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Question

Question: A cube has numerically equal volume and surface area. The volume of such a cube is...

A cube has numerically equal volume and surface area. The volume of such a cube is

A

216 units

B

1000 units

C

2000 units

D

3000 units

Answer

216 units

Explanation

Solution

Volume of cube = a3a^{3}

Surface area of cube = 6a26a^{2}

according to problem a3 = 6a2 ⇒ a = 6

∓V=a3=216unitsV = a^{3} = 216units.