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The volume of a cube is 343 cm3. Find its total surface area. - Geometry Mathematics 2

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प्रश्न

The volume of a cube is 343 cm3. Find its total surface area.

योग

उत्तर

Let a be the side length of the cube.
Volume of the cube = 343 cm3

\[\Rightarrow a^3 = 343 = \left( 7 \right)^3 \]

\[ \Rightarrow a = 7 cm\]

∴ Total surface area of the cube = 

\[6 a^2 = 6 \times 7 \times 7 = 294 {cm}^2\]
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Surface Area and Volume of Three Dimensional Figures
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2016-2017 (March) B

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