To find the density of the rectangular block of steel, we can use the formula for density:
Density (ρ) = Mass (m) / Volume (V)
In this case, we know that the mass of the steel block is 93.6 grams. Now, we need to calculate the volume of the block, which can be found using the dimensions provided:
Dimensions of the block are:
- Length = 4 cm
- Width = 2 cm
- Height = 1.5 cm
The volume of a rectangular block is calculated using the formula:
Volume (V) = Length × Width × Height
Substituting the values:
V = 4 cm × 2 cm × 1.5 cm = 12 cm³
Now, we can use the mass and volume to calculate the density:
ρ = 93.6 grams / 12 cm³ = 7.8 grams/cm³
Therefore, the density of the steel block is 7.8 grams per cubic centimeter.