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If the area of one face of a cube is 1.5 times of the perimeter of that face (in value), then the…

Let the side of the cube be \(a\). Area of one face \(= a^2\) and perimeter of one face \(= 4a\). Given \(a^2 = 1.5 \times (4a) = 6a \implies a = 6\) units. Therefore, the…

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If the area of one face of a cube is 1.5 times of the perimeter of that face (in value), then the volume of the cube is -

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Let the side of the cube be aa. Area of one face =a2= a^2 and perimeter of one face =4a= 4a. Given a2=1.5×(4a)=6a  ⟹  a=6a^2 = 1.5 \times (4a) = 6a \implies a = 6 units. Therefore, the volume of the cube is a3=63=216a^3 = 6^3 = 216 cubic units.

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