Question

A large box is to be filled with smaller boxes. The bottom of the large box is a square whose sides measure 18.3 inches. The smaller boxes also have a square bottom. The sides of the smaller boxes are 6.1 inches long. How many of the smaller boxes will completely fill the bottom of the larger box. Explain

Answer 1

Approximately 1.72 small boxes will completely fill the bottom of the larger box.

Step-by-step explanation:

To determine how many small boxes will completely fill the bottom of the larger box, we need to find the area of both the large square and the small square. The large square has sides measuring 8 inches, while the small square has sides measuring 6.1 inches. To find the number of small boxes that can fit in the large box, we divide the area of the large square by the area of the small square.

The area of the large square is 8 inches * 8 inches = 64 square inches.

The area of the small square is 6.1 inches * 6.1 inches = 37.21 square inches.

Dividing the area of the large square by the area of the small square gives us 64 square inches / 37.21 square inches ≈ 1.72.

Therefore, approximately 1.72 small boxes will completely fill the bottom of the larger box.