About Us

Why Choose StudyPug

How it works

Pricing

Testimonials

Contact Us

Blog

Basic Math

Algebra

Geometry

Trigonometry

Calculus

Linear Algebra

Differential Equations

Statistics

Chemistry

Organic Chemistry

Physics

Microeconomics

For Students

For Parents

For Home Schoolers

For Teachers

Australia

Canada

Ireland

New Zealand

Singapore

United Kingdom

United States

Sitemap

Terms of Service

Privacy Policy

Formula for surface area and volume of cylinders

Grade 10 Math: Master Essential Skills & Concepts

WA10.1

auto-gen

Conversions between metric and imperial systems

Metric to Imperial Conversions

Imperial to Metric Conversions

Conversions Between Metric and Imperial Systems Speed KM to MI

Conversions Between Metric and Imperial Systems Speed  MI to M

Metric-Imperial Length Conversion Inch To Cm

Metric-Imperial Length Conversion MM/CM/M/KM To FT

Metric-Imperial Length Conversion MM/CM/M/KM To MI

Metric systems

Add and Subtract Mixed Units

Metric Length Conversion

Add or Subtract Different Metric Units Convert to CM

Add or Subtract Different Metric Units Convert to M

Add or Subtract Different Metric Units Convert to MM

Imperial systems

Imperial Length Conversion

Conversions involving squares and cubic

Imperial to Metric Conversions — Squares and Cubes

Imperial Conversion — Squares and Cubes

Metric to Imperial Conversion — Squares and Cubes

Metric Area Conversion FT to CM

Metric Area Conversion Foot to Inch

Metric Area Conversion M/CM to Inch

WA10.10

Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)

Find the difference of squares

Evaluating polynomials

Using algebra tiles to factor polynomials

Applications of polynomials

Common factors of polynomials

WA10.11

Solving polynomial equations

Word problems of polynomials

Factoring polynomials by grouping

Solving polynomials with unknown coefficients

Solving polynomials with unknown constant terms

WA10.2

Upper and lower bound

Upper and Lower Bound

WA10.3

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

WA10.4

Understanding the number systems

Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Greatest common factors (GCF)

Greatest Common Factor 2 Numbers

Greatest Common Factor 2 Numbers – Word Problem

Least common multiple (LCM)

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Rational vs. Irrational numbers

WA10.5

Evaluating and simplifying radicals

Converting repeating decimals to fractions

Square and square roots

Square Root of a Perfect Square

Cubic and cube roots

Cube root of a perfect cube

Converting radicals to mixed radicals

WA10.6

Product rule of exponents

Converting radicals to entire radicals

Adding and subtracting radicals

Adding radicals

Subtracting radicals

Multiplying and dividing radicals

Dividing radicals

Multiplying radicals

Rationalize the denominator

WA10.7

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Simplify the power

Solving for exponents

WA10.8

Negative exponent rule

Combining the exponent rules

Scientific notation

Convert between radicals and rational exponents

What is a polynomial?

Classifying Polynomials

WA10.9

Polynomial components

Multiplying monomial by monomial

Multiply a Monomial by a Monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Get better math marks with our complete Grade 10 math help &ndash; be it <a href="http://www.edu.gov.on.ca/eng/curriculum/secondary/grades.html">Ontario math curriculum</a>, math curricula of <a href="https://curriculum.gov.bc.ca/curriculum/10-12#m">B.C.</a>, <a href="https://education.alberta.ca/mathematics-10-12/programs-of-study/">Alberta</a>, <a href="http://www.edu.gov.mb.ca/k12/cur/math/index.html">Manitoba</a>, <a href="https://www.curriculum.gov.sk.ca/webapps/moe-curriculum-BBLEARN/index.jsp?lang=en&subj=mathematics&level=foundations10">Saskatchewan</a>, <a href="http://www.ed.gov.nl.ca/edu/k12/curriculum/guides/mathematics/">Newfoundland</a>, or other provinces. We&apos;ve got you all covered!

Just like your class or textbook, our complete help for grade 10 math includes topics such as Trigonometry, Quadratic Equations, Radicals, Factoring polynomials, Linear equations, Linear systems, and more. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest grade 10 math problems. Then, strengthen your understanding with tons of grade 10 math practice. 

