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3. Elana has a box with the dimensionsshown below. She wants to fill the boxwith 1-centimeters cubes. How many1-centimeter cube are needed to fill thebox?4cm3cma6cm

3. Elana has a box with the dimensionsshown below. She wants to fill the boxwith 1-centimeters-example-1

1 Answer

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ANSWER:

72 box with 1-centimeter cubes

Explanation:

To know how many box with 1-centimeter cubes the figure will fit, you must calculate the total volume of the figure in square centimeters.

The volume of salcula by means of the following formula:


V=l\cdot w\cdot h

Where l is length, w is width, and h is height

l = 6

w = 3

h = 4

Replacing:


\begin{gathered} V=6\cdot3\cdot4 \\ V=72\operatorname{cm}^3 \end{gathered}

Now we calculate the number of boxes, it would be:


n=\frac{72\operatorname{cm}^3}{1\operatorname{cm}^3}=72

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