The surface area of a cube is 54 cm 2. Find its volume.

univerkov | April 22, 2021 | education

S = 54 cm²

Then one of any edges of the cube will be equal to:

a = √ 54 cm = √ (9 * 6) cm = √9 * √6 cm = 3 √6 cm.

Then the volume of the cube will be equal to:

V = a³ cm³ = (3 √6) ³ cm³ = 3³ * (√6) ³ cm³ = 9 * √ (6³) cm³ = 9 * √ (6 * 6 * 6) cm³ = 9 * 6 * √6 cm³ = 54 √6 cm³.

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