Question

An ant is sitting on one bottom corner of a cube with length of 6 cm each. What is the least possible distance that it needs to reach to opposite top corner?

Answer 1

Answer:

10.39 cm

Step-by-step explanation:

The shortest distance is the diagonal length across the cube. (See attached)

Formula to find the length of the diagonal of the cube:

Diagonal = √3 a (where a is the length of cube)

Find the length of the diagonal:

Diagonal = √3 (6) = 10.39 cm

Answer: The shortest length is 10.39 cm

Answer 2

We have to use the given formula for body diagnol :
$\sqrt{3}a$
So , by using that formula we gain ,:
$\sqrt{3} a = \sqrt{3} \times 6 \\ 1.73 \times 6 \\ = 10.39$
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