A rectangular block has dimensions 1.5cm x 3.2cm x 3.9cm and a mass of 61g.
Determine the density in SI units
My taking on the question,
Mass= 0.061kg
Volume= 0.1872m
Density=0.061kg/0.1872m=0.3258547kgm^-3
Can someone please tell me where I'm going wrong?
V = 0.015*0.032*0.039=1.872*10^-6 m^3.
Mass = 0.061 kg.
D = 6.1*10^-2kg/1.872*10^-6m^3
D = 3.26*10^4 = 32,600 kg/m^3.
61g/18.72m
equals 61000g/1872cm
32.585g/cm
changed to 3258.54 kg/m
Your calculations are correct, but there seems to be a mistake in your conversion from centimeters to meters for the volume. Let me show you the correct calculations step by step:
Given:
Dimensions: 1.5cm x 3.2cm x 3.9cm
Mass: 61g
Step 1: Convert mass to kilograms
Mass = 61g = 0.061kg (since 1kg = 1000g)
Step 2: Calculate the volume in cubic meters
Volume = Length x Width x Height
Volume = 1.5cm x 3.2cm x 3.9cm
To convert cubic centimeters (cm³) to cubic meters (m³), we need to divide by 1,000,000 (since 1m³ = 1,000,000cm³).
Volume = (1.5cm x 3.2cm x 3.9cm) / 1,000,000cm³
Volume = 0.01872m³ (corrected volume)
Step 3: Calculate density in SI units
Density = Mass / Volume
Density = 0.061kg / 0.01872m³
Density = 3.26 kg/m³ (rounding to two decimal places)
So, the correct density of the rectangular block is 3.26 kg/m³ in SI units.