+3 An empty, massless cube is measured to have all sides equal to 11 cm. It is floating in water and will slowly be filled with sand that has a density of 3.5 g/cm3. What volume of sand will cause the box to sink?
+6251 \(\mbox{The maximum volume of the box that is underwater is }11^3 cm^3 = 1331 cm^3\)
\(\mbox{Water weighs }1 \dfrac {g}{{cc}^3}\mbox{ so the maximum weight the box can displace is } 1331 g\)
\(\mbox{The sand has density }3.5 \dfrac {g}{{cc}^3}\)
\(\mbox{and thus a volume of }\dfrac {1331g}{3.5g/cc^3}=380.3 cc^3 \mbox{ of sand will sink the box.}\)
.+6251 \(\mbox{The maximum volume of the box that is underwater is }11^3 cm^3 = 1331 cm^3\)
\(\mbox{Water weighs }1 \dfrac {g}{{cc}^3}\mbox{ so the maximum weight the box can displace is } 1331 g\)
\(\mbox{The sand has density }3.5 \dfrac {g}{{cc}^3}\)
\(\mbox{and thus a volume of }\dfrac {1331g}{3.5g/cc^3}=380.3 cc^3 \mbox{ of sand will sink the box.}\)
