Question

Convert 8.24 g/cm2(means squared) to mg/mm2 using dimensional analysis

Answer 1

82.4 mg/mm²

Explanation:

You want to convert 8.24 g/cm² to units of mg/mm².

Dimension change

Multiply by the conversion factors that cancel the unwanted units, leaving the wanted units.

`\frac{8.24\text{ g}}{\text{cm}^2}=\frac{8.24\text{ g}}{\text{cm}^2}\cdot\frac{1000\text{ mg}}{\text{g}}\cdot\left(\frac{1\text{ cm}}{10\text{ mm}}\right)^2=\frac{8.24\cdot1000\text{ mg}}{100\text{ mm}^2}\\\\=\boxed{82.4\text{ mg/mm$^2$}}`