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The dimensions of a CD case are 14.2cm by 12.5cm. Each case is approxiomately 1cm deep. What would be the volume of this stack of 17 cd cases to the nearest tenth?

User Ellyn
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2 Answers

3 votes

Final answer:

The volume of the stack of 17 CD cases is 3017.5 cm³.

Step-by-step explanation:

To find the volume of a single CD case, we multiply the length, width, and depth of the case.

The volume of a single CD case is (14.2 cm)(12.5 cm)(1 cm) = 177.5 cm³.

To find the volume of 17 CD cases, we multiply the volume of a single CD case by 17.

The volume of the stack of 17 CD cases is 17 * 177.5 cm³ = 3017.5 cm³.

Rounded to the nearest tenth, the volume of the stack of 17 CD cases is 3017.5 cm³.

User Colddie
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4.7k points
3 votes

Answer:

3017.5 cm³

Step-by-step explanation:

The volume of a rectangular prism is V = l × w × h

Here the length is 14.2, the width is 12.5, and the height is 1

Plugging these into our formula we get V = (14.2)(12.5)(1) = 177.5 cm³

Since there are 17 CD cases stacked on top of each other, we will multiply our number by 17 which gives us (177.5)(17) = 3017.5 cm³

User WebQube
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4.4k points