A solid figure is built from unit cubes. It has 4 columns. When viewed from the front, the columns from left to right are 4 cubes tall, 3 cubes tall, 2 cubes tall and 1 cube tall. The leftmost column is 2 cubes deep, while the remaining three columns are each only 1 cube deep. The back cubes of the leftmost column cannot be seen from the front. How many unit cubes make up the solid?
Show Worked Solution
Worked Solution
Step 1: Find the number of unit cubes in the leftmost column.
Height = 4, depth = 2 → 4 × 2 = 8 cubes
Step 2: Find the number of unit cubes in the remaining three columns (each 1 cube deep).
Column 2: 3 × 1 = 3 cubes
Column 3: 2 × 1 = 2 cubes
Column 4: 1 × 1 = 1 cube
Step 3: Add all columns.
8 + 3 + 2 + 1 = 14 unit cubes
Correct answer: 14
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