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Mumz [18]
3 years ago
15

A cube has a surface area of 9,600 square meters. Find the volume of the cube. please help :)

Mathematics
1 answer:
erastovalidia [21]3 years ago
8 0

Answer:

V_{cube}  =  64,000 \:  {m}^{3}

Step-by-step explanation:

Surface area of cube

= 6 {a}^{2}  \\ (where \: a = side \: length \:  of \: cube) \\  \\  \therefore \: 9600 = 6 {a}^{2}  \\  \\  \frac{9600}{6}  =  {a}^{2}  \\  \\ 1600 = {a}^{2}  \\  \\ a =  \sqrt{1600}  \\  \\ a = 40 \: m \\  \\V_{cube}  =  {a}^{3}   \\  \\ V_{cube}  =  {(40)}^{3}   \\  \\ V_{cube}  =  64,000 \:  {m}^{3}

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</span>
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