Potato Density#
For their first lab, Abbas decides to measure the density of a potato. They notice that it’s an unusual shape and floats, so it’s hard to calculate its volume. The potato’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 2 inches, and the potato’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 potato’s mass (\(m_p\))?
Answer Section#
Please enter in a numeric value in \(kg\).
Part 2#
In SI units what is the cube of potato’s mass (\(m\_{cp}\))?
Answer Section#
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?
Answer Section#
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!)
Answer Section#
Please enter in a numeric value in \(m^3\).
Attribution#
Problem is licensed under the CC-BY-NC-SA 4.0 license.