Volume with Fractions

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.

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.

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.

Volume with Fractions FAQS

Grade 6 Science Worksheets

• Inquiry process
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Grade 6 Math Worksheets

• Probability
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• Sequence & Patterns
• Division Word Problems  (New)
• Solving two step equations (New)
• One Step Equation  (New)
• Place Value  (New)
• Two Step Equation  (New)
• To convert percents to decimals and vice versa  (New)
• To convert Percents to Fractions and vice versa  (New)