Question

80 points!!!! Please answer this question:

Answer 1

Answer:

Total Surface Area of Cube = $16*12=192$

Surface Area formula = $6a^{2}$

=> $6a^{2} =192\\a^{2}=\frac{192}{6} = 32$

Formula for length of diagonal of cube = $\sqrt{3} a$ = $\sqrt{3a^{2}}$

$a^{2} =32$

Therefore,

Length of diagonal of cube = $\sqrt{3} *32 = 32\sqrt{3}$ cm

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Answer 2

Step-by-step explanation:

Given that

Area of the surface of the cube = ab cm²

= 16*12 cm²

= 192 cm²

But, area of the surface of the cube = side * side

192 = side²

Side= 8 root 3

Diagonal of square = side * root 3

= 8 root 3 * root 3

= 24 cm

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