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EEJ MAIN Aptitude
QUESTION #11035
Question 1
A figure shows the top view, front view, and side view of a solid made of unit cubes. The top view is a $3 \times 3$ square, the front view shows heights $2,1,2$ in the first row and $1,3,1$ in the second, and the side view shows heights $2,3,2$. What is the minimum number of unit cubes needed?
Correct Answer Explanation
The minimum number of unit cubes is determined by satisfying all three orthographic views simultaneously. Each cell in the top view must have enough cubes to match both the front-view column height and the side-view row height. The sum of these required heights across the $3 \times 3$ grid equals $14$ unit cubes.
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