VM Numeracy Q6b – Technology for shape manipulation | VCE Units 3 & 4 Practice – StudyPulse
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VM Numeracy VCE Units 3 & 4 Practice Question 6b – Technology for shape manipulation

Q6b VM Numeracy Technology for shape manipulation Unit 3 - Area Of Study 2

A community centre is creating a 3D-printed stand for a tablet.

The designer models the stand in a CAD app. The stand is made from two joined solids:

  • a rectangular prism (the base) with length 14 cm, width 9 cm and height 2 cm
  • a triangular prism (the support) sitting on top of the base

In the side view (lengthwise), the triangular cross-section of the support is a right triangle with:

  • base (along the 14 cm length) = 10 cm
  • height = 6 cm

The support has the same width as the base (9 cm). The support is positioned so that its 10 cm base sits fully on the top of the rectangular base.

The CAD app can automatically calculate volume and can also generate a “slice preview” that shows the cross-section area at a given width.

Diagram

Question 6b

4 marks

Apply a suitable method (by hand or using technology) to calculate the total volume of plastic in the stand.

Your Answer

0 words

About This VM Numeracy Question

This is a free VCE Units 3 & 4 VM Numeracy practice question worth 4 marks, testing your understanding of Technology for shape manipulation. It falls under Shape in Unit 3: VM Numeracy Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.

Subject
VM Numeracy – Victorian Certificate of Education Units 3 & 4
Unit 3
VM Numeracy Unit 3
Area Of Study 2
Shape
Key Knowledge
Technology for shape manipulation

Unit 3 Overview

In Unit 3 students further develop and enhance their numeracy practices to make sense of their personal, public and vocational lives. Students extend their mathematical skills with consideration of their local, community, national and global environments and contexts, and the use and evaluation of appropriate technologies. These units provide students with a broad range of mathematical knowledge, skills and understanding to solve problems in real contexts for a range of workplace, personal, further learning and community settings relevant to contemporary society.

Shape

In this area of study students learn to recognise and name a range of two-dimensional shapes and three-dimensional objects. They classify, manipulate, represent and construct a range of simple and compound shapes in diagrammatical and concrete forms. Students also become familiar with the different characteristics and properties used in classifying shapes.

Key Knowledge Detail

appropriate technologies that create and manipulate a range of two-dimensional shapes and three-dimensional objects

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