Question

A crate in the shape of rectangular prism is 52 cm long and 39 CM wide and 24 cm high what is the length of the longest rod that can fit inside the crate and turn the answer in the box round the answer to the nearest hundredth of a centimeter

blank centimeters

Answer 1

[AI-generated answer — Bot GPT 3.5]

The longest rod that can fit inside the crate will have a diagonal that connects two opposite corners of the rectangular prism.

Using the formula d = √(l^2 + w^2 + h^2), where l is the length, w is the width, and h is the height of the rectangular prism, we can calculate the diagonal.

d = √(52^2 + 39^2 + 24^2)
d = √(2704 + 1521 + 576)
d = √4801
d ≈ 69.32 cm

Therefore, the length of the longest rod that can fit inside the crate is approximately 69.32 cm.

Answer: 69.32 centimeters