Question

How many 1/2 - inch cubes would fit inside a right rectangular prism with a length of 2 inches, a width of 1 1/2 and a height of 3 inches ?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of a right rectangular prism is calculated by multiplying its length, width, and height.

Volume = Length x Width x Height
Volume = 2 x 1.5 x 3
Volume = 9 cubic inches

Since each 1/2-inch cube has a volume of 0.5 x 0.5 x 0.5 = 0.125 cubic inches, we can calculate the number of cubes that would fit inside the prism by dividing the volume of the prism by the volume of each cube.

Number of cubes = Volume of prism / Volume of 1/2-inch cube
Number of cubes = 9 / 0.125
Number of cubes = 72

Therefore, 72 1/2-inch cubes would fit inside the right rectangular prism.