Keysha is building a coffee table. It's going to be in the shape of a rectangular prism, without the faces. She wants to make the table decorative by adding metal diagonals. The length of the coffee table will be 44 in., the width 24 in., and the height 14 in. Find the length Keysha should make each diagonal. Round the answer to the nearest tenth.
The diagonal can be found using the formula
diagonal = sqrt(length^2 + width^2 + height^2).
Plugging in the given values, we get
diagonal = sqrt((44)^2 + (24)^2 + (14)^2)
= sqrt(1936 + 576 + 196)
= sqrt(2708).
Rounding to the nearest tenth, we get
diagonal ≈ 52.0 inches.