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

The length of the case is 17 inches.

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}* \text{Length}* \text{Height}`

Thus,

`255=5\cdot x\cdot 3\\ \\255=15x\\ \\x=(255)/(15)=17`

The length of the case is 17 inches.