Question

A gift box is 8 inches long, 3inches wide, and 4inches tall. What is the approximate length of its longest diagonal?A? 9.4inchesB. 10.2inchesC. 15inchesD. 89inches6.What is the length of the con the graph below?A. 5 B. 6C. 7 D. 12641012xc

Answer 1

Given parameters:

Length of the gift box = 8 inches

Width of the box = 3 inches

Height of the box = 4 inches

Unknown :

Length of its longest diagonal = ?

Solution:

This is a rectangular box.

To find the diagonal of such box, let us use the formula below;

Diagonal =
`\sqrt{l^(2) + w^(2) + h^(2) }`

l is the length

w is the width

h is the height

Input the parameters and solve;

Diagonal =
`\sqrt{8^(2) + 3^(2) + 4^(2) }` = 9.4inches

The diagonal of the box is 9.4inches