Volume with fractions | |
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Description | |
Exercise Name: | Volume with fractions |
Math Missions: | 6th grade (U.S.) Math Mission, High school geometry Math Mission |
Types of Problems: | 2 |
The Volume with fractions exercise appears under the 6th grade (U.S.) Math Mission and High school geometry Math Mission. This exercise introduces the concept of volume related to prisms.
Types of Problems
There are two types of problems in this exercise:
- Find the missing side: This problem gives the volume of a prism and labels two of the dimensions on the picture. The student is asked to find the missing dimension and write it in the space provided.
- Find the volume of the prism: This problem provides a picture that can be manipulated. The picture is labeled with length, width and height. The student is asked to find the volume of the prism and write it in the space provided.
Strategies
Knowledge of the general volume of a rectangular prism is needed to accomplish this exercise.
- The formula for the volume of a rectangular prism is length times width times height.
- The fractions are simple to manipulate so it is not necessary to write down the problems and this can increase speed.
- On most fractions numerators and denominators will reduce nicely.
- It is possible to adjust the view of the solid on Find the volume of the prism problem.
Real-life Applications
- When one fills up their vehicle with gas, the volume of gasoline in their gas tank helps to determine their purchase. Whether they fill up with gallons or liters of gasoline or diesel, the amount is a volume calculation. On a smaller scale, when one fills up a gas can to take to another vehicle or to use the gas to power another device, they again use volume for measuring.
- The ancient Egyptians from over 4000 years ago were very good at shapes and geometry. Every time the Nile burst its banks and flooded the planes, they had to use geometry to measure their gardens and fields all over again.