Vanessa is sculpting statues which require about 2/9 cubic foot of clay. If she has 2 cubic yards of clay, how many statues can Vanessa make? Please explain your answer. Thank you!

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ANSWER

[tex]243\text{ statues}[/tex]

EXPLANATION

First, we have to convert the amount of clay that she has into cubic feet.

To do that, use the conversion rate:

[tex]1\text{ }yd^3=27\text{ }ft^3[/tex]

Therefore, 2 cubic yards in cubic feet is:

[tex]2\text{ }yd^3=2*27=54\text{ }ft^3[/tex]

Now, to find how many statues she can make, we have to divide the amount of clay she has by the amount of clay she needs for one statue.

That is:

[tex]\begin{gathered} \frac{54}{\frac{2}{9}} \\ 54*\frac{9}{2} \\ 243\text{ statues} \end{gathered}[/tex]

That is the number of statues that she can make.

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