question_answer 19)

                Find the side of a cube whose surface area is \[600\,c{{m}^{2}}\].

Answer:

                Let the side of the cube be a cm. Then, Total surface area of the cube \[=6{{a}^{2}}\] According to the question, \[6{{a}^{2}}=600\] \[\Rightarrow \]               \[{{a}^{2}}=\frac{600}{6}\] \[\Rightarrow \]               \[{{a}^{2}}=100\] \[\Rightarrow \]               \[a=\sqrt{100}\] \[\Rightarrow \]               \[a=10\,cm\]                 Hence, the side of the cube is 10 cm.