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Type: Open-Ended
Category: Three Dimensional Shapes
Level: Grade 11
Standards: HSG-MG.A.3
Author: nsharp1
Created: 4 years ago

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Three Dimensional Shapes Question

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What is the largest open box (or rectangular prism) that can be made using a piece of paper that is 8.5 by 11 inches? An open box is one where exactly one side of the box is missing. To create the box, four identical squares will be cut from the corners of the piece of paper, and then the sides of the box will be folded upwards and attached at the side edges.

Grade 11 Three Dimensional Shapes CCSS: HSG-MG.A.3

Consider the formula found in the previous question as a function, where the volume of the box depends upon the side length of the squares that are cut from the corners, V(x). What are the zeros of V(x)?