 m)

Calculating the result: Number of planks ≈ 100

Therefore, approximately 100 planks of the specified dimensions can be obtained from the given beam.