Cubic Volume Worksheets
While this may be a concept that is abstract to most students it is something that is measured and calculated often in the real world. There are tons of different products and materials that traded whether they are sold or bought based on this measure. This applies to anything that is stored in cube shape. Have you ever seen a warehouse that stores all types of different things? Everything is in a cube shape. You think that this measure is important to them? You bet it is. This series of lessons and worksheets will help students understand the concept of cubic volume and how to use it to solve many different types exercises.
Aligned Standard: Grade 5 Measurement and Data - 5.MD.5
- Use Three Sides Step-by-step Lesson- A simple and straight forward cubic volume problem for you.
- Guided Lesson - This is a great way to present it to your students and get them headed in the right direction.
- Guided Lesson Explanation - I try to help students form good habits with these types of problems.
- Practice Worksheet - We ask you to both determine volume of solid objects and determine the number of units a solid is made up of.
- Matching Worksheet - Match the cubes to their measures that are best associated with them.
- Answer Keys - These are for all the unlocked materials above.
Homework Sheets
These sheets offer a quick refresher and unit memory.
- Homework 1 - What is the volume of cube?
- Homework 2 - Find the length, width, and height of the rectangular cube.
- Homework 3 - Use these numbers in the formula.
Practice Worksheets
Time to view some odd shapes and volume. You first need to rearrange them to work on them.
- Practice 1 - How many cube units are in this object?
- Practice 2 - In 1st column 4 cubes, 2nd column 3rd cubes, 3rd column 3 cubes, 4th column 3 cubes and last 5th column 2 cubes.
- Practice 3 - How many cube units are in this object?
Math Skill Quizzes
These took me a long time to put together. I just couldn't get all the cubes to cooperate in sync.
- Quiz 1 - Look at the shape with the donut whole, don't miss out.
- Quiz 2 - Wow! This is not easy. Take your time and make sure you have all the dimensions in order.
- Quiz 3 - Lots of colors up in here! Get after it!
How to Find Cubic Volume
The term "cubic volume" means the volume of a cube. Volume is how much space something inhabits. While a cuboid is the three-dimensional version of a rectangle, a cube is the three-dimensional version of a square. A square has 4 equal sides while a cube has 6 equal sides. Cube shapes can be commonly found in shipping boxes and a pair of dice are a perfect example of this geometric shape. Because of the equivalent dimensions in all directions this is a very sturdy shape and is used often in all forms of architecture and construction. You will find that many anchors points that are used to secure structures take this form.
When we are working with this shape, we often need to understand how much space it will occupy especially when you are planning to use it a structure that you are building. To find out the volume of a cuboid, you multiply the area of rectangular two-dimensional surface area with its depth. For a cube, you multiply the square surface area of the cube with the depth. After you have found out the area of the square surface area, you multiply the surface area with the depth to get the cubic volume. Volume of cube = L2 × D, as the depth of a cube is equal to its length and width, we can calculate the volume of cube by using the formula: Volume of cube = Length x Width x Height. Since all the sides of a cube should be equal, we can rewrite this as l3 where l is the length one of the six sides.
When Do We Use Cubic Volume in the Real World?
We all understand that it is important to understand how much space something takes up. When you are planning the organization of a room or even placing items in a box, knowing how much will fit comfortably is important so that the integrity if the structure is strong. The next time you receive a package that was damaged during the shipping process, ask yourself if the person that shipped it thought the packaging process through.
If you look at your home, school, or just about anything designed for humans to inhabit they are all cube shaped when realized in three dimensions. Think about all the gases that are occupying that space. The air is mostly made of nitrogen and oxygen, but there are a bunch of gases in there. If you were trying to determine how to treat the temperature of a room in that shape, you would need to understand the volume of that cube. This would not matter whether you where attempting to cool it down with air conditioning or heat it up with a radiator or space heater.