Question

Which of the following fractions can be used in the conversion of 1500 dm3 to cm3? (2 points) fraction cubed: ten to the negative first power m over one dm fraction cubed: ten to the negative second power cm over one dm fraction cubed: one cm over ten to the negative second dm fraction cubed: one meter over ten to the negative first power dm

Answer 1

We need to identify the fractions that can be used in converting dm³ to cm³ but first, we need to know what is dm and cm. The dm unit is decimeter and cm unit is for centimeter. We also need to take note that 1 decimeter is equal to 10 centimeters. Thus, the conversion of cubed dm to cubed cm is shown below:
1500 dm³ * (10 cm / 1 dm)³ , we distribute cube
= 1500 dm³ * 10³cm³ / dm³
= 1500 dm³ * 1000 cm³ / dm³, we cancel dm³ unit and the only cm³ will be left out such as:
= 1,500,000 cm³ 

The answer is the last in the choices which is "1 meter over 10 to the first power dm".