Question

The volume of a cube with surface area 54sqcm is​

Answer 1

$hello$

Given : -

Total surface area of cube = 54 cm²

T.S.A = 54

6×(side)² = 54

(side)² = 54÷6

(side)² = 9

side = √9

side = 3

Side of the cube = 3cm

Volume of the cube

= (side)³

= (3)³

= 27

Kindly refer the above attachment for better understanding.

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Answer 2

Answer:

27cm³

Step-by-step explanation:

Given- TSA=54cm²

$tsa = 6 \times {s}^{2} \\ 54= 6 \times {s}^{2} \\ = > {s}^{2} = \frac{54}{6} \\ {s}^{2} = 9 \\ {s}^{2} = 3 \\ \\ volume \: of \: cube = {s}^{3} \\ = > {3}^{3} \\ = 27 {cm}^{ 3}$