Keisha is building a coffee table. It's going to be 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. Keisha would make each diagonal round the answer to the nearest tenth
To find the length of the metal diagonal, we can use the Pythagorean Theorem, which states that the square of the length of the diagonal is equal to the sum of the squares of the other two sides.
Let's denote the length, width, and height of the rectangular prism as L, W, and H, respectively.
The diagonal length (D) can be calculated as: D = √(L^2 + W^2 + H^2)
Plugging in the values given:
D = √(44^2 + 24^2 + 14^2)
D = √(1936 + 576 + 196)
D = √2708
D ≈ 52 in
Therefore, Keisha would make each metal diagonal approximately 52 inches long to decorate the coffee table.