All our lessons are taught by experienced grade 10 math teachers. Let&apos;s finish your homework in no time, and ACE that final.

Workplace and Apprenticeship Mathematics 10

Number Sense, Logical Thinking, Mathematics as a Human Endeavour

math

<h2>What is in grade 10 math?</h2>
Coming out of a terrible <a href="[[region_textbook.html|{"textbook_key":"grade9"}]]">grade 9 math</a> experience? Unsettled and unprepared for what&apos;s next? Let us help you break down what to expect next &ndash; StudyPug offers a <a href="[[region_textbook.html|{"textbook_key":"grade10"}]]">comprehensive math 10 provincial tutoring program</a> that will meet your every need. So whether you are coming from grade 10 math Alberta, the Ontario math curriculum, or preparing for B.C. math 10, we&apos;ve got you covered. Learn grade 10 math and breeze through topics like factoring polynomials, linear equations, and quadratic functions. Master radicals, overcome exponents, and conquer your fear of trigonometry as we explore Math 10 in depth.
Understanding grade 10 math will never come as easy as it will with StudyPug! With example-based lessons and 24/7 help with grade 10 math from our renowned tutors, learn new problem-solving skills and observe real world applications of grade 10 math topics. Grade 10 applied math elevates abstract math concepts helping you see relationships with the real world. Always be ready to answer the proverbial question of "when will I ever use this?" and discover a new appreciation of how fun math can be!
That&apos;s Math 10 in a nutshell for you! Access our entire grade 10 math library of lessons, questions and always be prepared for that homework assignment, test, or exam!

<h2>Is grade 10 math hard?</h2>
Not if you study hard! Like any other subject or grade level, grade 10 math questions and content come in various levels of difficulty. What some of you might find super easy the next person might find incredibly hard. To level the playing field, we offer you the greatest grade 10 math online course on the Internet! Let us do the heavy lifting and take that burden of anxiety off your back.
At StudyPug we&apos;ve intentionally sought out the toughest topics and researched the best methods of teaching so that we can bring the best grade 10 math tutoring service to ALL (Yes! Even if you feel like you belong with grade 10 math for dummies). We design and provide simple, straightforward, yet succinct lessons; catering to different learning styles and levels of understanding. We walk step-by-step with you through questions to ensure that you&apos;re receiving a complete grade 10 math review experience. Skip the stress of cramming or the mundane 30-minute video lessons and review high school math with us!
Worried about how hard the last grade 10 math exam you took was? Feeling unsure about how to come back from that ugly letter grade? Read on to find out more about our extensive grade 10 math exam practice tips and exam-taking strategies!

<h2>How to pass grade 10 math?</h2>
Passing grade 10 math may initially seem unmanageable &ndash; with the multitude of topics to review you may be feeling clueless on where to even begin! We want to make sure you&apos;re well prepared so our team at StudyPug has carefully crafted our grade 10 math course to mirror a grade 10 math exam review guide. Forgo those dreary grade 10 math worksheets and join us for fun, easy practice on grade 10 math exam questions!
Begin with our grade 10 math lessons. Start here if you&apos;re feeling especially lost or confused about the topic. Watch these videos in no time and survey the 1000&apos;s of other lessons you may also require to understand the lesson. Some of these grade 10 math lessons are concomitant, so take the time to learn the core concepts before you move on to the next lesson. This may be the reason why you are struggling in the first place!
To give you a taste of what to expect in your grade 10 math test, we dedicate a good portion of our lessons taking you through step-by-step examples. We do this so that you are familiar with questions that you will see in your test or exam. Learn techniques to tackle similar kinds of questions and find out how to avoid making silly mistakes.
Finally, practice with our repository of 936 practice questions! This is a very important part of grade 10 math exam prep, so don&apos;t miss out on this! Test your knowledge and understanding of the topics and see how well you do in this mock test/exam. The more questions you do, the more prepared you&apos;ll be to pass grade 10 math with flying colours!
Stumped during practice? We&apos;re always here with 24/7 help so drop back into one our lessons and learn by example again!

