The maximum length of a stick that can be kept in a rectangular box of dimensions 15 cm × 8 cm ×6 cm is:

Correct option is B

Given:

The dimensions of the rectangular box are:

Length = 15 cm

Width = 8 cm

Height = 6 cm

Formula Used:

To find the maximum length of a stick that can fit in the box, we need to calculate the diagonal of the rectangular box.

The formula for the diagonal d of a rectangular box with dimensions l, w, and h is given by:

d =$$\sqrt{l^2 + w^2 + h^2}$$​

Solution:

d =$$\sqrt{15^2 + 8^2 + 6^2}$$​

d = $$\sqrt{225 + 64 + 36}$$​

d =$$\sqrt{325}$$​

d = 5$$\sqrt {13}$$ cm