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
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.