Question

type the correct answer in the box. use numerals instead of words.
what is the length of the diagonal shown in the rectangular prism? round your answer to the nearest tenth.
7 ft
5 ft
4 ft

Explanation:

Step1: Identify prism dimensions

Length $l=7$ ft, width $w=4$ ft, height $h=5$ ft.

Step2: Apply 3D diagonal formula

Diagonal $d=\sqrt{l^2 + w^2 + h^2}$
$d=\sqrt{7^2 + 4^2 + 5^2}=\sqrt{49+16+25}=\sqrt{90}$

Step3: Calculate and round

$\sqrt{90}\approx9.5$

Answer:

9.5