Question

A flute case is shaped like a rectangular prism. The caseis 5inches tall, 3 inches wide, and has a volume of 255 cubic inches

Answer 1

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:

$\text{Volume}=\text{Width}\times \text{Length}\times \text{Height}$

Thus,

$255=5\cdot x\cdot 3\\ \\255=15x\\ \\x=\dfrac{255}{15}=17$

The length of the case is 17 inches.