Total surface area of a cube is 486 sq c

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

Total surface area of a cube is 486 sq cm, find sum of length of all its edges?

Options:

216 cm

108 cm

171.5 cm

162 cm

Correct Answer:

108 cm

Explanation:

Total surface area of a cube = 6a² = 486

⇒ a² = 81

⇒ a = 9

Sum of edges = 12a = 12 × 9 = 108 cm