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If the length of the diagonal of a cube is 63 cm, then the length of the edge of the cube is 3 cm. - Mathematics

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Question

If the length of the diagonal of a cube is `6sqrt(3)` cm, then the length of the edge of the cube is 3 cm.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

Given, the length of the diagonal of a cube = `6sqrt(3)` cm

We consider the edge (side) of a cube be a cm.

So, diagonal of a cube = `asqrt(3)`

`6sqrt(3) = asqrt(3)`

a = 6 cm

Therefore, the edge of a cube is 6 cm.

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Chapter 13: Surface Area & Volumes - Exercise 13.2 [Page 124]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 13 Surface Area & Volumes
Exercise 13.2 | Q 8. | Page 124

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