Question

find the volume of a cube whose surface area is 150 m square

Answer 1

Surface area = 6a²

150                = 6a²

150/6              = a²

25                   = a²

5                     = a


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Volume = a³
           
             = 5³
   
             = 125 m³



i hope this will help you


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Answer 2

we know that
$t.s.a. = 6{a}^{2}$
$150 = 6 {a}^{2}$
$\frac{150}{6 } = {a}^{2}$
$25 = {a}^{2}$
$\sqrt{25} = a$
$a = 5$
$Volume \: of \: the \: cube = {a}^{3}$
$= {25}^{3}$
$= 125$
Hence, the area is 125 m³


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