$\text{slope}=\frac{({y}_{2}-{y}_{1})}{({x}_{2}-{x}_{1})}$
mass m = density ρ × Volume V $\text{density}\phantom{\rule{1ex}{0ex}}\rho =\frac{\text{mass}\phantom{\rule{1ex}{0ex}}m}{\text{Volume}\phantom{\rule{1ex}{0ex}}V}$

The graph shows soap density data. Use the graphed data to answer the following questions.

__________ _____ Calculate the density ρ of Dial Basic soap. Include the units.

______________ Based on the density, will Dial Basic soap floatorsink?

__________ _____ Calculate the density ρ of Jergens soap.

______________ Based on the density, will Jergens soap floatorsink?

__________ _____ Calculate the density ρ of Ivory soap.

______________ Based on the density, will Ivory soap floatorsink?

__________ _____ What is the density of water in grams per cubic centimeter?

__________ _____ Calculate the density ρ of Neutrona soap.

______________ Based on the density, will Neutrona soap floatorsink?

A student gathered the data seen in the table below.

Plot the soap data on the graph.

__________ __________ Calculate the density of the soap. Include the units with your answer.

______________ Based on the slope, will this soap [float]OR[sink]?

______________ Based on the slope, is this soap likely to be IvoryORDial soap?

__________ __________ Calculate the mass of this soap for a volume of 200 cm³.

__________ __________ Calculate the volume of this soap for a mass of 240 g.

In laboratory one on a graph of volumeversusmass for soap, what physical quantity did the slope represent?

Critical thinking: Some laboratory groups obtained slopes which incorrectly predicted whether their soap would float or sink. Which are they more likely to have measured incorrectly and WHY: the volume or the mass?