# Lesson 15

Volume of Prisms

The practice problem answers are available at one of our IM Certified Partners

### Problem 1

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?

### Problem 2

A rectangular prism measures $$2\frac25$$ inches by $$3\frac15$$ inches by 2 inch.

1. Priya said, “It takes more cubes with edge length$$\frac25$$ inch than cubes with edge length $$\frac15$$ inch to pack the prism.” Do you agree with Priya? Explain or show your reasoning.
2. How many cubes with edge length $$\frac15$$ 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.

### Problem 3

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

2. What is the height $$h$$ for the base that is $$\frac54$$ units long? Show your reasoning. (From Grade6, Unit 4, Lesson 14.)

### Problem 4

To give their animals essential minerals and nutrients, farmers and ranchers often have a block of salt—called “salt lick”—available for their animals to lick.

1. A rancher is ordering a box of cube-shaped salt licks. The edge lengths of each salt lick are $$\frac{5}{12}$$ foot. Is the volume of one salt lick greater or less than 1 cubic foot? Explain your reasoning. 2. The box that contains the salt lick is $$1\frac14$$ feet by $$1\frac23$$ feet by $$\frac56$$ feet. How many cubes of salt lick fit in the box? Explain or show your reasoning.

### Problem 5

1. How many groups of $$\frac13$$ inch are in $$\frac34$$ inch?
2. How many inches are in $$1\frac25$$ groups of $$1\frac23$$ inches?
(From Grade6, Unit 4, Lesson 12.)

### Problem 6

Here is a table that shows the ratio of flour to water in an art paste. Complete the table with values in equivalent ratios.

cups of flour cups of water
1 $$\frac12$$
4
3
$$\frac12$$
(From Grade6, Unit 2, Lesson 12.)