# Lesson 17

Applying Volume and Surface Area

### Lesson Narrative

In this second lesson on applying surface area and volume to solve problems, students solve more complex real-word problems that require them to choose which of the two quantities is appropriate for solving the problem, or whether both are appropriate for different aspects of the problem. They use previous work on ratios and proportional relationships, thus consolidating their knowledge and skill in that area. When students bring together knowledge of different areas of mathematics to solve a complex problem, they are engaging in MP4.

Teacher Notes for IM 6–8 Math Accelerated
This lesson is optional. Use it if students need more practice calculating volume and surface area measurements for real-world objects.

### Learning Goals

Teacher Facing

• Apply reasoning about surface area and volume of prisms as well as proportional relationships to calculate how much the material to build something will cost, and explain (orally and in writing) the solution method.

### Student Facing

Let's explore things that are proportional to volume or surface area.

### Student Facing

• I can solve problems involving the volume and surface area of children’s play structures.