Question

In the classic British heist movie "The Italian Job", thieves steal gold bullion. One plan was to carry the ingots of gold off in suitcases. If each suitcase were 19 inches x 14 inches x 10 inches, approximately how much would each suitcase weigh, in kg, when filled with gold? (The density of gold is 19.3 g/mL and 1 inch= 2.54 cm)

Answer 1

Each suitcase, when filled with gold, would weigh approximately 841.89 kg.

Step-by-step explanation:

To find out how much each suitcase would weigh when filled with gold, we need to calculate the volume of gold that can fit into the suitcase and then determine the mass using the density. First, we need to convert the dimensions of the suitcase from inches to centimeters. The dimensions in centimeters are 48.26 cm x 35.56 cm x 25.4 cm. Next, we can calculate the volume of the suitcase by multiplying the length, width, and height. The volume is 48.26 cm x 35.56 cm x 25.4 cm = 43,580.5 cm³. Since the density of gold is 19.3 g/cm³, we can multiply the volume by the density to find the mass of gold in the suitcase. The mass is 43,580.5 cm³ x 19.3 g/cm³ = 841,894.65 g. To convert grams to kilograms, we divide by 1000, so the mass of gold in each suitcase is approximately 841.89 kg.