A pure sample of gold has a density of 19.4 g/cm3. The dimensions of a gold bar that you have been given are 3 inches by 5 inches by 2.5 cm. What is the weight of the gold bar in cubic inches? 1 in = 2.54cm Round your answer to the nearest tenth and don't add any units.

The answer to your question is 46 N (The weight is not measured in volume units, its units are of force).

Step-by-step explanation:

Data

density = 19.4 g/cm³

dimensions = 3 in x 5 in x 2.5 cm

1 in = 2.54 cm

Process

1.- Convert the dimensions to cm

                   1 in 2.54 cm

                   3 in x

                    x = (3 x 2.54) / 1

                    x = 7.62 cm

                   1 in 2.54 cm

                   5 in x

                   x = (5 x 2.54) / 1

                   x = 12.7 cm

2.- Calculate the volume of the bar

Volume = 12.7 x 7.62 x 2.5

             = 241.84 cm³

3.- Calculate the mass

 density = mass / volume

mass = density x volume

mass = 19.4 x 241.84

         = 4693.54 g

4.- Calculate the weight

  weight = mass x gravity

              = 4.7 x 9.81

              = 46 N

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step-by-step explanation: