Question

Fly-by-night airlines has a peculiar rule about luggage: the length (L) and width (W) of a bag must add up to at most 39 inches, and the width (W) and height (H) must also add up to at most 39 inches. What are the dimensions of the bag with the largest volume that Fly-by-night will accept?

a) L = 13 in, W = 13 in, H = 13 in
b) L = 12 in, W = 13 in, H = 14 in
c) L = 15 in, W = 12 in, H = 12 in
d) L = 14 in, W = 14 in, H = 11 in

Answer 1

The dimensions of the bag with the largest volume that Fly-by-night airlines will accept are L = 13 in, W = 13 in, and H = 13 in.

Step-by-step explanation:

To find the dimensions of the bag with the largest volume, we need to maximize the volume of the bag. The volume of a rectangular prism (bag) is given by the formula V = LWH, where V is the volume, L is the length, W is the width, and H is the height.

Let's analyze the given options:

• Option a: V = 13 * 13 * 13 = 2197 cubic inches
• Option b: V = 12 * 13 * 14 = 2184 cubic inches
• Option c: V = 15 * 12 * 12 = 2160 cubic inches
• Option d: V = 14 * 14 * 11 = 2156 cubic inches

Therefore, the bag with the largest volume that Fly-by-night will accept is option a) with dimensions L = 13 in, W = 13 in, and H = 13 in.