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:
Volume = 9.2 cm x 4.1 cm x 17.8 cm ≈ 664.9 cm³
b. The weight of each bar can be calculated by multiplying the volume by the weight of gold per cubic centimeter:
Weight = 664.9 cm³ x 19.3 g/cm³ ≈ 12,827.6 grams
Rounded to the nearest gram: Each bar weighs approximately 12,828 grams.