Amite wants to make a mold for a candle. She wants the shape of the candle to be a rectangular prism with a volume of exactly 23 cubic centimeters. She wants the sides to be whole centimeters. How many different molds can she make?
Since the only factors of 23 are 1 and 23, there can be only one mold.
1 * 1 * 23 = 23 cubic centimeters
To calculate the number of different molds Amite can make, we need to find all the possible dimensions (length, width, and height) of a rectangular prism with a volume of 23 cubic centimeters.
Let's consider the factors of 23: 1 and 23.
Since Amite wants the sides of the prism to be whole centimeters, the dimensions of the prism must be:
1 x 1 x 23
or
1 x 23 x 1
or
23 x 1 x 1
So, Amite can make 3 different molds for the candle: a prism with dimensions 1x1x23, 1x23x1, or 23x1x1.