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Isometric Drawing Tool

3-5, 6-8, 9-12
Math Content:

Use this interactive tool to create dynamic drawings on isometric dot paper. Draw figures using edges, faces, or cubes. You can shift, rotate, color, decompose, and view in 2‑D or 3‑D. Start by clicking on the cube along the left side; then, place cubes on the grid where you would like them.

Highlight the cube, face, or segment along the left navigation, and then place the object on the grid where you want it. HINT: Draw your shape from back to front and from bottom to top, to assure proper alignment of cubes.

There are two ways to move objects:

4182 arrow Arrow: Select and drag the object to a new location. The object will only move in the direction of the 3‑D axes.
 4182 moveX4182 moveY4182 moveZ Unit Movement Buttons: Click on the top or bottom of these buttons to move a selected object forward or backward in the given direction.

The other buttons along the top navigation serve various functions:

4182 eye View: See front‑right‑top views, a mat plan, or a 3‑D view which can be rotated using either the mouse or sliders.
4182 eraser Eraser: Highlight, then click on an object to erase it. Click this button twice to erase all objects.
4182 paint Paint Brush: Color cubes, faces or edges. To color just one face of a cube, hold down the shift key while using the paint brush.
4182 rotate base Rotate Base: Rotate the entire figure around its base.
4182 rotate vertically Rotate Vertically: Rotate the entire figure vertically.
4182 explode Explode: Change all cubes into faces. If two cubes share a face (i.e., the face is interior to the object), the face will not be shown. NOTE: Once a figure is exploded into its faces, it is not possible to reconnect the faces and revert to the cubes.

The picture below shows three views of a figure from the front, right, and top. The entire figure uses a total of seven cubes. Can you construct the figure using the isometric drawing tool? (Be sure to use cubes of the proper color, too.)

 4182 expmatplan 

What is the volume of this figure? What is its surface area?