If the length of the diagonal of a cube is 6√3 cm, then the length of the edge of the cube is 3 cm. Is the given statement true or false and justify your answer.

Solution:

Given, the length of the diagonal of a cube is 6√3 cm

The length of the edge of the cube is 3 cm.

We have to determine if the given statement is true or false

Diagonal of the cube = a√3

Where, a is the length of the edge of the cube

Given, a√3 = 6√3

So, a = 6 cm

Therefore, the given statement is false.

✦ Try This: Every edge of the cube is 5 m. What is the length of the diagonal of the cube ?

Given, edge of cube is 5 m

We have to find the length of diagonal of cube

Diagonal of the cube = a√3

Where, a is the length of the edge of the cube

= (5)√3

Therefore, the diagonal of cube = 5√3 m

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13

NCERT Exemplar Class 9 Maths Exercise 13.2 Problem 8

If the length of the diagonal of a cube is 6√3 cm, then the length of the edge of the cube is 3 cm. Is the given statement true or false and justify your answer.

Summary:

The given statement “If the length of the diagonal of a cube is 6√3 cm, then the length of the edge of the cube is 3 cm” is false

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