To find the length of each diagonal, we can use the Pythagorean theorem.
Let's consider one of the diagonals that goes from one corner of the rectangular prism to the opposite corner.
Using the Pythagorean theorem, we have:
diagonal^2 = length^2 + width^2 + height^2
Plugging in the values, we get:
diagonal^2 = 44^2 + 24^2 + 14^2
diagonal^2 = 1936 + 576 + 196
diagonal^2 = 2708
Taking the square root of both sides, we find:
diagonal = √2708
diagonal ≈ 52.03 inches
Therefore, Keisha should make each diagonal around 52.03 inches in length (to the nearest tenth).
Keisha 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 inches the width 24 inches and the height 14 inches find the length Keisha should make each diagonal around the answer to the nearest tenth
1 answer