Question

find volume of cube whose surface area is 48 square metre​

Answer 1

Answer:

surface area of cube is 4asquare.

4asquare=48

a square =12

a=root12

volume of cube is acube

V=a^3=root12^3

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Answer 2

Step-by-step explanation:

surface area of the cube =$\underine{6a^2}$

given surfar area of the cube =48m^2

Lenth of the edge of the cube will be

$6a {}^{2} = 48m {}^{2}$

$a {}^{2} = \frac{48 m {}^{2} {}^{} }{6}$

$a {}^{2} = 8m {}^{2}$

$a = \sqrt{8m {}^{2} }$

$a = 2 \sqrt{2} m$

lenth of the edge of the cube is 2√2metre

now the volume of the cube

$\boxed{a^3}$

$a {}^{3} = (2 \sqrt{2} m) {}^{3}$

$= 2 \sqrt{2} \times 2 \sqrt{2} \times 2 \sqrt{2}$

$= 16 \sqrt{2} m {}^{3}$