Question

(0) ✓2x+✓3 у= 0
✓3х – ✓8 y = 0​

Answer 1

Answer:

i)Edge of the cube(a) = 8 cm

ii)Total surface area of the cube(TSA) = 384 cm²

iii)Volume of the cube (V) = 512 cm³

Step-by-step explanation:

Let edge of a cube = a cm

Diagonal (d) = 8√3 cm (given)

We know thaT

\boxed { Diagonal \: of \: a \: cube\: (d) \\=\sqrt{3}a}

=>sqrt{3}a = 8\sqrt{3}

=>a = \frac{8\sqrt{3}}{\sqrt{3}}

After cancellation, we get

=>a = 8 \: cm

Therefore,

i ) Edge of the cube(a) = 8 cm

ii ) Total surface area of the cube(TSA) = 6a²

= 6×(8cm)²

=6×64 cm²

=384 cm²

iii) Volume of the cube (V)

=a³

=(8 cm)³

=512 cm³

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