1. A hollow square metal tube has a measurement of 2.42 in for each side and a weight of 53.71 g. The volume of empty space inside the tube was measured to be 0.93 in3. If the density of the metal used in constructing the tube is 11.81 g/mL, calculate the length of the tube in inches.
1. A hollow square metal tube has a measurement of 2.42 in for each side and a weight of 53.71 g. The volume of empty space inside the tube was measured to be 0.93 in3. If the density of the metal used in constructing the tube is 11.81 g/mL, calculate the length of the tube in inches.
2. Porosity is a measure of the void or empty spaces in a material and is a fraction of the volume of voids over the total volume. The density of the solid material used to create 6 pieces of 0.99 cm diameter and 1.17 cm height cylindrical beads is determined to be 1.84 g/mL. These beads were then placed in a flask and were filled to the 43 mL mark with a salt solution. The total weight measured of the beads and the salt solution was 47.22 g. Upon further inspection, it was found that manufacturing defects caused the measured porosity of the beads to be at 20%. Assuming that the solution was able to fully fill the empty spaces inside the beads, calculate the density of the salt solution.
3. A chocolate manufacturing plant produces chocolate coated macadamia nuts. One specific batch of chocolates weighed an average of 4.52 g for each piece. It was found out that the macadamia nuts used in the batch had three total defects wherein 33.11 % had only three fourths a macadamia nut with a weight of 4.57 g for each piece, 12.28 % had only one half of a macadamia nut with a weight of 4.39 g for each piece, and 20.81 % had only one fourth of a macadamia nut with a weight of 4.03 g for each piece. Assuming that the amount of chocolate coating for each chocolate in the specific batch is constant and each whole macadamia nut weighs the same, calculate the weight of each piece of chocolate having a whole macadamia nut.
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