A rectangular block of copper metal weighs 1896 g. The dimensions of the block are 8.4 cm by 5.5 cm by 4.6 cm. From this data, what is the density of copper?

To find the density of the copper block, we need to follow these steps:

Step 1: Find the volume of the block. The volume of a rectangular block is found by multiplying its length, width, and height. So, the volume of the block is 8.4 cm * 5.5 cm * 4.6 cm = 212.52 cubic cm.

Step 2: Convert the mass of the block from grams to kilograms, because the standard unit of density is kg/m^3. 1 gram is equal to 0.001 kilograms, so 1896 g = 1.896 kg.

Step 3: Convert the volume from cubic cm to cubic meters, because the standard unit of volume is cubic meters. 1 cubic cm is equal to 1e-6 cubic meters, so 212.52 cubic cm = 0.00021252 cubic meters.

Step 4: Calculate the density. The density of an object is found by dividing its mass by its volume. So, the density of the block is 1.896 kg / 0.00021252 m^3 = 8917.53 kg/m^3.

So, the density of the copper block is approximately 8917.53 kg/m^3.