Back To Course

Math for Kids23 chapters | 325 lessons

{{courseNav.course.topics.length}} chapters | {{courseNav.course.mDynamicIntFields.lessonCount}} lessons | {{course.flashcardSetCount}} flashcard set{{course.flashcardSetCoun > 1 ? 's' : ''}}

Are you a student or a teacher?

Try Study.com, risk-free

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-freeWhat teachers are saying about Study.com

Already registered? Log in here for access

Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Kelley Lipke*

Kelley has been teaching middle school for six years and has a master's degree in educational administration.

Have you ever wondered why we measure our drinks in liters and gallons? What about how much water it takes to fill up a fish tank or a swimming pool? Both of these ideas are related to volume and capacity. Dive into this lesson to find out more!

Max received a new fish tank for his birthday. Before he can put his fish in it, he needs to figure out how much water he can use to fill the aquarium.

**Volume** is the amount of space inside a solid figure. These figures are 3-dimensional, meaning the figure has three parts, including length, width, and height. We measure volume in cubic units.

**Capacity** is how much liquid a three-dimensional figure can hold. We can measure capacity in multiple ways: with the metric system, using liters and milliliters, or with the customary system (sometimes called the English system), using cups, pints, quarts, and gallons.

- In the metric system, we know that 1,000 milliliters = 1 liter
- In the customary system, we should be aware that:
- 2 cups = 1 pint
- 2 pints = 1 quart
- 4 quarts = 1 gallon

The capacity of a figure may change, while the volume stays the same. In this example, Max's tank will not change in size, but he can add or subtract the amount of water he puts in the tank.

To find out how much water the tank can hold, Max needs to measure the tank's volume. The formula for the volume of a rectangular prism is:

Volume = length x width x height

So, Max will measure each of these dimensions and then multiply them.

*V* = *l* x *w* x *h*

*V* = 14 in x 5 in x 10 in

*V* = 70 in x 10 in

*V* = 700 cubic inches

How much water can the new tank hold? The volume or amount of water the tank can hold is 700 cubic inches.

Let's say that the directions for the fish tank say to fill with 2 gallons of water. However, Max only has a 1-pint container for measuring. Max needs to figure out how many times he needs to fill the pint to equal 2 gallons.

We know that 1 gallon is made up of 4 quarts. But how many pints make 1 quart? 2 pints make 1 quart. Therefore, 2 x 4 = 8. Max needs to fill 8 pints to make 1 gallon of water. Since Max needs 2 gallons of water to fill the tank, he will multiply 8 times 2, which gives him an answer of 16. To fill the fish tank, Max needs to fill the pint container 16 times.

Example 1: Katie has a gift box that has a length of 8 inches, a width of 4 inches, and a height of 3 inches. How much space does Katie's gift box take up?

Since we need to find the amount of space that the box takes up, we know that we are calculating volume. Let's use our formula *V* = *l* x *w* x *h*.

*V* = 8 x 4 x 3

Therefore,

*V* = 96 cubic inches

After multiplying the length, width, and height, we know that Katie's box measures 96 cubic inches.

Example 2: Mark is at the beach and wants to fill his bucket with water to build a castle. The bucket can hold 2 gallons of water. How many quarts is this?

Since we know that 4 quarts equal 1 gallon, how will we find the number of quarts for 2 gallons? We will multiply 4 times 2.

Mark can fill the bucket with 8 quarts of water.

Okay, let's review what we've learned. In this lesson, we learned that both volume and capacity relate to how much a three-dimensional figure can hold. We learned that **volume** is the amount of space inside a solid figure and that **capacity** is how much liquid a three-dimensional figure can hold. The difference between the two is the way we represent the measurements. We measure volume in cubic units and capacity in units such as gallons, pints, and quarts.

To unlock this lesson you must be a Study.com Member.

Create your account

Are you a student or a teacher?

