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Q138 (IAS/1994) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics Answer Verified

The surface area of a cube is 216 sq.m. What is its volume ?

Result
Your answer: —  Â·  Correct: B
Explanation

Total surface area (TSA) of a cube is given by TSA = 6a^2. Given TSA = 216 m^2, solve 6a^2 = 216 to get a^2 = 36 and a = 6 m. The volume of a cube is a^3, so V = 6^3 = 216 m^3. Note that volume is expressed in cubic metres (m^3), the SI unit for volume, which matches the computed units for V [1]. Thus the cube’s volume is 216 cubic metres, corresponding to option 2. provides the formulas and calculation; [1] affirms the volume unit convention.

Sources

  1. [1] Science ,Class VIII . NCERT(Revised ed 2025) > Chapter 9: The Amazing World of Solutes, Solvents, and Solutions > How to measure volume? > p. 143
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