A pool in the shape of a rectangular prism is being filled with water. The length and width of the pool is 24 feet and 15 feet. If the height of the water in the pool is \(1\frac13\) feet, what is the volume of the water in cubic feet?

1. Which expression can be used to find how many cubes with edge lengths of \(\frac13\) unit fit in a prism that is 5 units by 5 units by 8 units? Explain or show your reasoning.

   • \((5 \boldcdot \frac 13) \boldcdot (5 \boldcdot \frac 13) \boldcdot (8 \boldcdot \frac 13)\)

   • \(5 \boldcdot 5 \boldcdot 8\)

   • \((5 \boldcdot 3) \boldcdot (5 \boldcdot 3) \boldcdot (8 \boldcdot 3)\)

   • \((5 \boldcdot 5 \boldcdot 8) \boldcdot (\frac 13)\)

2. Mai says that we can also find the answer by multiplying the edge lengths of the prism and then multiplying the result by 27. Do you agree with her? Explain your reasoning.

A rectangular prism measures \(2\frac25\) inches by \(3\frac15\) inches by 2 inches.

1. Priya said, “It takes more cubes with edge lengths of \(\frac25\) inch than cubes with edge lengths of \(\frac15\) inch to pack the prism.” Do you agree with Priya? Explain or show your reasoning.

2. How many cubes with edge lengths of \(\frac15\) inch fit in the prism? Show your reasoning.

3. Explain how you can use your answer in the previous question to find the volume of the prism in cubic inches.

1. Here is a right triangle. What is its area?

   

   A right triangle with horizontal base on the bottom, labeled five fourths centimeter. One side is labeled three fourths centimeter and the other side is labeled 1 centimeter. A vertical dashed line is drawn from the right angle to the horizontal base and labeled h.

2. What is the height \(h\) for the base that is \(\frac54\) units long? Show your reasoning.

A bucket contains \(11\frac23\) gallons of water and is \(\frac56\) full. How many gallons of water would be in a full bucket? 

1. Write a multiplication and a division equation to represent the situation.
2. Find the answer and show your reasoning.

There are 80 kids in a gym. 75% are wearing socks. How many are not wearing socks? If you get stuck, consider using a tape diagram.