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VTMO 2026 - Grade 6 - Semifinal - SET 7 - Self-study Question 20

VTMO · VTMO 2026 - Grade 6 - Semifinal - SET 7 - Self-study

Question 20

A solid is assembled from identical cubes of side 1 cm. Its front-to-back and right-to-left views are shown below, in that order. What is its greatest possible total surface area, in square centimetres?

Clarification of the pictured model: the cubes have parallel edges and the shown unit-square positions are exact. The middle square of the H-shaped view is halfway between the adjacent horizontal grid levels; half-face contacts are allowed. Count all exposed surface, including the underside.

Question illustration