What is the density of a block of material with dimensions of 12 cm × 6 cm × 2 cm and mass 356 g?

To determine the density of the block, we use the formula for density, which is defined as mass divided by volume. First, we need to calculate the volume of the block using its dimensions.

The dimensions given are 12 cm, 6 cm, and 2 cm. The volume (V) can be calculated by multiplying these three dimensions together: [ V = \text{length} \times \text{width} \times \text{height} ]

[ V = 12 , \text{cm} \times 6 , \text{cm} \times 2 , \text{cm} ] [ V = 144 , \text{cm}^3 ]

Now that we have the volume, we can calculate the density (D) using the mass, which is given as 356 g: [ D = \frac{\text{mass}}{\text{volume}} ] [ D = \frac{356 , \text{g}}{144 , \text{cm}^3} ]

Next, performing the division gives: [ D \approx 2.47 , \text{g/cm}^3 ]

This result shows that