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# The surface area of a cube is 726 sq cm. Find the volume of the cube.

 A) 1331 $$\Large cm^{3}$$ B) 1232 $$\Large cm^{3}$$ C) 1626 $$\Large cm^{3}$$ D) 1836 $$\Large cm^{3}$$

 A) 1331 $$\Large cm^{3}$$

According to the question,

$$\Large 6a^{2} = 726$$ [a = edge of the cube]

=>$$\Large a^{2} = \frac{726}{6} = 121$$

Therefore, $$\Large a = \sqrt{121} = 11 cm$$

Therefore, Required volume =

$$\Large a^{3} = 11^{3} = 1331 cm^{3}$$

Part of solved Volume and surface area questions and answers : >> Elementary Mathematics >> Volume and surface area

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