2D and 3D

This resource consists of two interactive excel programs. The first allows students to explore 2D representations of solids. The second provides problems relating to angles and lengths within solids which need to be solved using trigonometry.

Drawing 3D in 2D This excel file deals with 2D representations of solids. Access to multilink cubes and isometric paper is beneficial. It begins with a set of solids to be made out of multilink and perhaps drawn on isometric paper. The second sheet shows in stages how a series of solids is rotated by 90⁰ and the third sheet allows students to see shapes turned upside down. The next two sheets deal with plans and elevations. There are a further four sheets of questions suitable for classroom use.

3D Geometry This interactive excel file deals with trigonometry in 3D. It begins with a sheet illustrating the angle between two planes. The next two sheets show diagrams of cuboids for students to find lengths, angles or angles between planes. Hints are given and answers correct to 1 d.p. can be revealed. Angles and lengths within pyramids are dealt with on a separate sheet. This file also has eight sheets of printable sets of questions which may be suitable for use within the classroom. Topics include 3D coordinates and the volume and area of prisms, spheres, cones and cylinders.

Note This program was designed by be viewed on a screen with a resolution of 1024 x 768. Users may have to adjust the resolution of their screen for the pages to display as was originally intended. The program uses macros which need to be enabled on users’ machine.