Suppose You Have Two Boxes, Each of Which Is a Cube

question 20

Multiple Choice

Suppose you have two boxes, each of which is a cube. Suppose further that the length of a side of the second box is twice as long as the length of a side of the first box. If the length of a side of the first box is x , find the volume of each box. Then find the number of smaller boxes that will fit inside the larger box.

• A) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .
• B) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .
• C) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .
• D) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .
• E) The volume of the smaller box is . The volume of the larger box is . The number of smaller boxes that will fit inside the larger box is .

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Definitions:

Expected Value

The long-run average value of repetitions of the experiment it represents, often used in probability and statistics.

Shopping Outlet

A retail store or set of stores where products are sold directly to the public, often at reduced prices.

Covariance

A measure of the degree to which two variables change together, indicating the direction of their linear relationship.

Coefficient of Correlation

A statistical measure that calculates the strength and direction of a linear relationship between two variables on a scatter diagram.