Surface Area

Examples, videos, and solutions to help Grade 7 students learn how to determine the surface area of three-dimensional figures, including both composite figures and those missing sections.

New York State Common Core Math Grade 7, Module 6, Lesson 23

Worksheets for Grade 7

Lessons 23 Student Outcomes

• Students learn how to determine the surface area of three-dimensional figures, including both composite figures and those missing sections.

Lessons 23 Summary

• To determine the surface area of a right prism, find the area of each lateral face and the two base faces, then add the areas of all the faces together.

Lesson 23

Opening Exercise

Calculate the surface area of the square pyramid.

Example 1
a. Calculate the surface area of the rectangular prism.
b. Imagine that a piece of the rectangular prism is removed. Determine the surface area of both pieces.
c. How is the surface area in part (a) related to the surface area in part (b)?

Exercises 1–5
Determine the surface area of the right prisms.

Determine and explain how to find the surface area of the following right prisms.

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