Building and counting with unit cubes

Solids made of identical small cubes can be counted layer by layer or column by column. The same structure supports questions about volume, about surface area, and about how many more cubes are needed to complete a larger cube.

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Work through it

LearnWhat it is, how to spot it, a worked example, and where it goes wrong.
Practice — 3-point ladder1 problem. Three in a row finishes it.0/3 in a row · 0/1 solved
Practice — 4-point ladder3 problems. Three in a row finishes it.0/3 in a row · 0/3 solved
Practice — 5-point ladder1 problem. Three in a row finishes it.0/3 in a row · 0/1 solved
Skill quizFinish every ladder that has problems first.Finish the ladders above first

Before and after

Needs first

GEO-01Perimeter and area of rectilinear shapes

Opens up

CNT-14Counting cubes in a stack, including hidden ones GEO-12Views of a solid: top, front, side

In official papers

No indexed official paper question has been tagged with GEO-13 yet. The index grows one paper at a time, and it records only question numbers, point values and our own skill tags — never the problems themselves.

See the papers indexed so far

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