Answered

A boy stands on a scale and finds his weight to be 76.4 lb. If his
feet cover an area of 16.9in², how much pressure in lb/in² is the
boy applying to the scale?
lb/in²
Round your answer to the second decimal place and do not type units in your
answer.
Enter the answer

Verified Answer :

GinnyAnswer

To determine the pressure in pounds per square inch (lb/in²) that the boy is applying to the scale, follow these steps:

1. Find the Boy's Weight: The weight of the boy is given as 76.4 pounds.

2. Determine the Area Covered by His Feet: The area covered by his feet is stated as 16.9 square inches.

3. Calculate the Pressure: Pressure is defined as the force (weight) divided by the area over which this force is applied. The formula for pressure is:

\(\[ \text{Pressure} = \frac{\text{Weight}}{\text{Area}} \]\)

Plug in the given values:

\(\[ \text{Pressure} = \frac{76.4\ \text{lb}}{16.9\ \text{in}^2} \]\)

\(\[ \text{Pressure} \approx 4.520710059171598 \]\)

4. Round to the Second Decimal Place: To match the required precision, round the pressure to the second decimal place:

\(\[ \text{Pressure} \approx 4.52 \]\)

Therefore, the pressure that the boy is applying to the scale is 4.52 lb/in².

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