Should students be required to know the difference between perimeter, area, and volume in order to get a job in their adult life?
What can you use to find the perimeter of a shape?
Perimeter is the total distance around the outside of a shape. Area is the total space inside a shape. Volume is the amount of space a 3D shape takes up.
Perimeter, Area, and Volume Explained for 5th Grade Students
Perimeter: The distance around the outside of a shape. Area: The measure of the size of a surface or region. Volume: The measure of the size of a three-dimensional object.
The volume of a cube is equal to the length of its edges cubed, and the area of a cube is equal to the length of its edges squared. The volume of a sphere is two-thirds the product of its surface area and its radius. The perimeter of a circle is equal to the circumference of the circle, which is calculated by multiplying the diameter of the circle by pi.
Did you know?
How is perimeter related to the area of a shape?
How can we measure the volume of a 3-dimensional shape?
Think of a real-life situation in which you had to calculate the perimeter of a shape. How did you solve the problem?
What strategies can you use to solve a problem involving area and volume?
Brain break: Create a drawing that combines two of your favorite animals into one. Then, draw a background that features elements from both habitats. Finally, write a creative story about how the new animal came to be.
Question: You are an architect designing a building. What are the differences between perimeter, area, and volume? Clues: • Perimeter is a measurement of outside length around a shape. • Area is the measurement of the two-dimensional space inside a shape. • Volume is the measurement of the three-dimensional space inside a shape. In pairs: Select and solve one of the tasks: A. Work with a partner to draw a building and label the perimeter, area, and volume. B. Create a poster explaining the differences between perimeter, area, and volume.
What is the formula for finding the perimeter of a square?
- A. P = 4s
- B. P = s + s + s + s
- C. P = s x 4
- D. P = 2s + 2s
What is the formula for finding the area of a triangle?
- A. A = bh
- B. A = s2
- C. A = 1/2bh
- D. A = s x s
What is the formula for finding the volume of a cylinder?
- A. V = r2h
- B. V = p2h
- C. V = πr2h
- D. V = πrh2
What is the formula for finding the area of a circle?
- A. A = s2
- B. A = πr2
- C. A = r2
- D. A = p2
What is the formula for finding the volume of a cube?
- A. V = s3
- B. V = p3
- C. V = r3
- D. V = πr2h
Work together in pairs: What is the formula for calculating the volume of a rectangular prism?