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If the length of each edge of a cube is tripled, what will be the change in its volume? - Mathematics

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Question

If the length of each edge of a cube is tripled, what will be the change in its volume?

Sum

Solution

Let the edge of a cube be a.

If edge of the cube became tripled i.e. a = 3 × a = 3a

... Volume of the cube = a3

... Volume of the cube with edge tripled = (3a)3 = 27a3

Hence, volume is 27 times of the original volume.

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Chapter 11: Mensuration - Exercise [Page 356]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 11 Mensuration
Exercise | Q 93. | Page 356
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