Can Lucas pack the 12 TV sound bar boxes in one large box?

Question

Lucas gets an order for 12 TV sound bars. He needs to pack the TV sound bars for posting.

Each TV sound bar is in a box that is cuboid 70mm by 940mm by 80mm.

Lucas wants to pack these 12 boxes into one large box. The large box is also cuboid 1000mm by 250mm by 350mm.

Can Lucas pack the 12 TV sound bar boxes in one large box?

Answer 1

1. Calculate the volume of each sound bar box. 7 * 94 * 8 = 5,264, so 70 * 940 * 80 = 5,264,000 mm³.
2. Multiple the volume of each sound bar box by 12. 5,264 * 12 = 63,168, so 5,264,000 * 12 = 63,168,000 mm³.
3. Calculate the volume of the large box. 100 * 25 * 35 = 87,500, so 1,000 * 250 * 350 = 87,500,000 mm³.
4. Compare the volumes in steps 2 and 3. 63,168,000 < 87,500,000.

Answer: Yes, Lucas can pack the 12 TV sound bar boxes in the large box.

Answer 2

Yes he can..

The 940 mm edge of the small box must go along the 1000 mm edge of the large.

The 80 mm edge of the small box goes along the 350 mm edge of the large.

He now has a layer of 4 boxes.

He now stacks three more layers (70 mm edge along the 250 mm edge).