# Surface Area

Video 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.

Related Topics:

Lesson
Plans and Worksheets for Grade 7

Lesson
Plans and Worksheets for all Grades

More
Lessons for Grade 7

Common Core For Grade 7

## New York State Common Core Math Grade 7, Module 6, Lesson 24

### Lessons 24 Student Outcomes

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

### Lessons 24 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 24
Opening Exercise

Example 1

Determine the surface area of the image.

Example 2

a. Determine the surface area of the cube.

b. A square hole with a side length of inches is drilled through the cube. Determine the new surface area.

Example 3

A right rectangular pyramid has a square base with a side length of 10 inches. The surface area of the pyramid is 260 in

^{2}
Find the height of the four lateral triangular faces.

Exercises 1–8

Determine the surface area of each figure. Assume all faces are rectangles unless it is indicated otherwise.

2. In addition to your calculation, explain how the surface area was determined.

4. In addition to your calculation, explain how the surface area was determined.

5. A hexagonal prism has the following base and has a
height of 8 units. Determine the surface area of the
prism.

6. Determine the surface area of each figure.

b. A cube with a square hole with 3 m side lengths has been drilled through the cube.

c. A second square hole with m side lengths has been drilled through the cube.

7. The figure below shows 28 cubes with an edge length of 1 unit. Determine the surface area.

8. The base rectangle of a right rectangular prism is 4 ft. × 6 ft. The surface area is 288 ft

^{2}. Find the height.
Let h be the height in feet.

Lesson 24
Example 3

A right rectangular pyramid has a square base with a side length of 10 inches. The surface area of the pyramid is 260 in

^{2}Find the height of the four lateral triangular faces.

Lesson 24 Exit Ticket
Determine the surface area of the right rectangular prism after the two square holes have been drilled. Explain how you determined the surface area.