3D Modeling of Volume and Surface Area

ACP Lesson Plan 

3D Modeling of Volume and Surface Area


 Nick Schaumberg

Subject(s):  Math
Grade Level(s): 10 (Geometry)Total Time: 

2-3 Class Periods

Overview / Description:

Students will create a 3D model comprised of 3 different shapes. This will be done with Play-doh or in Tinkercad.  They will then find the volume and surface area of the composite 3D shape.

Learning goals/objectives:

After completing this activity, students should be able to . . .

  • Find the volume of a composite shape.
  • Find the surface area of a composite shape.

Workplace Readiness Skill: 

    Social Skills   Communication 
   Teamwork    x      Critical Thinking
x    Attitude and Initiative  x  Planning and Organization
   Professionalism    Media Etiquette

Content Standards:

Wisconsin Standards for Mathematics

Geometric Measurement and Dimension

Explain volume formulas and use them to solve problems

Standards for Mathematical Practice

CCSS.MATH.PRACTICE.MP1 Make sense of problems and persevere in solving them.

CCSS.MATH.PRACTICE.MP4 Model with mathematics.

CCSS.MATH.PRACTICE.MP6 Attend to precision.

Educational Frameworks:

B-LS 2. Demonstrate creativity

B-LS 5. Apply media and technology skills


  • Computer or Play-doh
  • Student sheet (below)
  • www.tinkercad.com
  • Calculator
  • Lesson plans on volume and surface area, as found on Khan Academy

Download: Student_Worksheet_qflrw2P.pdf

Download: 3D_Model_volume_and_Surface_area.pdf

Learning Activities:

WHO (T=Teacher Focus Lesson; WG=Whole Group\; SM=Small Group; I=Independent)

Learning Activity Task                                                WHO is responsible
for this step?
Approximate time
for task
Day 1
Teacher should start by introducing the concept of volume and surface area. Khan Academy has a number of lessons which can be used by teachers to introduce these concepts.TUp to 1 class period
Students will practice calculating volume and surface area with individual shapes.
(Teacher will model an example, then let the students practice an example for each of the different shapes)
40 minutes
Day 2
Teacher may use an entrance ticket to check for understanding of yesterday's lessons on calculating volume and surface area.T5 minutes
 Next, students will have work time to practice calculations using the student worksheet linked in Materials above. (This could also be assigned as homework on Day 1) I30 - 40 minutes 
 Day 3  
Teacher will introduce project - creating a 3D model comprised of 3 different shapes. This will be done with Play-doh or in Tinkercad. Students will find the volume and surface area of the composite 3D shape. Students should refer to the 3D Model Volume and Surface Area worksheet above for directions.  WG5 minutes 
 Students will spend the rest of the class period constructing their 3D models and calculating the volume and surface area of their creations I 40 minutes


Summative Assessment - Collect student worksheet and 3D Model worksheet linked above.


Whole group discussion about the project.

Extension Activity (for intervention or enrichment):

  • Students could 3D print their object from Tinkercad and measure the volume and surface area from the object.
  • Students could work in pairs or groups on their 3D object and calculations.
  • Students could pair-share their objects and calculations at the conclusion of Day 3 with another student/group before submitting for assessment to check for accuracy.
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