a block of metal has a width of 3.2cm, a length of 17.1cm, and a height of 3.7cm. its mass is 1.3kg. calculate the density

how is .006421 expressed as two significant figures for density

You should change the kg to grams.

I get 6.420895 which rounds to 6.4 to two s.f.
volume = l x w x h = ? cc
mass = 1300 g
density = mass/volume = ? g/cc.

2cm long,2cm wide,1cm tall

To calculate the density of the block of metal, you'll need to use the formula:

Density = Mass / Volume

First, let's calculate the volume of the block of metal by multiplying its width, length, and height:

Volume = Width × Length × Height

Volume = 3.2 cm × 17.1 cm × 3.7 cm

Now, convert the volume to cubic centimeters (cm³) to match the units of the density:

Volume = 3.2 cm × 17.1 cm × 3.7 cm = 198.912 cm³

Next, substitute the given mass and calculated volume into the density formula:

Density = 1.3 kg / 198.912 cm³

The mass is provided in kilograms (kg), so you'll need to convert it to grams (g) to match the units of the volume:

Density = 1.3 kg / 198.912 cm³ = 1300 g / 198.912 cm³

Finally, divide the mass by the volume to find the density:

Density ≈ 6.53 g/cm³

Therefore, the density of the block of metal is approximately 6.53 g/cm³.