← Home🟩 Squares — two dimensional

Cubes

Three dimensional. A cube is layers of squares, and every picture here is real dots you can turn — drag one.

length: 4area: 4 × 4volume: 4 × 4 × 4

See it

Spin the Cube start here Any number as a line, a square or a cube — 27 is 3 × 3 × 3, colored by its digits. Squares & Cubes Together Type the square or the cube while its shape stands beside it: flat for ², a cube for ³. Fill the Box Volume in unit cubes, a layer at a time — lift the layers to see inside (grades 5–8). 3D Multiplication Make any box — across, deep, high — and watch a length become an area become a volume.

Build it, take it apart

Stack a Cube ages 1–3 A square of four, one more on top: two layers of four make eight. Then take them off again. Build the Cube Stack square layers into a cube, counting 16, 32, 48, 64 — then take it apart, counting down. Layer by Layer One layer, how many layers, the whole — then take it apart, or start from the number and build it. Which Cube? Cubes and cube roots in one round: an edge of 4 makes 64, and 125 stands on an edge of 5. Slice It Three Ways A box sliced from the top, front and side is always the same number — and a hidden box seen one layer at a time. 1 · Peel the Line new A line has two ends, so peeling takes one off each: 7 peels to 5, 3, 1. Then put the ends back on. 2 · Peel the Square new Lift the frame off a square: 25 is a frame of 16 round a 9. Count each corner once, then put it back. 3 · Slice and Peel new A cube as flat slices: peeling takes the top and bottom slices and a frame off the rest. 125 = 27 + 98. 4 · Peel the Cube new What is inside a cube: 125 peels to 27, 27 peels to 1 — then wrap it back up, skin by skin.

Fast

Cubes Speed Run All 20 cubes, 1 to 8,000, against the clock — speed goes on last, once the pictures are known.

A new cube game every day

Count What You Can't SeeA box holds more cubes than it shows: count it in layers, then find the box that holds a number. A 3 by 3 by 3 shows 19 and holds 27. Oct 16 Dot, Rod, Flat, BlockA dot is a length of one; ten in a row make a rod, ten rods a flat, ten flats a block of a thousand. Build it up, break it down, and turn it in 3D. Oct 16 The Next Cube UpGrow a cube one bigger and count the new dots: 8 grows to 27 with 19 more, three flats, three rods and a corner. Then shrink one smaller: 64 leaves 27, not 63. Oct 19 Cube or Not?Can a pile of dots be stacked into one whole cube, the same across, deep and high? 8 can, 9 cannot: a cube of 8 and 1 left over. Then the other way: of four piles, find the one that is a cube, not the square, the box or one too many. Oct 21 Paint the CubeDip a 3 by 3 by 3 cube of dots in paint: the 8 corners get paint on 3 sides, the 12 edge dots on 2, the 6 face middles on 1 and the one hidden in the middle on none. Count each kind, then the other way: see some dots and say how many sides got paint. 8 + 12 + 6 + 1 = 27, every dot counted once. Oct 24
every new game, newest first →
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