Question

A typical sheet of weighing paper is 3.5 inches by 4.1 inches and weighs 0.45 g. What is its absorber thickness in g/cm^{2} 2 ?

Answer 1

Answer:

$\boxed{\textbf{0.0046 g/cm}^{2}}$

Explanation:

1. Convert inches to centimetres

$l= \text{4.1 in} \times \dfrac{\text{2.54 cm}}{\text{1 in}} = \text{10.2 cm}\\\\w= \text{3.5 in} \times \dfrac{\text{2.54 cm}}{\text{1 in}} = \text{8.89 cm}$

2. Calculate the area

A = lw = 10.2 × 8.89= 90.3 cm²

3. Calculate the absorber thickness

$\text{Absorber thickness} = \dfrac{\text{0.415 g}}{\text{90.3 cm}^{2}} = \textbf{0.0046 g/cm}^{2}\\\\\text{The absorber thickness is \boxed{\textbf{0.0046 g/cm}^{2}} }$