Back To Course

Geometry for Kids6 chapters | 45 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 75,000 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:
*Kadoria Burgess*

I have a Bachelor's degree in Elementary Education and Spanish. I have taught for 5 years in bilingual classrooms of various elementary grade levels.

Will it fit? Is there enough room? These questions involve the amount of area an object needs. In this lesson, you will learn how to find the surface area of a special solid figure called a right prism.

Say you just purchased a brand new aquarium as a gift for your best friend. You take it home only to realize you only have 4 square feet of wrapping paper. Oh no! How do you know if that's enough wrapping paper? That's easy - just find the surface area!

The **surface area** is the total area of a 3D object when you add together the areas of all the sides. It will tell you the amount of space that an object or solid figure will take up all around. The key to finding the surface area is to know all of the shapes that make up the object. Then, you can measure the sides of the shapes to find your surface area.

So, what shapes make up your aquarium? You may have guessed that it's a** right prism**. A right prism is made up of two identical, parallel bases on the ends, and the faces are perpendicular to the bases. The standard aquarium is a right prism because it has two square bases on the ends, and it has four rectangular faces that are perpendicular to the two bases.

It's important to remember that right prisms have no curves. Also, there are various types of right prisms. Rectangular prisms, pentagonal prisms, hexagonal prisms, and right triangular prisms are just a few examples of right prisms. The formula for finding the surface area is the same for all right prisms and is:

Surface area = 2*B* + *hP*. In this formula, *B* is the area of one of the bases, while *h* is the prism's height, and *P* is the perimeter of the base.

Now, let's explore how to find the surface area of our right rectangular prism--our aquarium.

Let's follow these steps to find the surface area of your aquarium using the formula 2*B* + *hP*:

- First, you must measure the sides of a base to find the area of one of the bases. The bases of our aquarium are square, with each side measuring 7 inches; so, to find the base of a square (
*B*), we multiply width times height.- 7 x 7 = 49

- Now, solve for the left side of the formula by multiplying the area of one base (
*B*) times 2.- 49 x 2 = 98

- Move on to the right half of the formula. Find the perimeter of the base (
*P*) by adding all of its sides.- 7 + 7 + 7 + 7 = 28

- Next, multiply the perimeter of the base (
*P*) times the height of the prism (*h*).- 28 x 15 = 420

- Lastly, add the two multiplied parts of the formula together.
- 98 + 420 = 518

So, the surface area of the aquarium would be 518 inches squared. Your sheet of wrapping paper has a surface area of 4 square feet, which equals 576 inches squared. Phew! You have more than enough gift wrap to cover the aquarium.

To review, **surface area** is the total area of a 3D object when you add together the areas of all the sides. A **right prism** is made up of two identical, parallel bases on the ends, and the faces are perpendicular to the bases. The formula for finding surface area is 2*B* + *hP* (where *B* is the area of one of the bases, *h* is the prism's height and *P* is the perimeter of the base).

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
5 in chapter 6 of the course:

Back To Course

Geometry for Kids6 chapters | 45 lessons

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

- Alabama Real Estate Broker Pre-License Exam: Study Guide & Practice
- Tennessee Real Estate Broker Exam: Study Guide & Practice
- Tennessee Real Estate Affiliate Broker Exam: Study Guide & Practice
- Maryland Real Estate Broker Exam: Study Guide & Practice
- Maryland Real Estate Salesperson Exam: Study Guide & Practice
- Ensuring High Availability in Windows Server 2016 Installations
- Evolutionary Mechanisms: Gene Flow, Natural Selection & Inbreeding
- Geologic & Natural Evidence for Evolution
- Praxis: Food Science & Safety
- Praxis: Careers & Consumer Education
- Options for Students Who Did Not Get Into College
- Tips for Students Having Trouble Learning in Classroom Settings
- MBLEX vs NCBTMB
- CEOE Test Accommodations
- Where Can You Meet Other Homeschool Parents?
- What is the AEPA Test?
- MBLEX Test Accommodations

- Blood Smear Test: Procedure, Staining & Interpretation
- Risk Response Planning: Strategies & Tools
- SQL DROP Temp Table: Tutorial & Explanation
- Strong Sentence Openers: Lesson for Kids
- Intermediate Python Project Ideas
- Advanced Python Project Ideas
- How to Deploy a DNS Server for Windows Server 2016: Processes & Configurations
- Quiz & Worksheet - Understanding Outpatient Care
- Quiz & Worksheet - Data Tampering Overview
- Quiz & Worksheet - Project Budgeting Process
- Quiz & Worksheet - Chronic Muscle Tension Causes & Treatment
- Flashcards - ESL Program Models
- Flashcards - Assessment Planning for ELL Students
- 1st Grade Math Worksheets & Printables
- Classroom Management Resources for Teachers

- Common Core History & Social Studies Grades 11-12: Literacy Standards
- 9th Grade English: Credit Recovery
- Introduction to Anthropology: Certificate Program
- 8th Grade Physical Science: Enrichment Program
- AP Calculus BC: Exam Prep
- WEST Middle Level Humanities: Reconstruction Era
- GACE Behavioral Science: Gender, Aging, Power & Social Inequality
- Quiz & Worksheet - Churchland & The Self as the Brain
- Quiz & Worksheet - John Locke & Personal Identity
- Quiz & Worksheet - Graph & Solve Quadratic Inequalities
- Quiz & Worksheet - Epistemology
- Quiz & Worksheet - Marketing, Production, Sales & Societal Marketing Orientation

- The Birth of the Republican Party: Contributing Factors & Platform
- Ancient Cities of Africa
- How to Prep for the NYS Chemistry Regents Exam
- How to Pass the PSI Real Estate Exam
- Wisconsin State Social Studies Standards
- Tennessee Science Standards for 8th Grade
- PERT Test Dates
- Engineering Degrees 101
- How to Learn Spanish for Kids
- How to Earn Kanban Certification
- Engineering Degrees 101
- 13 Colonies Lesson Plan

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

Browse by subject