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PSA: The Astronaut's Helper

Educator Guide

 

Educator GuideDescription

Students tackle a problem that NASA scientists face in designing a spherical robot for space-based vehicles. They find the maximum surface area of a rectangular prism with a given volume that fits into a sphere of a specified size. In the extension activity, students will determine whether a tall cylinder or a short cylinder with the same volume has more surface area.

Instructional Objectives

The student will

  • find the maximum surface area of a rectangular prism that has a volume of 24 cubic inches and fits into a sphere with a diameter of 8 inches.

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