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
To solve this problem, we can use the Pythagorean theorem to find the length of each diagonal.
Let's start with one of the diagonals inside the rectangular prism. We can imagine a right triangle formed by half the length, half the width, and the diagonal.
The length of half the length of the prism is 44/2 = 22 inches.
The length of half the width of the prism is 24/2 = 12 inches.
Using the Pythagorean theorem, we can find the length of the diagonal (d):
d^2 = (22)^2 + (12)^2
d^2 = 484 + 144
d^2 = 628
d ≈ √628
d ≈ 25.1 inches.
So, Keysha should make each diagonal approximately 25.1 inches long, rounded to the nearest tenth.