Volume and Surface Area of 3D Objects - Lesson Plan Volume 30
To introduce the topic, students will revisit the topics of finding volume and surface area of other three-dimensional objects, including cubes, spheres, and hemispheres. In that introduction, students explain the difference between finding the volume and surface area of a given object. Then use the dissectible sphere to give students a visual representation of a sphere and a hemisphere.
Students will be able to see that a sphere has only one curved area, while a hemisphere has both a curved and a flat area. That discovery will help students understand that finding the volume of a hemisphere means to find half the volume of a sphere, and to find the surface area requires an additional step.
NOTE: This lesson assumes students have prior knowledge about how to find the volume and surface area of three-dimensional objects, including cubes and spheres.
In this lesson plan volume equals V, surface area equals S, and area equals A.
Students will be able to…
- Explain the difference between volume and surface area.
- Calculate the volume and surface area of hemispheres.
- Compare the volume and surface areas of spheres and hemispheres.