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Chapter 1: Q8. (page 17)

L2represents the dimensions for which of the following?

(a) cm2

(b) square feet

(c) m2

(d) All the above

Short Answer

Expert verified

The correct option is (d).

Step by step solution

01

Step 1. Relation between the length and area 

The dimension of any quantity is defined as the extent of the measurement of a particular kind. There are three fundamental dimensions with the help of which the others are derived.

You know that the dimension of the length is L. You also know that Area=Length2.

02

Step 2. Calculation of the dimension of the area

The dimension of the area is

A=LLA=L2

Here, all the given options (cm2, square feet, and m2) represent the unit of the area.

Therefore, the answer will be that all the given options have the dimension L2.

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Question: An average family of four uses roughly 1200 L (about 300 gallons) of water per day1L=1000cm3. How much depth would a lake lose per year if it covered an area of50km2with uniform depth and supplied a local town with a population of 40,000 people? Consider only population uses, and neglect evaporation, rain, creeks and rivers.

To convert from ft2 to yd2, you should

(a) multiply by 3.

(b) multiply by 1/3.

(c) multiply by 9.

(d) multiply by 1/9.

(e) multiply by 6.

(f) multiply by 1/6.

What is the area and its approximate uncertainty of a circle of the radius of3.1脳104cm?
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