Question

keysha is building a coffee table. its 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) in.

Explanation:

Step1: Use the formula for the space diagonal of a rectangular prism

The formula for the space diagonal \(d\) of a rectangular prism with length \(l\), width \(w\), and height \(h\) is \(d=\sqrt{l^{2}+w^{2}+h^{2}}\). Here, \(l = 44\) in, \(w = 24\) in, and \(h=14\) in.

Step2: Substitute the values into the formula

$$
LATEXBLOCK0
$$

Step3: Calculate the square - root

\(\sqrt{2708}\approx52.0\) (rounded to the nearest tenth)

Answer:

\(52.0\)