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Find the Surface Area of a Cube Whose Volume is 216 Dm3. - Mathematics

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Question

Find the surface area of a cube whose volume is  216 dm3.

Answer in Brief

Solution

\[\text { Volume of the given cube = 216  }{dm}^3 \]

\[\text { We know that volume of a cube = (side ) }^3 \]

\[ \Rightarrow (\text { side ) }^3 = 216 \]

\[\text { i . e . , side = } \sqrt[3]{216} = 6 dm\]

\[ \therefore \text { Surface area of the cube = 6  }\times \text { (side ) }^2 = 6 \times (6 )^2 = 216 {dm}^2\]

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Chapter 21: Mensuration - II (Volumes and Surface Areas of a Cuboid and a Cube) - Exercise 21.3 [Page 22]

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RD Sharma Mathematics [English] Class 8
Chapter 21 Mensuration - II (Volumes and Surface Areas of a Cuboid and a Cube)
Exercise 21.3 | Q 4.2 | Page 22

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