1) Question : 1- How many milliliters (mL) are there in 2000 cubic centimeters (cm³)? (Given: 1 cm³ = 1 mL, 1 m³ = 1,000 L).
Explanation: This might sound straightforward initially, but it could get harder because we are converting between different units. First, we start with 2000 cm³ Then, we multiply 2000 cm³ x 1mL/ 1cm^3= 2000 mL. To confirm, we have cm³ in the numerator and cm³ in the denominator, which can be canceled out; mL is the only one left in the numerator, which aligns with the final unit product.
2) Question : How many liters are there in 3.5 cubic centimeters (cm³)? (Given: 1 cm³ = 1 mL, 1 m³ = 1,000 L).
3) Question : How many cm3 are in 0.4 m3
Explanation: This is tricky. So, we started with 0.4 m3 and our goal is to convert it into cm3, not cm!!!
First, some students might wrongly apply the conversion factor: 0.4 m3 x 100cm/1m= 40 cm3, but that is totally wrong!This is a common traps students fall through.
You must make sure that 0.4m3 is multiplied by a conversion factor that explicitly include cm3 and m3 and not cm. So, the correct way is as follows: 0.4m3 x(100cm/1m)^3, which is equivalent to 0.4m3 x 1,000,000cm3/1m3= 400,000 cm3
4) Question : How many cubic meters (m³) are there in 2500 milliliters (mL)?(Given: 1 cm³ = 1 mL, 1 m³ = 1,000 L)
5) Question : How many cubic meters (m³) are there in 3,000 teaspoons (tsp)? (Given: 1 cm³ = 1 mL, 1 m³ = 1,000 L, 1tsp=4.93 mL).
6) Question : How many cubic centimeters (cm³) are there in 5,000 cups (US)? (Given: 1 cup = 236.6 mL, and 1 mL = 1 cm³)
7) Question : How many cubic meters (m³) are there in 7,500 gallons (US)? (Given: 1 gallon (US) = 3.8 liters, 1 cm3= 1 mL)
8) Question : How many cubic kilometers (km3) are there in 3 cm3
9) Question : How many cubic kilometers (km^3) is in 1.2 L
