The volume of a cube in $m^{3}$ is equal to the surface area of the cube in $m^{2} .$ The volume of the cube is:

64 m^{3}

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216

m^{3}

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512

m^{3}

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196

m^{3}

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Solution

The correct option is B $216$ $m^{3}$
Let the length of a side of the cube be $l$ .
So, as per given condition:
$l^{3} = 6 l^{2}$
$\Rightarrow$ $l = 6$
$∴$ Volume $= l^{3} = 6^{3} m^{3} = 216 m^{3}$

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Question 7
The lateral surface area of a cube is $256 m^{2}$ . The volume of the cube is:

A) $512 m^{3}$
B) $64 m^{3}$
C) $216 m^{3}$
D) $256 m^{3}$

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The volume of a cube in m3 is equal to the surface area of the cube in m2. The volume of the cube is:

The correct option is B 216 m3Let the length of a side of the cube be l.So, as per given condition:l3=6l2⇒ l=6∴ Volume =l3=63 m3=216 m3

The volume of a cube in $m^{3}$ is equal to the surface area of the cube in $m^{2} .$ The volume of the cube is:

The correct option is B $216$ $m^{3}$
Let the length of a side of the cube be $l$ .
So, as per given condition:
$l^{3} = 6 l^{2}$
$\Rightarrow$ $l = 6$
$∴$ Volume $= l^{3} = 6^{3} m^{3} = 216 m^{3}$