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12) the diagrams below represent four solid objects made of the same un…

Question

  1. the diagrams below represent four solid objects made of the same uniform material. the accepted values for the volume and mass of each object are given, except for the volume of object a. what is the volume of object a? a) 4.00 cm³ b) 8.00 cm³ c) 2.00 cm³ d) 1.00 cm³

Explanation:

Step1: Calculate density of object B

Density formula is $
ho=\frac{m}{V}$. For object B, $m = 6.30\ g$ and $V=3.15\ cm^{3}$. So $
ho=\frac{6.30}{3.15}= 2\ g/cm^{3}$.

Step2: Calculate volume of object A

Since all objects are of same material, density of A is same as B ($
ho = 2\ g/cm^{3}$). For object A, $m = 8.00\ g$. Using $V=\frac{m}{
ho}$, we have $V=\frac{8.00}{2}=4.00\ cm^{3}$.

Answer:

A. $4.00\ cm^{3}$