Mr. Price makes cakes for special occasions. His most popular-sized cakes have a volume of 360 cubic inches. The cakes have a height, or thickness, of 3 inches, and have different whole number lengths and widths. No cakes have a length or width of 1 or 2 inches. How many different cakes, each with a different-size base, have a volume of 360 cubic inches?

There are total of 8 different possible combination of length and width

Step-by-step explanation:

Volume = 360 cubic inches

Height = 3 inches

Volume = l x w x h

360 = l x w x 3

l x w = 120

The factors of 120 are,

1 x 120,

2x 60,

3 x 40,

4 x 30,

5 x 24,

6 x 20,

8 x 15,

10 x 12

There are total of 8 different possible combination of length and width.

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