Answer to Question #283286 in Physics for ellea

Question

If you tried to smuggle gold bricks by filling your backpack, whose dimensions are 54 cm x 31 cm x 22 cm, what would its mass be?

Write the Given, Required and Solution Express your final answer

in proper significant figure.

Answer 1

Given

Dimensions of the backpack V = a×b×c: 54 cm x 31 cm x 22 cm

Density of gold ρ: 19300 kg/m³

Required

Mass of the backpack filled with gold M

Solution

The mass is density times volume:

$$M=\rho v=\rho abc,\\ M=19300·0.54·0.31·0.22=710.8\text{ kg}.$$