To find the length of each diagonal, we can use the Pythagorean theorem.
Let's consider one of the diagonals in the rectangular prism. This diagonal will be the hypotenuse of a right triangle with the height, width, and length of the coffee table as the other three sides.
Using the Pythagorean theorem, we have:
diagonal^2 = height^2 + width^2 + length^2
diagonal^2 = 14^2 + 24^2 + 44^2
diagonal^2 = 196 + 576 + 1936
diagonal^2 = 2708
Taking the square root of both sides:
diagonal = √2708
diagonal ≈ 52.0
Therefore, Keysha should make each diagonal approximately 52.0 inches long, rounded to the nearest tenth.
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)
1 answer