The following are the dimensions of a metallic plate length=15.6±0.1cm, width=5.51±0.02cm, thickness=0.84±001cm and mass=12.512±0.002g.

Calculate the density of the plate and indicate the order of accuracy

1 answer

To calculate the density of the plate, we need to divide the mass by the volume. The volume can be calculated by multiplying the length, width, and thickness together.

Volume = length * width * thickness = 15.6 cm * 5.51 cm * 0.84 cm

Next, we calculate the density by dividing the mass by the volume:

Density = mass / volume = 12.512 g / (15.6 cm * 5.51 cm * 0.84 cm)

Simplifying the units, we have:

Density = 12.512 g / (70.7304 cm^3)

The order of accuracy refers to the number of significant figures in the result. To determine the order of accuracy, we look at the measurement with the least number of decimal places, which is the mass: 12.512 g.

Since the mass measurement is given to two decimal places, the density should also be rounded to two decimal places.

Hence, the density of the plate is 0.18 g/cm^3, and the order of accuracy is 2 significant figures.