what is the density of a block of unknown material with a mass of 11.56g if the dimension are length = 2.2cm, height =1.7cm, width =6.1cm
volume = l x w x h
Substitute and calculate volume
Then density = mass/volume =?
density= 11.56/22.814 = 0.507 g/cm^3
To find the density of a block, you need to know its mass and volume. In this case, you have the mass of the block, but you need to calculate its volume first using the given dimensions. Once you have the volume, you can calculate the density.
Step 1: Calculate the volume of the block:
The volume of a rectangular block can be calculated by multiplying its length (L), height (H), and width (W), using the formula:
Volume (V) = L x H x W
Given:
Length (L) = 2.2 cm
Height (H) = 1.7 cm
Width (W) = 6.1 cm
Calculating the volume:
V = 2.2 cm x 1.7 cm x 6.1 cm
V ≈ 24.47 cm³
Step 2: Calculate the density of the block:
Density (D) is defined as the mass (M) of an object divided by its volume (V), using the formula:
Density (D) = M / V
Given:
Mass (M) = 11.56 g
Volume (V) = 24.47 cm³
Calculating the density:
D = 11.56 g / 24.47 cm³
D ≈ 0.473 g/cm³ (rounded to three decimal places)
Therefore, the density of the block is approximately 0.473 g/cm³.