<h2>How to prepare for grade 10 math?</h2>
Getting ahead of the game is always recommended for aspiring students and math keeners! Partnering with StudyPug as your tutor is the best way to do so as we offer a plethora of math courses to prepare you well in advance for the future! Whether you feel like the grade 9 math curriculum is too easy, or find yourself in search of a challenge, or perhaps have had enough of grade 9 math worksheets, StudyPug is here to save you from boredom and grow your potential. Master grade 10 math ahead of time or swing back to refresh your memory on <a href="[[region_textbook.html|{"textbook_key":"grade9"}]]">grade 9 math</a> anytime and everywhere. Many topics learnt in grade 9 math will be expanded on in grade 10 math, so take your time, and have no shame in skipping back.
StudyPug provides you instant access to the entirety of our grade 10 math tutorials, grade 10 math notes and more! Learn grade 10 math online at your own pace with the guidance of our professional grade 10 math tutors. Stop worrying about whether we cover your grade 10 math curriculum or that specific Math 10 textbook (we always do!) and start your prep today! Track your progress with a personal study plan, earn badges, stay engaged and motivated throughout our lessons. Recall that our content builds on top one another, so start from lesson 1 and work your way through the foundations before attempting advanced topics in grade 10 math.
Throughout each lesson, don&apos;t forget to visit our bank of questions to help you sharpen your grade 10 math skills &ndash; challenge yourself each lesson to completing all the questions related to that chapter before moving on as this is the true test to seeing how prepared you are for grade 10 math!

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-grade10math.png

Ex. 1:

Hi. Welcome to this Question Here. Okay, the question asks for the surface area and the volume of a cylinder, which is good because we do have a nice equation for these questions here. So to start off, we're going the diameter equals to 42 feet and the height is 110 feet. The units are being consistent, which is good. But we don't really use diameter that much when it comes to the equation, so we're going to change them to radius. Okay? So it's a quick calculation. Just take the 42 and divide it by 2 and you get yourself the radius to be to equal to, I'm just going to put it on the side here, to be 21 feet, 21 feet right there. So let's start off by calculating the surface area first, okay? 
So surface area. Now, the equation says its 2 pi r-squared, and plus the 2 pi r with the h. Now, some people might be wondering, so why is it the equation looks like this is? Is there any reason for this to occur? It's straightforward. If you actually unwrap the cylinder, you will see that it's a circle on the top with a rectangular shape in the middle and followed by another circle. Okay? So if you unwrap it open, that's what you see. We&apos;ve got two circles and the one rectangles. That 2 pi r-squared -- the pi r-squared is the area of the circle, and since there are two of them, that's why we&apos;ve got the two here. The 2 pi r over here is the circumference of the circle, because when you unwrapped it, the length of the rectangle over here is the circumference. That's where the 2 pi r comes in. And the height is just this guy right here. Okay? 
So that's where you get the equation from. So the rest of the work to find the surface area, just plug it in. So here we go really quickly, we&apos;ve got 2 pi times the radius. That's why we had to find the radius first. We're going to square that, plus the 2 pi times the radius, 21 times the height is 110. And just use your calculator. Punch it in. You should get the answer. It turns out to be 17285 and we&apos;ve got feet, and it's a square. Okay? 
Quickly, let's do the next part, which is the volume. The volume of the cylinder is also called with the equation itself. It's just the area of the base times the height. So we're going to put down the base area, and we're going to say times the height, just like that. Now, if you look at the diagram of the cylinder, the base is the circular part, which is the bottom, right here. Okay? Or on the top, this piece right here. Identical piece. So it's a circle. Therefore the area of the circle is going to be a pi r-squared, and the height is given on the side, 110. So let's quickly fill in the information that we have. Here's my pi. The radius is 21 squared, and times the h, 110, and your answer now would be 152398.7 and we&apos;ve got ourselves the feet cubed. Remember that volume's are in cubes, the surface area are in squares. Okay? And that's your answer, right here. Thanks for watching.

A cylinder is like stacking up a pile of circle plates. With information such as, height, <a href='[[glossary.html|{"keyword":"Radius of a Circle or Sphere"}]]'>radius</a>, and circumference, it is easy to calculate the surface area and volume of cylinders.Let's look at how to calculate the surface area and volume of composite solids too.

Surface area of cylinders

Volume of cylinders

Circles and circumference 

Arcs of a circle