Question

math 20 - 3: 3d block puzzle challenge
goal: build objects with blocks, draw top/front/side views, and make a smaller version.
materials:

• unit cubes
• pencil, ruler, eraser

instructions:

1. work in pairs.
2. read the puzzle clues carefully.
3. partner a builds, partner b draws.
4. draw top, front, and side views for each puzzle using the scale 1:2.
5. switch roles for the next puzzle.

puzzle 1 - simple tower (6 cubes)
base layer:

• place 2 cubes next to each other.
• place 2 more cubes behind them, making a square of 4 cubes.

top layer:

• place 1 cube on the front - left corner of the base.
• place 1 cube on the back - right corner of the base.

Explanation:

Step1: Analyze base - layer structure

The base - layer has 4 cubes arranged in a 2x2 square.

Step2: Analyze top - layer structure

The top - layer has 2 cubes placed at opposite corners of the base - layer.

Step3: Consider 1:2 scale for drawing

When drawing at a 1:2 scale, each unit cube in the real - life model will be represented by a smaller unit on the drawing. For example, if the side of a real unit cube is considered as 1 unit, on the drawing, it will be represented as 0.5 units.

Step4: Draw top - view

In the top - view, we see a 2x2 square (representing the base - layer) with no cubes visible from above in the top - layer as they are on the corners. So, we draw a 2x2 square on the grid at the 1:2 scale.

Step5: Draw side - view

For the side - view, depending on which side we are looking at, if we look at the side where the base - layer cubes are aligned, we see a 2 - cube high structure (base - layer + top - layer cube on that side). We draw a rectangle with height 2 units (at 1:2 scale) and width 1 unit on the grid.

Step6: Draw front - view

In the front - view, we see a 2 - cube high structure. The base - layer is a 2 - cube wide row and the top - layer cube on the front - left corner is visible. We draw a rectangle with height 2 units (at 1:2 scale) and width 2 units on the grid.

Answer:

Follow the above steps to accurately draw the top, side, and front views of the 3D block structure at a 1:2 scale on the provided grids.