Question

find the total surface area of a cube whose volume is 1728 cm

Answer 1

volume of cube=a×a×a(a is the side of cube)
1728=a×a×a
3√1728=a
12cm is the side of cube
now t.s.a of cube=6(a×a)
tsa=6×12×12
TSA=6×144
TSA=864 cm×cm

Answer 2

Answer:

Total surface area of the cube = 864 cm²

Explanation:

Let side of a cube = a cm

$\boxed { Volume\: of\: a \:cube \:(V)\\ = a^{3}\:cm^{3}}$

i ) $a^{3} = 1728 cm^{3}$ /* given */

$\implies a^{3} = (12cm)^{3}$

$\implies a = 12 cm$--(1)

Now ,

/* we know that,

Total surface area of a cube (TSA):

$\boxed { TSA \\= 6a^{2} }$

ii) TSA = 6 × (12cm )² /* from (1) */

= 6 × 144 cm²

= 864 cm²

Therefore,

Total surface area of the cube = 864 cm²

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