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Geometry for Kids6 chapters | 45 lessons

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Lesson Transcript

Instructor:
*Kadoria Burgess*

I have a Bachelor's degree in Elementary Education and Spanish. I have taught for 5 years in bilingual classrooms of various elementary grade levels.

Can all of it fit inside? How much will it hold? These are questions that involve the volume of an object, and in this lesson, you will learn how to find the volume of a solid figure known as a right prism.

Your family is moving to a new house. You're packing your clothes into the last box, but you're not sure that everything will fit inside. Oh no! The box seems long and deep enough, but you have no idea if all of your clothes will fit. That's an easy fix - just find the volume!

What is the volume? **Volume** is the amount of space that an object or solid figure has inside. The key to finding the volume is to know the main shape of the solid figure. So, what is the main shape of a packing box? In this case, the main shape of our packing box is a square.

A packing box is made up of two rectangles on the ends and four rectangular faces, or flat parts. A packing box is an example of a right prism. A **right prism** is a solid object with two parallel bases, or ends, that are identical, and then has flat faces that are rectangles.

It is important to remember that right prisms have no curves. Also, there are different types of right prisms. Rectangular prisms, pentagonal prisms, hexagonal prisms, and right triangular prisms are all a few examples of right prisms; yet, the method to find the volume of these different prisms is very similar. A packing box is an example of a right rectangular prism, so we'll focus on finding the volume of this right rectangular prism first.

To find the volume of a right rectangular prism, we multiply the length x width x height. We know the area of a rectangle is length x width, and in the case of the prism, we have added a new dimension, which is height. So, we use the area of the base and multiply this times the height to find our volume.

Let's follow these steps to find the volume of the packing box.

- First, you must identify what shape the base of the figure is. In the case of the packing box, it's a square.
- Find the area of the base. For a square, multiply the length of one side times itself. (10 x 10 = 100)
- Last, multiply the area of the base times the height of the figure. (100 x 6 = 600)

So, the volume of the packing box would be 600 inches cubed. Notice that the shape is a cube, and we are using three dimensions to find our volume (length x width x height), and this is why the unit of measurement we use with volume is always cubed. So, if the unit of measurement is centimeters, we would say this box is 600 cubic centimeters, or we would write this answer as 600 cm^3.

It is important to know that NOT all right prisms will have the same formula to find the area of their base. The formula for the area of the base will depend on the shape of the base. An example is the right triangular prism. To find its area, you multiply the base of the triangle times the height and divide that by 2. Then, multiply the area times the length, or the depth, of the prism to find the volume.

**Volume** is the amount of space that an object or solid figure has inside. A **right prism** is a special type of solid figure that has two parallel bases that are identical and flat faces that are rectangles. To find the volume of a right prism, you multiply the length x width x height, or in the case of a right triangular prism, you find the area of the base and multiply this by the length or depth of the prism.

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Geometry for Kids6 chapters | 45 lessons

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