Volume and Surface Area of 3D Objects - Lesson Plan Volume 30

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Grades 7-8.

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.

Item Weight: 0
Age: 12 yrs. - 13 yrs.
Grade: 7 - 8
School Type: Middle School
Lesson Plan: Math
Assembly Required: false
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