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In Mathematics / High School | 2025-07-03

1. 18 l = ... dm³
2. 12 cm³ 1.2 mm³ = ... mm³
3. 1 m³ 79 dm³ = ... dm³
4. 52 l 36 cm³ = ... cm³
5. 2 m³ 10 dm³ = ... l
6. 36000 cm³ = ... dm³
7. 11 dm³ 365 cm³ = ... cm³
8. 12 dm³ + ... cm³ = 15 dm³ 72 cm³
9. 45 l - ... dm³ 320 cm³ = 19 dm³ 680 cm³

Asked by baddie9003

Answer (1)

Let's work through these unit conversions one by one. The key here is understanding the relationships between liters (L), cubic decimeters (dm³), cubic centimeters (cm³), and cubic millimeters (mm³).

18 l = ... dm³ One liter is equal to one cubic decimeter. Therefore, 18 liters = 18 dm³.

12 cm³ 1.2 mm³ = ... mm³ First, convert 12 cm³ to mm³. Since 1 cm³ = 1000 mm³, 12 cm³ = 12 x 1000 mm³ = 12000 mm³. Add 1.2 mm³ to this. So, 12 cm³ 1.2 mm³ = 12000 + 1.2 mm³ = 12001.2 mm³.

1 m³ 79 dm³ = ... dm³ One cubic meter is equal to 1000 cubic decimeters. So, 1 m³ = 1000 dm³. Thus, 1 m³ 79 dm³ = 1000 dm³ + 79 dm³ = 1079 dm³.

52 l 36 cm³ = ... cm³ Since 1 liter = 1000 cm³, 52 liters = 52 x 1000 cm³ = 52000 cm³. Add the 36 cm³. Thus, 52 l 36 cm³ = 52000 cm³ + 36 cm³ = 52036 cm³.

2 m³ 10 dm³ = ... l First, convert everything to liters. We know 1 m³ = 1000 liters, so 2 m³ = 2000 liters. Also, 10 dm³ is 10 liters. Therefore, 2 m³ 10 dm³ = 2000 liters + 10 liters = 2010 liters.

36000 cm³ = ... dm³ Since 1 dm³ = 1000 cm³, we convert by dividing the cubic centimeters by 1000. 36000 cm³ = 36000 ÷ 1000 dm³ = 36 dm³.

11 dm³ 365 cm³ = ... cm³ Convert 11 dm³ into cm³: 11 dm³ = 11 x 1000 cm³ = 11000 cm³. Add the 365 cm³: 11000 cm³ + 365 cm³ = 11365 cm³.

12 dm³ + ... cm³ = 15 dm³ 72 cm³ Convert everything to cm³ first: 12 dm³ = 12000 cm³, and 15 dm³ 72 cm³ = 15072 cm³. Now, solve for the missing amount in cm³: 15072 cm³ - 12000 cm³ = 3072 cm³.

45 l - ... dm³ 320 cm³ = 19 dm³ 680 cm³ First, convert liters to dm³ since 1 l = 1 dm³, which means 45 l = 45 dm³. Convert all to cm³: 45 l = 45000 cm³ and 19 dm³ 680 cm³ = 19680 cm³. Now, find the difference: 45000 cm³ - 19680 cm³ = 25320 cm³. Convert 25320 cm³ to dm³ and cm³: 25 dm³ 320 cm³. So, 45 l - 25 dm³ 320 cm³ = 19 dm³ 680 cm³.


Each part involves understanding the conversions between metric volume units and applying them step-by-step to find the desired result.

Answered by BenjaminOwenLewis | 2025-07-07

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