Activity
Area and Volume
Has your child ever dreamed of exploring space? By observing, measuring, and recording the amount of space everyday objects take up, they can do just that! True, it may not be what they had in mind, but this activity will give them hands-on practice with important geometry concepts they're learning about in school, and they won't have to pick up a textbook.
What You Need:
- Ruler or tape measure
- Pencil
- Paper
- Calculator (optional)
Simply stated, area and volume is all about space. Area is the amount of space taken up by 2-dimensional closed figures, while volume is the amount of space occupied by 3-dimensional objects. Below are the area and volume formulas for the basic shapes in geometry. They may look intimidating to your child, but with a little practice, these formulas will be a piece of cake.
Area Formulas
Square |
side2 |
Rectangle |
length x width |
Parallelogram |
base x height |
Triangle |
base x height / 2 |
Trapezoid |
height x (base1 + base2) / 2 |
Circle |
pi*x radius2 ** |
Cube |
side3 |
Rectangular Prism |
side1 x side2 x side3 |
Sphere |
(4/3) x pi x radius3 |
Cylinder |
pi x radius2 x height |
Cone |
(1/3) x pi x radius2 x height * |
Pyramid |
(1/3) x (base area) x height |
*Pi=3.14
**radius=the distance from the center of the circle to the outside edgeWhat You Do:
- Have your child make a list of objects around the house that they can use for finding area and volume. Encourage them to try to find at least one example of each shape. For example, a sheet of paper is an example of a rectangle, a stop sign is an octagon, a refrigerator is a rectangular prism, a soda can is a cylinder, a soccer ball is a sphere, etc.
- Give them a ruler or tape measure to measure the objects’ dimensions, rounding each measurement to the nearest inch.
- Then have them use the formulas above to find the area and volume of each object. They can use paper and pencil to calculate their answers, or you may allow the use of a calculator, depending upon your child's familiarity with these types of equations.