Final answer:
The volume of the rectangular prism-shaped sewing case is 8 cubic inches.
Step-by-step explanation:
The volume of a rectangular prism-shaped sewing case can be calculated by multiplying the length, width, and height of the case. In this case, we can use the provided dimensions:
Length = 21/2 inches,
Width = 23/4 inches,
Height = 31/2 inches.
We can simplify these measurements as follows:
Length = √2 inches,
Width = (21/2)2 inches,
Height = (31/2)2 inches.
The volume formula for a rectangular prism is V = length × width × height. Plugging in the simplified measurements, we get:
V = (√2 inches) × ((21/2)2 inches) × ((31/2)2 inches).
Simplifying further, we get:
V = 2 inches × 22 inches × 3 inches = 8 cubic inches.
Therefore, the correct answer choice for the volume of the rectangular prism-shaped sewing case is option D) 13.75 cubic inches.