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Chapter 1: Q58. (page 20)

The following formula estimates an average person鈥檚 lung capacity V(in litres, where1L=103cm3):

V=4.1H-0.018A-2.7,

Where H and A are the person鈥檚 height (in metres) and age (in years) respectively. In this formula, what are the units of the numbers 4.1, 0.018, and 2.7?

Short Answer

Expert verified

The unit of the value 4.1 is L/m, of 0.018 is L/yr, and of 2.7 is L.

Step by step solution

01

Step 1. Definition of volume

Volume is defined as the amount of space occupied by an object. Some commonly used units of volume are cubic meters (m3), liters (L), and gallons (ga).

02

Step 2. Identification of the given data

The estimated lung capacity of a person is V=4.1H-0.018A-2.7.

The person's height (in meters) is H and their age (in years) is A.

Since the volume is given in liters, the units of all the terms will be liters.

03

Step 3. Determination of the unit of the value 4.1

[Unit of 4.1] [m] = [L]

This implies, [Unit of 4.1] =L/m

04

Step 4. Determination of the unit of the value 0.018

[Unit of 0.018] [yr] = [L]

This implies, [Unit of 0.018] =L/yr

05

Step 5. Determination of the unit of the value 0.018

[Unit of 0.2.7] = [L]

This implies, [Unit of 0.027] = L

Thus, the unit of the value 4.1 is L/m, of 0.018 is L/yr, and of 2.7 is L.

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