# Real-World Volume Problems

Video solutions to help Grade 7 students learn how to use the volume formula for a right prism (V = Bh) to solve volume problems involving rate of flow.

## New York State Common Core Math Grade 7, Module 6, Lesson 27

### Lessons 27 Student Outcomes

• Students use the volume formula for a right prism ( ) to solve volume problems involving rate of flow.

Lesson 27

Example 1

A swimming pool holds 10,000 ft3 of water when filled. Jon and Anne want to fill the pool with a garden hose. The garden hose can fill a five-gallon bucket in 30 seconds. If each cubic foot is about 7.5 gallons, find the flow rate of the garden hose in gallons per minute and in cubic feet per minute. About how long will it take to fill the pool with a garden hose? If the hose is turned on Monday morning at 8:00 a.m., approximately when will the pool be filled?

Example 2

A square pipe (a rectangular prism shaped pipe) with inside dimensions of 2 in. x 2 in. has water flowing through it at the speed of 3 ft./s. The water flows into a pool in the shape of a right triangular prism, with a base in the shape of a right isosceles triangle and with legs that are each 5 feet in length. How long will it take for the water to reach a depth of 4 feet?