Question

12дм3 8см3 2мм3 сравнить 12дм3 8см3 6мм3 ; 2м3 7дм3 8см3 9мм3 сравнить 3м3 2дм3 1см3 4мм3 ; 15м3 29дм3 7дм3 2мм3 сравнить 15м3 2дм3 5см3 2мм3

Answer 1

12 дм3 8см3 2мм3<12дс3 8см3 6мм3
2м3 7дм3 8см3 9мм3<3м3 2дм3 1см3 4 мм3
15м3 29дм3 7см3 2мм3>15м3 2дм3 5см3 2мм3

Answer 2

To compare the given volumes, we need to convert all the volumes to the same unit of measurement. Let's convert everything to cubic centimeters (cm³) since it's a commonly used unit.

1 decimeter (dm) = 10 cm 1 meter (m) = 100 cm

1. Comparing 12dm³ 8cm³ 2mm³ and 12dm³ 8cm³ 6mm³: 12 dm³ = 12 * 10 * 10 * 10 = 12,000 cm³ 8 cm³ = 8 cm³ 2 mm³ = 2 mm³

12 dm³ 8 cm³ 2 mm³ = 12,000 cm³ + 8 cm³ + 2 mm³ = 12,000 cm³ + 8 cm³ + 0.2 cm³ = 12,008.2 cm³

12 dm³ 8 cm³ 6 mm³ = 12,000 cm³ + 8 cm³ + 6 mm³ = 12,000 cm³ + 8 cm³ + 0.6 cm³ = 12,008.6 cm³

Since 12,008.6 cm³ is greater than 12,008.2 cm³, the first volume is larger than the second.

2. Comparing 2m³ 7dm³ 8cm³ 9mm³ and 3m³ 2dm³ 1cm³ 4mm³: 2 m³ = 2 * 100 * 100 * 100 = 2,000,000 cm³ 7 dm³ = 7 * 10 * 10 * 10 = 7,000 cm³ 8 cm³ = 8 cm³ 9 mm³ = 9 mm³

2m³ 7dm³ 8cm³ 9mm³ = 2,000,000 cm³ + 7,000 cm³ + 8 cm³ + 0.9 cm³ = 2,007,008.9 cm³

3m³ 2dm³ 1cm³ 4mm³ = 3,000,000 cm³ + 2,000 cm³ + 1 cm³ + 0.4 cm³ = 3,002,001.4 cm³

Since 3,002,001.4 cm³ is greater than 2,007,008.9 cm³, the second volume is larger than the first.

3. Comparing 15m³ 29dm³ 7dm³ 2mm³ and 15m³ 2dm³ 5cm³ 2mm³: 15 m³ = 15 * 100 * 100 * 100 = 1,500,000 cm³ 29 dm³ = 29 * 10 * 10 * 10 = 29,000 cm³ 7 dm³ = 7 * 10 * 10 * 10 = 7,000 cm³ 2 mm³ = 2 mm³

15m³ 29dm³ 7dm³ 2mm³ = 1,500,000 cm³ + 29,000 cm³ + 7,000 cm³ + 0.2 cm³ = 1,536,000.2 cm³

15m³ 2dm³ 5cm³ 2mm³ = 1,500,000 cm³ + 2,000 cm³ + 5 cm³ + 0.2 cm³ = 1,502,005.2 cm³

Since 1,536,000.2 cm³ is greater than 1,502,005.2 cm³, the first volume is larger than the second.