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

`\boxed{\textbf{0.0046 g/cm}^(2)}`

Step-by-step explanation:

1. Convert inches to centimetres

`l= \text{4.1 in} * \frac{\text{2.54 cm}}{\text{1 in}} = \text{10.2 cm}\\\\w= \text{3.5 in} * \frac{\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} = \frac{\text{0.415 g}}{\text{90.3 cm}^(2)} = \textbf{0.0046 g/cm}^(2)\\\\\text{The absorber thickness is $\boxed{\textbf{0.0046 g/cm}^(2)}$}`