An L-shaped solid is built from unit cubes. The base layer has cubes in an L-shape: 3 cubes along the top row and 3 cubes down the left column (sharing the top-left corner cube). A second identical L-shaped layer is placed directly on top of the first. How many unit cubes are in the solid?
Show Worked Solution
Worked Solution
Step 1: Count the cubes in the L-shaped base layer.
Top row: 3 cubes
Left column: 3 cubes
Shared corner: −1 (counted twice)
Total in base layer: 3 + 3 − 1 = 5 cubes
Step 2: The second layer is identical.
5 cubes in each layer × 2 layers = 10 cubes
Correct answer: 10
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