If you tried to smuggle gold bricks by filling your backpack, whose dimensions are 63 cm*29 cm*20cm, what would its mass be?
mass= densitygold*volume=densitygold*63*29*20 cm^3
density gold=19.3 g/cm^3
To calculate the mass of the gold bricks, we need to know the density of gold. The density of gold is approximately 19.32 grams per cubic centimeter (g/cm³).
The volume of your backpack can be calculated by multiplying its dimensions together:
Volume = length × width × height
= 63 cm × 29 cm × 20 cm
= 36,540 cm³
Since we need the mass, we can use the formula:
Mass = Density × Volume
Mass = 19.32 g/cm³ × 36,540 cm³
Calculating this gives us:
Mass = 706,648.8 grams
Therefore, the mass of the gold bricks filling your backpack would be approximately 706,648.8 grams or 706.65 kg.
To determine the mass of the gold bricks that can be fit into a backpack, we need to know the density of gold. The density of gold is approximately 19.3 grams per cubic centimeter (g/cm^3).
First, let's calculate the volume of the backpack:
Volume = Length * Width * Height
Volume = 63 cm * 29 cm * 20 cm
Next, we can calculate the mass of the gold bricks using the formula:
Mass = Density * Volume
Mass = 19.3 g/cm^3 * (63 cm * 29 cm * 20 cm)
Now, let's perform the calculation:
Mass = 19.3 g/cm^3 * (63 cm * 29 cm * 20 cm)
= 19.3 g/cm^3 * 36,540 cm^3
By multiplying the density of gold by the volume of the backpack, we can find the mass of the gold bricks. The result is the mass of the gold that the backpack can hold.