Question

Михаил решил покрасить брусок с измерениями 30см, 30 см и 10 дм. Хватит ли ему 200 гр. Краски, если её расход 2 гр краски на 1 дм^3 СРОЧНО И С ПОЯСНЕНИЯМИ!!! Можно по понятнее)

Answer 1

По-идее расход должен быть на квадратный дм. Но решаю как у Вас
переводим измерения в одну единицу- дециметры
30 см = 3 дм
V=3*3*10=90
расход 2*90=180 < 200/
Ответ хватит

Answer 2

Calculating the Amount of Paint Needed for the Block

To calculate whether 200 grams of paint will be sufficient for Mikhail to paint the block, we need to consider the volume of the block and the paint consumption rate.

The block's dimensions are 30 cm, 30 cm, and 10 dm. To ensure consistency, we should convert all measurements to the same unit before proceeding with the calculation.

Converting the Measurements to a Consistent Unit

1 decimeter (dm) = 10 centimeters (cm)

Therefore, the dimensions of the block in centimeters are: - Length: 30 cm - Width: 30 cm - Height: 100 cm (10 dm = 100 cm)

Calculating the Volume of the Block

The volume of the block can be calculated using the formula: \[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

Substituting the given values: \[ \text{Volume} = 30 \, \text{cm} \times 30 \, \text{cm} \times 100 \, \text{cm} \] \[ \text{Volume} = 90000 \, \text{cm}^3 \]

Determining the Amount of Paint Needed

Given that the paint consumption rate is 2 grams per 1 cubic decimeter (dm^3), we need to convert the block's volume from cubic centimeters to cubic decimeters.

1 cubic decimeter (dm^3) = 1000 cubic centimeters (cm^3)

Therefore, the volume of the block in cubic decimeters is: \[ \text{Volume} = 90000 \, \text{cm}^3 = 90 \, \text{dm}^3 \]

Now, to calculate the amount of paint needed, we can use the following formula: \[ \text{Amount of paint needed (in grams)} = \text{Volume of the block (in dm}^3) \times \text{Paint consumption rate (in grams/dm}^3) \]

Substituting the given values: \[ \text{Amount of paint needed} = 90 \, \text{dm}^3 \times 2 \, \text{grams/dm}^3 \] \[ \text{Amount of paint needed} = 180 \, \text{grams} \]

Conclusion

Based on the calculations, Mikhail will need 180 grams of paint to cover the entire block. Therefore, the provided 200 grams of paint will be sufficient for the task.

I hope this explanation clarifies the calculation process! If you have any further questions or need additional assistance, feel free to ask.