Math Problem Statement

  1. Distance 1km=1000m So, 3070km= 3070x1000= 3070000m

  2. Mass Ang 1 slug n'ya is equivalent to 14.5939kg (1 slug= 14.5939 kg)

So, 370 slug=370x 14.5939 = 5405.553 kg

  1. Density Ang 1g/cm³= 1000kg/m³

So, 22.59 g/cm²= 22.59x 1000= 22590 kg/m³

Solution

Let's review and correct any potential errors in your calculations:

  1. Distance Conversion:

1km=1000m1 \, \text{km} = 1000 \, \text{m} 3070km=3070×1000=3,070,000m3070 \, \text{km} = 3070 \times 1000 = 3{,}070{,}000 \, \text{m}

Your calculation for the distance is correct.

  1. Mass Conversion:

1slug=14.5939kg1 \, \text{slug} = 14.5939 \, \text{kg} 370slug=370×14.5939=5405.553kg370 \, \text{slug} = 370 \times 14.5939 = 5405.553 \, \text{kg}

Your calculation for the mass is also correct.

  1. Density Conversion:

1g/cm3=1000kg/m31 \, \text{g/cm}^3 = 1000 \, \text{kg/m}^3 22.59g/cm3=22.59×1000=22,590kg/m322.59 \, \text{g/cm}^3 = 22.59 \times 1000 = 22{,}590 \, \text{kg/m}^3

Your calculation for the density is correct as well.

All your conversions are accurate. Great job!

Would you like any details or have any questions?

Here are 8 related questions to expand on this topic:

  1. How would you convert 5 miles to meters?
  2. What is the mass in kilograms of 50 slugs?
  3. How do you convert 10 kg/m³ to g/cm³?
  4. What is the distance in kilometers for 5000 meters?
  5. If 1 liter of water has a mass of 1 kg, what is its density in g/cm³?
  6. How many grams are there in 3.5 kg?
  7. Convert 0.25 g/cm³ to kg/m³.
  8. How many millimeters are there in 2.5 meters?

Tip: When converting units, always double-check that you are using the correct conversion factor to avoid any errors.

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Math Problem Analysis

Mathematical Concepts

Unit Conversion

Formulas

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Theorems

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Suitable Grade Level

High School