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Block Views: see it from every side.

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Stacks of cubes in real 3D. Turn them around to count every hidden cube, pick the true front, top or side view, then build a stack from three plans like an architect.

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How to play Block Views

  1. Tier 1: count all the cubes in the stack. Drag the view, or press โŸฒ โŸณ, to look behind the tall towers.
  2. Tier 2: choose the drawing that shows the stack from the front, from the top, or from the right side.
  3. Tier 3: tap squares in the 3D view to add cubes, and switch to Remove to take them off. Each plan gets a โœ“ when your stack matches it.
  4. Five right answers earn three stars in tiers 1 and 2. In tier 3, build with few extra moves.

Tips and strategy

  • Count column by column: how tall is each tower? Add up the heights.
  • A front or side view only shows the tallest tower in each line, so hidden cubes don't change it.
  • The top view shows which squares have at least one cube. Heights don't matter from above.
  • Start tier 3 from the top view, then raise each tower to fit the front and right views.

Learn beyond the game

Explore the idea behind Block Views

Worked example

A stack with three columns of heights 2, 1 and 3 contains 2 + 1 + 3 = 6 cubes. From the front, you see those three heights; from above, you see three occupied squares.

Common sticking point

A top view shows whether a position has a tower, not how tall it is. A front or side view shows the tallest tower along each line, so it can hide shorter cubes behind it.

Try it away from the screen

Build a tiny stack from blocks or folded paper. Draw it from above and from the front. Ask someone to rebuild it using only those two drawings, then compare.

Mini challenge

Make three columns with heights 1, 3 and 2. How many cubes are there? What will the front view show, and how many squares appear in the top view?

How to use this practice path

Start by counting visible and hidden cubes, then match a top, front or side view. In the final tier, use all three plans to build a stack and check each view as you go.

Where the idea goes next

Plans and elevations are used to describe real objects. Try Cube Nets to fold a flat drawing into a solid, then compare volume and surface area in the 3D shape explorer.

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FAQ

Block Views: questions

What are plans and elevations?

A plan is the view of a 3D object from directly above. An elevation is the view from the front or the side. Together they describe a shape on paper, which is how buildings and machines are designed.

How do I count cubes I can't see?

Every cube must sit on the ground or on another cube, so look at the height of each tower. Turning the stack around shows the towers hidden behind taller ones.

Why does my tier 3 stack pass with fewer cubes?

The three views only show outlines. Cubes hidden in the middle don't change any view, so a stack with fewer cubes can match the same plans.

What age is Block Views for?

About 8 and up. Counting cubes suits younger players, and plans and elevations match the geometry usually taught from ages 10 to 14.

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