The gold at Fort Knox is stored in bars that measure 9.2 cm by 4.1 cm by 17.8 cm. Gold weighs 19.3 grams per cubic centimeter.
a. What is the volume of each bar? Round to the nearest 0.1 cm³.
b. What is the weight of each bar? Round to the nearest gram
a. The volume of each bar can be calculated by multiplying the three dimensions together: 9.2 cm x 4.1 cm x 17.8 cm = 669.416 cm³. Rounded to the nearest 0.1 cm³, the volume of each bar is approximately 669.4 cm³.
b. To find the weight of each bar, we need to multiply the volume by the weight of gold per cubic centimeter: 669.4 cm³ x 19.3 g/cm³ = 12,912.42 grams. Rounded to the nearest gram, the weight of each bar is approximately 12,912 grams.