Let’s explore the world of measurement! We’ll learn about perimeter, area, and volume, which are ways to measure different aspects of shapes and objects.
The perimeter is like a fence around a yard. It’s the distance all the way around the outside of a shape. To find the perimeter, you add up the lengths of all the sides. You can measure perimeter in units like centimeters, meters, inches, feet, or yards.
For example, if you have a rectangle with sides that are 7 inches and 4 inches, you add them up like this: 7 + 4 + 7 + 4 = 22 inches. So, the perimeter is 22 inches. If you have an octagon (a shape with eight sides) and each side is 8 feet, the perimeter is 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 64 feet.
Area is all about the space inside a shape. Imagine covering the inside of a shape with little squares. The area is the number of these squares that fit inside. We measure area in square units, like square inches or square feet.
For example, if you have a rectangle and you count 20 square units inside, the area is 20 square units. You can also find the area by multiplying the length by the width. So, if a rectangle is 4 inches long and 5 inches wide, the area is 4 x 5 = 20 square inches. You can check your work by counting the squares!
Volume is about how much space is inside an object, like how much water can fill a box. We measure volume in cubic units, which are like little cubes that fit inside the object.
Imagine a box filled with cubes. If you count 4 cubes inside, the volume is 4 cubic units. Sometimes, there are cubes you can’t see because they’re hidden underneath others. For example, if a box has 8 cubes, but you can only see 7, the volume is still 8 cubic units because one is hidden.
Let’s say you have another box with 12 cubes inside. Even if you can only see 10, remember that there are 2 more hidden underneath, making the volume 12 cubic units.
Now you know how to measure perimeter, area, and volume! These tools help us understand the size and space of different shapes and objects in the world around us.
Perimeter Hunt: Go on a perimeter hunt around your house or classroom! Find different objects like a book, a table, or a picture frame. Use a ruler or measuring tape to measure the sides of these objects. Add up the lengths of all the sides to find the perimeter of each object. Can you find an object with a perimeter greater than 30 inches? Share your findings with a friend or family member!
Area Art: Create a piece of art using square paper tiles. Arrange the tiles to form different shapes like rectangles or squares. Count the number of tiles you used to cover each shape to find its area. Try making a rectangle with an area of 12 square units. How many different shapes can you create with the same area?
Volume Building: Use building blocks or small boxes to create different structures. Count how many blocks you used to build each structure to find its volume. Try building a structure with a volume of 10 cubic units. Can you build another structure with the same volume but a different shape? Discuss with a friend how the shapes are different but have the same volume.
Here’s a sanitized version of the provided YouTube transcript:
—
**Measurement: Perimeter, Area, and Volume**
The perimeter is the distance around the outside of a shape or object. We find the perimeter by adding the measurements of all the sides. Perimeter can be measured in centimeters, meters, inches, feet, or yards.
For example, the perimeter of this rectangle is 22 inches because 7 plus 4 plus 7 plus 4 equals 22. The perimeter of this octagon is 64 feet because there are eight sides, and each side is 8 feet.
The area is the space inside a shape. We find the area by counting the square units in a shape. Area is measured using square units. For instance, we can count the square units and find that the rectangle has an area of 20 square units.
In another shape, what is the area? Did you get 16 square units? We can also find the area of a square or rectangle by using multiplication. The formula for area is length times width. For example, 4 inches times 5 inches equals 20 inches, and 3 feet times 3 feet equals 9 square feet. You can count the squares to check your answer.
We would still use square units in our answer, such as square inches, square feet, square yards, square centimeters, or square meters.
Volume is the amount of space inside an object. We find the volume by counting the number of cubic units in an object. Volume is measured in cubic units. For example, if we look at this box, we can see how many cubic units can fit inside. Notice that we are using cubes, not squares. We need to count the cubes; the individual squares are the sides of the cubes. This box has a volume of four cubic units.
Sometimes there may be cubic units that we cannot see, but they must be counted. How many cubic units do you think can fit in this box? There are eight cubic units in this box. The eighth cubic unit is one that we cannot see; it is under the seventh cubic unit. Therefore, the volume of this box is eight cubic units.
Now, look at this box. How many cubic units are in this box? There are two that we cannot see. In total, there are 12 cubic units in this box. The 11th and 12th cubic units are under the ninth and tenth cubic units. Thus, the volume of this box is 12 cubic units.
—
This version maintains the educational content while ensuring clarity and coherence.
