Final answer:
The dimensions of the prism are given as 3 inches × 2 inches × 2 inches. The volume of this prism is not 15 cubic inches. The volume of this prism with -inch unit cubes equals the volume of the prism with 1-inch cubes.
Step-by-step explanation:
The dimensions of the prism are given as 3 inches × 2 inches × 2 inches. To find the volume, we multiply the length, width, and height of the prism: 3 inches × 2 inches × 2 inches = 12 cubic inches. Therefore, the statement 'The volume of this prism is 15 cubic inches' is false.
Since each cube in the figure is a 1-inch cube (according to the question), the volume of the prism with 1-inch cubes is equal to the volume of the prism with -inch unit cubes. Therefore, the statement 'The volume of this prism with -inch unit cubes is the volume of the prism with 1-inch cubes' is true.
The number of cubes in the prism can be determined by dividing the volume of the prism (12 cubic inches) by the volume of each cube (1 cubic inch): 12 cubic inches ÷ 1 cubic inch = 12 cubes. Therefore, the statement 'There are 96 cubes in the prism' is false.