Lesson: Challenging Problem Solving - 33t01

Advanced Geometry: Solids

Now let's work through the following solids question. Make sure to identify the two critical pieces of information that will lead us on the correct solution path—what we are being asked to find, and what concrete information we are given. Review the following problem and then proceed to the task below.

Consider your answers to the following questions, and then click Continue.

What is the question asking us to find? What information has it provided to us? What shared feature will get us to the correct answer?

1. What is the question asking us to find?
   • The area of the two largest faces.
2. What information has it provided to us?
   • The volume of the rectangular box is 22.
3. What shared feature will get us to the correct answer?
   • The formula for volume is based on the edge lengths of the box. The edge lengths of the box are also the side lengths of the faces. Therefore, we can use the box's edge lengths to determine the faces' side lengths. In turn, the faces' side lengths will allow us to find surface area.

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