Q83E - Chemistry (OpenStax)

Question

Question: A chemistry student is 159cm tall and weighs 45.8 kg. What is her height in inches and weight in pounds?

Step-by-Step Solution

Answer

The weight of the student is = 100.989 ≃ 101 pounds and the height of the student is = 62.6 inches.

Step 1: Determining the conversion used for cm to inches and kg to pound

Conversions used for cm to inches are:

1 cm = 0.394 inches

Conversions used for kg to pound are:

1 kg = 2.205 pound

Step 2: To determine the weight and height of the student in pounds and inches respectively

1 cm height = 0.394 inches

\(\begin{array}{l}\frac{{159cm}}{{1cm}} \times 0.394inches\\ = 62.646inches\end{array}\)

So, 159 cm height of the student = 62.646 inches        

1 kg weight = 2.205 pound

\(\begin{array}{l}\frac{{45.8kg}}{{1kg}} \times 2.205pound\\ = 100.989pound\end{array}\)

45.8 kg weight of the student =100.989 pound