Question If you want the diagonal, d, to be at least 41.5 inches, what would be a possible length, width, and height for the box? (1 point) Responses 20 inches, 21 inches, 26 inches 20 inches, 21 inches, 26 inches ​​​​​​​21 inches, 24 inches, 26 inches ​​​​​​​ 21 inches, 24 inches, 26 inches 20 inches, 20 inches, 27 inches 20 inches, 20 inches, 27 inches 23 inches, 24 inches, 25 inches

1 answer

To find the length of the diagonal, you can use the Pythagorean theorem: d^2 = l^2 + w^2 + h^2.

Let's try the options:
1. 20^2 + 21^2 + 26^2 = 400 + 441 + 676 = 1517.
2. 21^2 + 24^2 + 26^2 = 441 + 576 + 676 = 1693.
3. 20^2 + 20^2 + 27^2 = 400 + 400 + 729 = 1529.
4. 23^2 + 24^2 + 25^2 = 529 + 576 + 625 = 1730.

Therefore, the possible length, width, and height for the box would be 23 inches, 24 inches, and 25 inches.