Question

PLEASE HELP!!

A model stands on a scale and finds her weight to be 105 pounds. If
the pressure exerted by her feet on the scale is 2.16 pounds per
square inch, what is the area of her feet in cubic centimeters?
__cm2

Answer 1

313.5cm²

Step-by-step explanation:

Given parameters:

Weight of model = 105pounds

Pressure applied on the scale by model = 2.16pounds per square inch

Unknown:

Area of her feet in cm² = ?

Solution:

Pressure is the force per unit area;

Pressure =
`(Force)/(Area)`

Input the parameters and solve;

2.16 =
`(105)/(Area)`

105 = 2.16 x Area

Area =
`(105)/(2.16)` = 48.6in²

We need now to convert the in² to cm²

1in² = 6.45cm²

48.6in² = 48.6 x 6.45 = 313.5cm²