Gr 11 Math Lit: Ch 4.3 Models
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Questions and Answers

What is the primary purpose of building and drawing 3D models and their corresponding 2D nets?

  • To facilitate the movement between 2D and 3D representations of objects (correct)
  • To visualize a 4D object
  • To create a 3D object from a 1D line
  • To calculate the perimeter of a 2D shape

    • What is the correct order of steps to build a 3D model from a 2D net?

  • Assemble the folds, fold along the lines, cut out the net
  • Fold along the lines, cut out the net, assemble the folds
  • Fold along the lines, assemble the folds, cut out the net
  • Cut out the net, fold along the lines, assemble the folds (correct)

    • What is the role of understanding 2D plans/nets in building 3D models?

  • It helps to create a 1D line from a 2D shape
  • It helps to understand how to fold the 2D net to form a 3D object (correct)
  • It helps to visualize the 3D object
  • It helps to calculate the area of the 2D shape

    • What is the process of creating a 2D net from a 3D model?

    <p>Observing the 3D model to understand its faces and edges</p> Signup and view all the answers

    What is the correct statement about 2D nets and their corresponding 3D objects?

    <p>Different shapes and designs of nets correspond to different 3D objects</p> Signup and view all the answers

    What is the purpose of using models to investigate various problems?

    <p>To solve problems related to packaging, perimeter, area, and volume</p> Signup and view all the answers

    What is the main benefit of being able to move between 2D and 3D representations of objects?

    <p>It facilitates problem-solving and investigation.</p> Signup and view all the answers

    What is the first step in building a 3D model from a 2D net?

    <p>Cut out the 2D net from the provided plans.</p> Signup and view all the answers

    What is the purpose of visualizing a 3D model when creating a 2D net?

    <p>To understand the arrangement of faces and edges.</p> Signup and view all the answers

    What is a common application of 3D models and their corresponding 2D nets?

    <p>Designing a new packaging system.</p> Signup and view all the answers

    What is the relationship between the design of a 2D net and the resulting 3D object?

    <p>Different shapes and designs of nets correspond to different 3D objects.</p> Signup and view all the answers

    What skill is required to draw a 2D plan of a 3D model?

    <p>The ability to visualize a 3D object in a 2D layout.</p> Signup and view all the answers

    What is the primary skill required to move from a 2D drawing to constructing a 3D object?

    <p>Spatial reasoning and visualization</p> Signup and view all the answers

    Which of the following is an example of a problem that can be investigated using 3D models and their corresponding 2D nets?

    <p>Designing a new packaging shape</p> Signup and view all the answers

    What is the key to creating a 2D net that can be folded into a 3D object?

    <p>Correct representation of the 3D object's faces and edges</p> Signup and view all the answers

    In what way do 2D plans/nets and 3D models differ?

    <p>In terms of their dimensions</p> Signup and view all the answers

    What is the primary advantage of using 2D plans/nets to facilitate the construction of 3D models?

    <p>It provides a visual representation of the 3D object</p> Signup and view all the answers

    What is the relationship between the complexity of a 2D net and the resulting 3D object?

    <p>The complexity of the 2D net is directly proportional to the complexity of the 3D object</p> Signup and view all the answers

    What is the fundamental challenge in building 3D models from 2D plans?

    <p>Visualizing the 3D shape from a 2D representation</p> Signup and view all the answers

    What is the key to successfully drawing 2D plans of 3D models?

    <p>Understanding the faces and edges of the 3D model</p> Signup and view all the answers

    What is the primary benefit of being able to move between 2D and 3D representations of objects in real-world applications?

    <p>Improved visualization of complex objects</p> Signup and view all the answers

    What is the relationship between the complexity of a 2D net and the resulting 3D object?

    <p>A more complex 2D net results in a more complex 3D object</p> Signup and view all the answers

    What is the primary challenge in using 3D models to investigate various problems?

    <p>Visualizing the 3D object in different scenarios</p> Signup and view all the answers

    What is the fundamental skill required to build 3D models from 2D plans?

    <p>Ability to visualize 3D objects from 2D representations</p> Signup and view all the answers

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