Answer:
d ≈ 10.5
Step-by-step explanation:
The formula for the diagonal of a retangular prism (cuboid) is
[tex]d=\sqrt{l^2+w^2+h^2}[/tex]
1.) Plug in all the values for l, w, and h
[tex]d=\sqrt{5^2+6^2+7^2}[/tex]
2.) simplify by squaring the terms inside the square root
5 * 5 = 25
6 * 6 = 36
7 * 7 = 49
[tex]d=\sqrt{25+36+49}[/tex]
3.) Add the terms
[tex]d=\sqrt{110}[/tex]
4.) Simplify
[tex]d = 10.488[/tex]
5.) Round to one decimal place
d ≈ 10.5
