Figure a1.4.1 a b c 0.7 cm depth (a) 1.0 cm cm base dimensions (b, c) 1.0 cm 1.0 cm 1.0 cm 1.0 cm 1.0 cm 1.0 cm volume ( 1.0 cm3 cm3 cm3 1.0 g/cm 1.0 g/cm 1.0 g/cm density (p) 0.3 g mass (m) 1. now imagine that you know the volume of the solid (v, measured in cm3) and the length of two of the three sides, b and c (measured in cm). explain in words or with an equation how you can calculate the length of the remaining side, a 2. the relationship between mass, density, and volume is that mass (m, measured in grams, g) is the product of density (p, measured in g/cm3) times volume (cm3): p x v. recall that the greek letter rho (p) is used to represent density a. if you know mass and density, you can calculate the volume. how? b. if you know volume and density, you can calculate mass. how? 3. use the relationships you just described to compute the values needed to fill in the blanks in the table in fig. a1.4.10 4. imagine a rectangular prism of pure water whose density (p) is 1.0 g/cm3 the base of this imaginary prism is 1 cm on a side, and the remaining side of the prism is the water depth (a) measured in cm. the mass (m) of that prism of water, expressed in grams, is related to the water depth (a) in the following way: the the value of m value of a is