Math Snap

STEP 1

Assumptions1. The given measurement is $9. \frac{\mathrm{g} \cdot \mathrm{cm}^{3}}{\mathrm{~g} \cdot \mathrm{cm}^{}}$
. We need to simplify the unit if possible

STEP 2

First, we need to understand the unit of the given measurement. It's a ratio of mass times volume (grams times cubic centimeters) to mass times area (grams times square centimeters).

STEP 3

To simplify the unit, we can cancel out the common terms in the numerator and the denominator.

STEP 4

The grams (g) in the numerator and denominator cancel out.
$$9.2 \frac{\mathrm{g} \cdot \mathrm{cm}^{3}}{\mathrm{~g} \cdot \mathrm{cm}^{2}} =9.2 \frac{\mathrm{cm}^{3}}{\mathrm{cm}^{2}}$$

STEP 5

Next, we can simplify the cubic centimeters (cm^3) and square centimeters (cm^2) by subtracting the exponent in the denominator from the exponent in the numerator.

The cubic centimeters (cm^3) and square centimeters (cm^2) simplify to centimeters (cm).
$$9.2 \frac{\mathrm{cm}^{3}}{\mathrm{cm}^{2}} =9.2 \mathrm{cm}$$The simplified unit for the given measurement is cm (centimeters).