Question

If this if the surface area of a cube is 96 CM square find its edge and diagonal

Answer 1

Surface Area of cube = 96 cm².

6 × ( Edge of cube )² = 96

(Edge of cube )² = 16

( Edge of cube )² = √16

Edge of cube = 4 cm.

Diagonal of cube = √3 × Edge = 4√3 cm.

Answer 2

$\bf{HEY\:BUDDY!!}$

HERE'S THE ANSWER..

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♠️ Given surface area of a cube is 96 cm^2

✔️ We know surface area of cube is { 6 ( a )^2 }
, Where a is edge or side of cube

⏺️ By above two statements

=> 6 ( a )^2 = 96 cm^2

=> ( a )^2 = 96 / 6 cm^2

=> ( a )^2 = 16 cm^2

=> a = √ 16 cm^2

=> $\boxed{ a \: =\: 4 \: cm}$

▶️Edge of cube is 4 cm

♠️ We know diagonal of cube is { d = a × √ 3}

=> d = a × √ 3

=> $\boxed{ d \: =\: 4 \sqrt{3} \: cm}$

▶️ Diagonal of cube is 4√3

HOPE HELPED..

$\large{JAI \:HIND}$

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