Question

A toy is made with seven equal cubes of sides root 7 cm. Six cubes are joined to six faces of a seventh cube. Find the total surface area of the toy​.
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Answer 1

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A toy is made with seven equal cubes of sides root 7 cm. Six cubes are joined to six faces of a seventh cube. Find the total surface area of the toy.

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Let side of each cube be a = √7 cm

Total surface area of seven cubes

= 7 × 6a²

= 42a²

Total surface area of common portion in the toy = 12a²

Total surface area of a Toy

= 42a² - 12a²

= 30a²

= 30 × (√7)²

= 30 × 7

= 210 cm²

⛬ The total surface area of the toy is 210 cm²

Answer 2

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The total surface area of the toy is 210 cm²