Question

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.

Answer 1

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

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