A rectangular box measures exactly 72 cubic feet. What are its possible dimensions? Give 3 answers.

Experiment with this problem. What three numbers when multiplied together equal 72?

Here's a start:

6 * 6 * 2

that doesnt help

To find the possible dimensions of a rectangular box that measures exactly 72 cubic feet, we need to look for pairs of numbers that multiply together to give 72. Here's how you can find the answers:

1. Start with the number 72 and find its factors. The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

2. Now, pair up the factors to form pairs of dimensions that multiply to give 72. For example, (1, 72), (2, 36), (3, 24), (4, 18), (6, 12), and (8, 9).

3. For each pair, write down the dimensions of the rectangular box. The dimensions would be (length, width, height) or (length, width, height), depending on the orientation you choose.

Here are three possible answers with different orientations:

Answer 1:
Length: 1 foot
Width: 72 feet
Height: 1 foot

Answer 2:
Length: 2 feet
Width: 36 feet
Height: 2 feet

Answer 3:
Length: 3 feet
Width: 24 feet
Height: 4 feet

These are three possible dimensions of a rectangular box measuring exactly 72 cubic feet.