/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 45 A textbook is \(27 \mathrm{~cm}\... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 45

A textbook is \(27 \mathrm{~cm}\) long, \(21 \mathrm{~cm}\) wide, and \(4.4 \mathrm{~cm}\) thick. What is the volume in: (a) cubic centimeters? (b) liters? (c) cubic inches?

Short Answer

Expert verified
Volume: (a) 2494.8 cm^3, (b) 2.4948 L, (c) 152.26 in^3.

Step by step solution

01

- Find the Volume in Cubic Centimeters

To find the volume of the textbook in cubic centimeters (\text{cm}^3), use the formula for the volume of a rectangular prism: \text{Volume} = \text{length} \times \text{width} \times \text{thickness} Given values: \text{length} = 27 \text{cm}, \text{width} = 21 \text{cm}, \text{thickness} = 4.4 \text{cm} Therefore, \[ \text{Volume} = 27 \space \text{cm} \times 21 \space \text{cm} \times 4.4 \space \text{cm} = 2494.8 \space \text{cm}^3 \]
02

- Convert Volume to Liters

To convert cubic centimeters to liters, use the conversion factor: 1 \space \text{L} = 1000 \space \text{cm}^3 Divide the volume in cubic centimeters by 1000: \[ 2494.8 \space \text{cm}^3 \div 1000 = 2.4948 \space \text{L} \]
03

- Convert Volume to Cubic Inches

To convert cubic centimeters to cubic inches, use the conversion factor: 1 \space \text{in}^3 = 16.387 \space \text{cm}^3 Divide the volume in cubic centimeters by 16.387: \[ 2494.8 \space \text{cm}^3 \div 16.387 = 152.26 \space \text{in}^3 \]

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Volume of a Rectangular Prism
The volume of a rectangular prism represents the amount of space it occupies. To find this volume, we use the formula for the volume of a rectangular prism:
  • Volume = length 脳 width 脳 thickness
For a textbook that is 27 cm long, 21 cm wide, and 4.4 cm thick, the calculation would be: Volume = 27 cm 脳 21 cm 脳 4.4 cm = 2494.8 cm鲁 This result tells us how many cubic centimeters the textbook occupies.
Unit Conversion
Unit conversion is the process of changing a measurement from one unit to another while still retaining the same value. This is particularly important when working with volume because you might need to convert between different units such as cubic centimeters (cm鲁), liters (L), and cubic inches (in鲁). To convert between units, we use specific conversion factors. These factors are based on the mathematical relationships between units of measurement.
Cubic Centimeters to Liters
To convert from cubic centimeters to liters, we need to know the conversion factor:
  • 1 liter (L) = 1000 cubic centimeters (cm鲁)
If we have a volume of 2494.8 cm鲁, we divide this by 1000 to convert to liters: Volume in liters = 2494.8 cm鲁 梅 1000 = 2.4948 L So, the volume of the textbook in liters is 2.4948 liters.
Cubic Centimeters to Cubic Inches
To convert from cubic centimeters to cubic inches, the conversion factor is:
  • 1 cubic inch (in鲁) = 16.387 cubic centimeters (cm鲁)
Using the volume we calculated in cubic centimeters (2494.8 cm鲁), we divide this by 16.387: Volume in cubic inches = 2494.8 cm鲁 梅 16.387 = 152.26 in鲁 Therefore, the volume of the textbook in cubic inches is 152.26 cubic inches.

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

When a chunk of wood burns, much more than just smoke is produced. In addition, nanotubes made of pure carbon are formed that have a structure resembling a roll of chicken wire. These nanotubes are stronger than steel, resistant to fire, and make good heat conductors. If a typical carbon nanotube has a diameter of \(1.3 \mathrm{~nm}\), how many nanotubes would need to be laid side by side to construct a bridge \(40.0\) feet wide?

Dark-roasted coffee contains increased amonts of Nmethylpyridinium, or NMP, a ringed compound that is not present in green unroasted coffee beans. This compound seems to decrease the stomach acid production normally associated with drinking coffee. In coffee made from dark-roasted coffee, the concentration of NMP is \(31.4 \mathrm{mg} / \mathrm{L}\). How many milligrams of NMP would you consume if you drank \(2.00\) large cups of dark-roasted coffee? (One coffee cup contains \(10.0\) fluid ounces of liquid.)

Your boss found a piece of metal in the lab and wants you to determine what the metal is. She is pretty sure that the metal is either lead, aluminum, or silver. The lab bench has a balance and a \(100-\mathrm{mL}\) graduated cylinder with \(50 \mathrm{~mL}\) of water in it. You decide to weigh the metal and find that it has a mass of \(20.25 \mathrm{~g}\). After dropping the piece of metal into the graduated cylinder containing water, you observe that the volume increased to \(57.5 \mathrm{~mL}\). Identify the metal.

A recipe calls for heating the oven to \(425^{\circ} \mathrm{F}\). If you are vacationing in Europe and the oven only has temperature marked in \({ }^{\circ} \mathrm{C}\), to what temperature do you preheat the oven? What is this temperature in \(\mathrm{K}\) ?

A pharmacy technician is asked to prepare an antibiotic IV solution that will contain 500. mg of cephalosporin for every 100 . \(\mathrm{mL}\) of normal saline solution. The total volume of saline solution will be 1 L. How many grams of the cephalosporin will be needed for this IV solution?
See all solutions

Recommended explanations on Chemistry Textbooks

Chemistry Branches

Read Explanation

Chemical Analysis

Read Explanation

Chemical Reactions

Read Explanation

Inorganic Chemistry

Read Explanation

Making Measurements

Read Explanation

Nuclear Chemistry

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.