The pencil will fit if its length is smaller than length of the diagonal of the cube
The pencil will fit inside the box
How to determine if the pencil will fit?
The dimension of the cube is given as:
L = 10 cm
Calculate the diagonal (D) of the cube using:
D = (3L^2)^(1/2)
So, we have:
D = (3 * 10^2)^(1/2)
Evaluate
D = 17.3
The length of the diagonal is greater than the length of the pencil (17 cm)
Hence, the pencil will fit inside the box
Read more about diagonals at:
https://brainly.com/question/10187910
