To find the width of the suitcase, we need to use the formula for the volume of a rectangular prism:
Volume = Length × Width × Height
Given the volume of the suitcase as 8,556 cubic inches, the length as 32 inches, and the height as 15.5 inches, we can write the equation:
8556 = 32 × w × 15.5
Simplifying this equation, we can divide both sides by the product of 32 and 15.5:
8556 ÷ (32 × 15.5) = w
Solving for w, we get:
w ≈ 16.50 inches
Therefore, the width of the suitcase is approximately 16.50 inches.