Question

A box has a base of 13 inches by 12 inches and a height of 30 inches. What is length of the interior diagonal of the box? Round to the nearest hundredth

Answer 1

34.83 in

Explanation:

See attached

Answer 2

The diagonal of a box is found by the formula:

Diagonal = √(length^2 + width^2 + height^2)

Diagonal = √(13^2 + 12^2 + 30^2)

Diagonal = √(169 + 144 + 900)

Diagonal = √1213

Diagonal = 34.828

Rounded to nearest hundredth = 34.83 inches.