If you tried to smuggle gold bricks by filling your backpack, whose dimensions are $54 \textrm{ cm} \times 31 \textrm{ cm} \times 22 \textrm{ cm}$, what would its mass be?

VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. Density is mass divided by volume and we can solve for mass by multiplying both sides by V and so the mass of the gold will be gold's density times the volume of the backpack. So that's 19.3 times 10 to the 3 kilograms per cubic meter— density of gold— times 54 centimeters times 31 centimeters times 22 centimeters— dimensions of the backpack, we assume it to be a rectangle. And then we have to multiply it by 1 meter for every 100 centimeters cubed to convert all these into meters and then you get 710 kilograms would be the mass of the backpack.