Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 30

Determine the number of the following: (a) square meters \(\left(\mathrm{m}^{2}\right)\) in 1 square kilometer \(\left(\mathrm{km}^{2}\right)\) (b) cubic centimeters \(\left(\mathrm{cm}^{3}\right)\) in 1 cubic meter \(\left(\mathrm{m}^{3}\right)\) (c) square meters \(\left(\mathrm{m}^{2}\right)\) in 1 square mile \(\left(\mathrm{mi}^{2}\right)\) \((1 \mathrm{mi}=5280 \mathrm{ft})\)

Short Answer

Expert verified
(a) There are 1,000,000 square meters in 1 square kilometer. (b) There are 1,000,000 cubic centimeters in 1 cubic meter. (c) There are approximately 2,589,988.11 square meters in 1 square mile.

Step by step solution

01

Convert square kilometers to square meters

A square kilometer is a unit of area equivalent to a square with sides of 1 kilometer. As a kilometer is equal to 1000 meters, we square this conversion factor to find that 1 square kilometer equals \(1000^2 = 1,000,000\) square meters.
02

Convert cubic meters to cubic centimeters

A cubic meter is a unit of volume equivalent to a cube with sides of 1 meter. As a meter is equal to 100 centimeters, we cube this conversion factor to find that 1 cubic meter equals \(100^3 = 1,000,000\) cubic centimeters.
03

Convert square miles to square meters

A square mile is a unit of area equivalent to a square with sides of 1 mile. As a mile is equal to 5280 feet and 1 foot is equal to 0.3048 meters, we square this conversion factor to find that 1 square mile equals \((5280 * 0.3048)^2 = 2,589,988.110336\) square meters.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

We want to mark off a thermometer in both Celsius and Fahrenheit temperatures. On the Celsius scale, the lowest temperature mark is at \(-10^{\circ} \mathrm{C},\) and the highest temperature mark is at \(50^{\circ} \mathrm{C} .\) What are the equivalent Fahrenheit temperatures?

The following equation can be used to relate the density of liquid water to Celsius temperature in the range from \(0^{\circ} \mathrm{C}\) to about \(20^{\circ} \mathrm{C}:\) $$d\left(\mathrm{g} / \mathrm{cm}^{3}\right)=\frac{0.99984+\left(1.6945 \times 10^{-2} t\right)-\left(7.987 \times 10^{-6} t^{2}\right)}{1+\left(1.6880 \times 10^{-2} t\right)}$$ (a) To four significant figures, determine the density of water at \(10^{\circ} \mathrm{C}\). (b) At what temperature does water have a density of \(0.99860 \mathrm{g} / \mathrm{cm}^{3} ?\) (c) In the following ways, show that the density passes through a maximum somewhere in the temperature range to which the equation applies. (i) by estimation (ii) by a graphical method (iii) by a method based on differential calculus

A vinegar sample is found to have a density of \(1.006 \mathrm{g} / \mathrm{mL}\) and to contain \(5.4 \%\) acetic acid by mass. How many grams of acetic acid are present in \(1.00 \mathrm{L}\) of this vinegar?

Describe the necessary characteristics of a scientific theory.

Which is the greater mass, \(3245 \mu \mathrm{g}\) or \(0.00515 \mathrm{mg} ?\) Explain.
See all solutions

Recommended explanations on Chemistry Textbooks

Organic Chemistry

Read Explanation

Chemistry Branches

Read Explanation

Kinetics

Read Explanation

The Earths Atmosphere

Read Explanation

Nuclear Chemistry

Read Explanation

Ionic and Molecular Compounds

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free