(628)-272-0788 info@etutorworld.com

Volume with Fractions

Grade 6 Math Worksheets

In mathematics, volume refers to the measure of the space occupied by a three-dimensional object. It is an important concept to understand, especially when it comes to finding the volume of objects that can be described using fractions.

In this article, we will explore the steps involved in finding the volume of a three-dimensional figure with fractions.

eTutorWorld 4.7 Customer Rating

eTutorWorld Online Tutoring

Volume with Fractions - Grade 6 Math Worksheet PDF

This is a free printable / downloadable PDF worksheet with practice problems and answers. You can also work on it online.

worksheet practice problem count 10+ Questions

worksheet solving time

  Untimed

worksheet practice problems with answer keys 10+ Marks
free worksheet Freeprintable worksheet Printableworksheet pdf Downloadable

Sign up with your email ID to access this free worksheet.

"We really love eTutorWorld!"

"We really love etutorworld!. Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)

"My daughter gets distracted easily"

"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.

With the help of Etutorworld, my daughter has been now selected in the Gifted and Talented Program   for the school district"

- Nivea Sharma (via TrustSpot.io)

 

Understanding the Formula for Volume

The formula for finding the volume of a three-dimensional figure is given by the expression V = l * w * h, where l represents the length, w represents the width, and h represents the height. These three dimensions are important because they describe the size of the object in three different directions. The product of the three dimensions gives us the total volume of the object.

III. Steps for finding the volume of a three-dimensional figure with fractions

In order to find the volume of a three-dimensional figure with fractions, you need to first measure the length, width, and height of the object. It is important to use precise measuring tools such as a ruler or measuring tape to get accurate readings. Once you have the length, width, and height, you simply multiply these numbers together to find the volume of the object.

Let’s take an example to illustrate this. Consider a rectangular prism with a length of 4/5, width of 2/3, and height of 1/2. The volume of the rectangular prism can be found by multiplying these dimensions together:

The final answer is expressed in fraction form.

In order to get an accurate measurement of the length, width, and height of an object, it is important to use precise measuring tools such as a ruler or measuring tape. Additionally, it is important to measure each dimension carefully, making sure to read the markings on the ruler or measuring tape accurately.

There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt.

Our kid is doing much better with a higher score.

- Meg, Parent (via TrustSpot.io)

6th Grade Tutoring

eTutorWorld offers Personalized Online Tutoring for Math, Science, English, and Standardised Tests.

Our Tutoring Packs start at just under $21 per hour, and come with a moneyback guarantee.

Schedule a FREE Trial Session, and experience quality tutoring for yourself. (No credit card required.)

Applications of finding the volume of a three-dimensional figure with fractions

Applications of finding the volume of a three-dimensional figure with fractions can be seen in various real-world scenarios such as construction, manufacturing, and packaging.

Example 1: Construction – Imagine you are building a rectangular prism with a length of 4 1/2 feet, width of 3 2/3 feet, and height of 2 1/4 feet. To calculate the volume, you multiply the length, width, and height: 4 1/2 x 3 2/3 x 2 1/4 = 36.45 cubic feet.

Example 2: Manufacturing – A company needs to fill a cylindrical container with a radius of 2 1/2 inches and a height of 4 1/3 inches with liquid. To find the volume, they use the formula V = πr^2h, where r is the radius and h is the height. 

3.14 x (5/2)^2 x 13/3

 

3.14 x 25/4 x 13/3

1020.5 / 12

85.04 cubic inches

Example 3: Packaging – A cube-shaped box has a length, width, and height of 4 1/2 inches. To determine the volume, they simply cube the length: 4 1/2 x 4 1/2 x 4 1/2 = 91.125 cubic inches.

In conclusion, finding the volume of a three-dimensional figure with fractions requires measuring the object’s length, width, and height and then multiplying these dimensions together. Accurately measuring the length, width, and height is important in order to get an accurate volume calculation. This concept is useful in many real-world applications, such as determining the amount of paint or water needed for a given space. With this knowledge, you are now equipped to find the volume of a three-dimensional figure with fractions.

Do You Stack Up Against the Best?

If you have 30 minutes, try our free diagnostics test and assess your skills.

Volume with Fractions FAQS

What is the difference between volume and capacity?

Volume refers to the amount of space occupied by a three-dimensional object, while capacity refers to the maximum amount a container can hold.

How to calculate volume with fractions in a 3D shape?

To calculate volume with fractions, first determine the length, width, and height of the shape and then multiply these dimensions together. Express the product as a fraction and simplify if necessary.

Can you use decimals instead of fractions to calculate volume?

Yes, you can use decimals instead of fractions to calculate volume, but it is often easier to work with fractions.

How to convert mixed numbers to improper fractions before calculating volume?

To convert mixed numbers to improper fractions, multiply the whole number by the denominator of the fractional part, add the numerator of the fractional part to the result, and then place this sum over the denominator.

How to simplify fractions in volume calculations?

To simplify fractions in volume calculations, divide the numerator and denominator by their greatest common factor.

Can you find volume with fractions in irregular 3D shapes?

It can be challenging to find the volume of irregular 3D shapes with fractions, but it can be done by dividing the irregular shape into regular shapes, finding the volume of each, and then summing the volumes.

What are the units of measurement used for volume with fractions?

The units of measurement used for volume with fractions can vary, but the most common units include cubic inches, cubic feet, cubic yards, cubic centimeters, cubic meters, and milliliters.

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

Affordable Tutoring Now Starts at Just $21

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).

What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.

K12 Online Tutoring Free Trial - Step 1K12 Online Tutoring Free Trial - Step 2K12 Online Tutoring Free Trial - Step 3

 

Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a FREE TRIAL Session with us today.

*There is no purchase obligation or credit card requirement