If the volume of a cube is 216 {cm}³, then find its total surface area.

Correct Answer is : 216 cm2{cm}²cm2

Correct Answer is : 216 cm2{cm}²cm2

Test Index

Volumes Practice Test 3

Question : 7 of 40

Marks: +1, -0

\mathrm{cm}^3

Solution:

Concept:

For a cube, volume gives the side length, and total surface area is six times the square of the side.

Explanation:

Let the side of the cube be

a

cm.

Given volume

V = a^3 = 216\ \mathrm{cm}^3

So,

a = \sqrt[3]{216} = 6\ \mathrm{cm}

Total surface area

= 6a^2

Substitute

a = 6

6 \times 6^2 = 6 \times 36 = 216\ \mathrm{cm}^2

Answer:

The total surface area is

216\ \mathrm{cm}^2

, so the correct option is C.

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