# Potato Density#

For their first lab, Maya decides to measure the density of a potato. They notice that itâ€™s an unusual shape and floats, so itâ€™s hard to calculate its volume. The potatoâ€™s mass is measured to be $$g$$. They then cut the potato into a cube and measure that the sides of the cube have length 4 inches, and the potatoâ€™s mass is $$g$$. For a uniform density potato, the mass and volume are proportional.

(Useful conversions: 1 $$\textrm{inch}$$ = 2.54 $$cm$$, 1 $$cm$$ = $$10^{-2}$$ $$m$$, 1 $$g$$ = $$10^{-3}$$ $$kg$$).

## Part 1#

In SI units what is the potatoâ€™s mass ($$m_p$$)?

Please enter in a numeric value in $$kg$$.

## Part 2#

In SI units what is the cube of potatoâ€™s mass ($$m\_{cp}$$)?

Please enter in a numeric value in $$kg$$.

## Part 3#

In SI units, what is the volume of the cube of potato after it has been cut?

Please enter in a numeric value in $$m^3$$.

## Part 4#

In SI units, what is the volume of the original potato?

(Hint: use proportional reasoning!)

Please enter in a numeric value in $$m^3$$.