Answer:
The length of the case is 17 inches.
Step-by-step explanation:
A flute case is shaped like a rectangular prism with dimensions:
- height = 5 inches;
- width = 3 inches;
- length = x inches.
The volume of the case is 255 cubic inches.
Use formula for the volume of the rectangular prism:
[tex]\text{Volume}=\text{Width}\times \text{Length}\times \text{Height}[/tex]
Thus,
[tex]255=5\cdot x\cdot 3\\ \\255=15x\\ \\x=\dfrac{255}{15}=17[/tex]
The length of the case is 17 inches.
