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. (1 point)
To find the length of the diagonal, we can use the Pythagorean theorem.
The length of the coffee table is 44 inches, the width is 24 inches, and the height is 14 inches.
Let's use the length as the base of the triangle, and the width and height as the sides.
Using the Pythagorean theorem, the length of the diagonal, d, can be found using the formula:
d^2 = 44^2 + 24^2 + 14^2
d^2 = 1936 + 576 + 196
d^2 = 2708
Taking the square root of both sides, we get:
d = √2708
d ≈ 52.1
Therefore, Keysha should make each diagonal approximately 52.1 inches long.