Question

part 1c 3 marks (lesson 1b) choose 1 of 2 answer the following question related to density remember significant digits a) calculate the mass of a block of aluminum with dimensions 12 cm long, 5 cm wide, and 3 cm high. the density of aluminum is 2.70 g/cm³. b) calculate the mass of a block of copper with dimensions 150.1 cm long, 11 cm wide, and 4.9 cm high. the density of copper is 8.96 g/cm³.

Explanation:

Step1: Calculate volume of aluminum block

$V_{aluminum}=l\times w\times h = 12\times5\times3= 180\ cm^{3}$

Step2: Calculate mass of aluminum block

Using the formula $
ho=\frac{m}{V}$, we can get $m =
ho\times V$. So $m_{aluminum}=2.70\times180 = 486\ g$

Step3: Calculate volume of copper block

$V_{copper}=l\times w\times h=150.1\times11\times4.9 = 150.1\times53.9 = 8090.39\ cm^{3}$

Step4: Calculate mass of copper block

$m_{copper}=
ho\times V=8.96\times8090.39\approx72589\ g$ (rounded to significant - digits)

Answer:

a) 486 g
b) 72589 g