Answer :

frika

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.

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