Question

a worker will fill a large rectangular box with smaller boxes of candles. each box of candles is cube - shaped with an edge length of 1 foot. the worker fills the bottom row of the large box with 18 of the smaller boxes. to completely fill the large box, he needs to add 3 more rows of the small boxes. what is the volume, in cubic feet, of the large box?

Explanation:

Step1: Calculate number of rows

The bottom - row is 1 row, and 3 more rows are added. So the total number of rows is $1 + 3=4$ rows.

Step2: Calculate number of small boxes

Each row has 18 small boxes, and there are 4 rows. The total number of small boxes is $18\times4 = 72$ small boxes.

Step3: Calculate volume of small box

The volume of a small cube - shaped box with edge length $a = 1$ foot is $V_{small}=a^{3}=1^{3}=1$ cubic foot.

Step4: Calculate volume of large box

The volume of the large box is equal to the total number of small boxes times the volume of one small box. So $V_{large}=72\times1 = 72$ cubic feet.

Answer:

72