Suppose an airline policy states that all baggage must be​ box-shaped with a sum of​ length, width, and height not exceeding 144 in. What are the dimensions and volume of a​ square-based box with the greatest volume under these​ conditions?

110592 in³

Step-by-step explanation:

Since baggage should take the shape of a box; with the sum of it's dimension not exceeding 144 ;

Dimensions of a box : length, width, height

If ; l + w + h = 144

Greatest volume is obtained when the dimension is equal : such that l = w = h

Hence, each dimension becomes ; 144 / 3 = 48 in

Volume of box = length * width * height

Volume = 48 * 48 * 48

Volume = 48³ = 110592

11:22 AM

Step-by-step explanation:

By means of a statement we can know that:

After an hour and 8 minutes, he stays 8 minutes behind

Which means that in 2 hours, it will take 16 minutes

If it is 10:30, it means that it is 6:30 hours later, that is to say 6.5.

therefore 6.5 x 8 = 52

Which means that at 10:30 the clock is 52 minutes late

So the correct time is 11:22 AM