Already a member? Log In

BackWhat teachers are saying about Study.com

Already registered? Log in here for access

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
18 in chapter 13 of the course:

Back To Course

Math for Kids23 chapters | 325 lessons

{{courseNav.course.topics.length}} chapters | {{courseNav.course.mDynamicIntFields.lessonCount}} lessons | {{course.flashcardSetCount}} flashcard set{{course.flashcardSetCoun > 1 ? 's' : ''}}

- What is an Acre? - Definition & Measurement
- Capacity Lesson for Kids: Definition & Facts
- What is Centigrade? - Definition & Conversion
- What is a Centimeter? - Definition & Conversion 2:06
- What is a Cubic Centimeter? - Definition & Conversion
- What is a Cubic Meter? - Definition & Conversion
- What is a Hectare? - Definition & Conversion
- What is a Hectometer?
- Grams & Kilograms: Lesson for Kids 2:43
- What is a Kilometer?
- What is a Meter? - Definition & Conversion
- What is a Milliliter? - Definition & Conversion 2:58
- What is a Millimeter? - Definition & Conversion
- What is an Ounce? - Definition & Conversion
- What is a Pint? - Definition & Conversion
- What is a Pound? - Definition & Conversion
- What is a Quart? - Definition & Conversion
- Volume & Capacity: Lesson for Kids 4:19
- Go to Measurements for Elementary School

- Analytics 103: Intro to Relational Databases & SQL
- Praxis Special Education (5543): Practice & Study Guide
- School Leaders Licensure Assessment (SLLA): Study Guide & Practice
- Series 7 Exam: Study Guide & Practice
- Praxis Core Academic Skills for Educators - Combined Test (5752): Study Guide & Test Prep
- Using Views, Indexes & Triggers in SQL
- Introduction to SQL Syntax & Queries
- Joins & Subqueries Using SQL
- Relational Database Management Systems
- Introduction to General & Relational Databases
- What Is An Online Homeschool?
- Should I Homeschool My Children?
- Real Estate License Test Cost
- Top Blogs for New Homeschool Parents
- CEOE Test Retake Policy
- Study.com Customer Service FAQs: Login, Cost & Support Email
- Study.com Refund: How to Request a Refund from Study.com

- How to Find a Prepositional Phrase
- Gains from Trade: Definition & Example
- Dorsal Body Cavity: Definition, Organs & Membranes
- Figurative Language in Anne Frank's Diary of a Young Girl
- Introduction to Geographic Models
- What is Subtraction with Regrouping?
- Working with Multiplication Input-Output Tables
- Quiz & Worksheet - Practice for Finding the Mean
- Fractions As Parts of a Whole: Quiz & Worksheet for Kids
- Quiz & Worksheet - Migration Consequences
- Quiz & Worksheet - Soil Science Facts for Kids
- Flashcards - Real Estate Marketing Basics
- Flashcards - Promotional Marketing in Real Estate
- Lesson Plan Templates
- Calculus Worksheets

- MTTC Physical Education (044): Practice & Study Guide
- CSET Physical Education Subtest III (131): Practice & Study Guide
- GMAT Prep: Tutoring Solution
- UExcel Introduction to Sociology: Study Guide & Test Prep
- ScienceFusion Matter and Energy: Online Textbook Help
- MTLE Early Childhood Education: Social Studies Instruction
- MTLE Physical Education: Tennis Rules & Techniques
- Quiz & Worksheet - Database Management in Organizations
- Quiz & Worksheet - Bones of the Vertebral Column and Ribs
- Quiz & Worksheet - Formal and Informal Spanish Grammar
- Quiz & Worksheet - Function of the Large Intestine
- Quiz & Worksheet - Stereotype Threat

- Creativity and Intelligence in Adolescence
- Hiring Labor & Acquiring Capital in Factor Markets
- What is the NYS Regents Scholarship?
- Environmental Science Projects
- Creative Writing Prompts for Middle School
- Michigan Associations for Speech & Speech Education
- Sequencing Activities for First Grade
- Study.com Demo for Enterprise
- Study.com's Top Online Business Communication Training Courses
- How to Take a Study.com Proctored Exam
- Experiments with Magnets for Kids
- What Are Good SAT Scores?

- Tech and Engineering - Videos
- Tech and Engineering - Quizzes
- Tech and Engineering - Questions & Answers

Browse by subject