Question

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!

Answer 1

`243\text{ statues}`

Step-by-step explanation

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

To do that, use the conversion rate:

`1\text{ }yd^3=27\text{ }ft^3`

Therefore, 2 cubic yards in cubic feet is:

`2\text{ }yd^3=2*27=54\text{ }ft^3`

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:

`\begin{gathered} (54)/((2)/(9)) \\ 54*(9)/(2) \\ 243\text{ statues} \end{gathered}`

That is the number of statues that she can make.