Rowe Maxwell
02/05/2024 · High School
3 A piccolo case is shaped like a rectangular prism. The case is 3 inches tall, 2 inches wide, and has a volume of 60 cubic inches. What is the length of the piccolo case? Show your work.
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Step-by-step Solution
To find the length of the piccolo case, we can use the formula for the volume of a rectangular prism:
Volume = Length × Width × Height
We are given:
Volume = 60 cubic inches
Height = 3 inches
Width = 2 inches
Let's denote the length as L. Now we can plug in the values we have into the formula:
60 = L × 2 × 3
Now, we can solve for L:
60 = 6L
To isolate L, we divide both sides of the equation by 6:
L = 60 / 6
L = 10 inches
So, the length of the piccolo case is 10 inches.
Quick Answer
The length of the piccolo case is 10 inches.
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