A Box in a Box in a Box

Students estimate, measure, and calculate the surface area and volume of a box in a box in a box in this lesson. This is a hands on approach in order to actually visualize the true vision of surface area and volume.

Standards & Objectives

Academic standards
CCSS.Math.Content.6.G.A.2
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge...
CCSS.Math.Content.6.G.A.4
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures....
GLE 0606.1.3
Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas.
GLE 0606.4.3
Develop and use formulas to determine the circumference and area of circles, and the area of trapezoids, and develop strategies to find the area of composite shapes.
GLE 0606.4.4
Develop and use formulas for surface area and volume of 3-dimensional figures.
SPI 0606.4.4
Calculate with circumferences and areas of circles.
SPI 0606.4.5
Determine the surface area and volume of prisms, pyramids and cylinders.
SPI 0606.4.6
Given the volume of a cone/pyramid, find the volume of the related cylinder/prism or vice versa.
TSS.Math.6.G.A.2
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and...
TSS.Math.6.G.A.4
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these...
 
Alignment of this item to academic standards is based on recommendations from content creators, resource curators, and visitors to this website. It is the responsibility of each educator to verify that the materials are appropriate for your content area, aligned to current academic standards, and will be beneficial to your specific students.
 
Learning objectives: 

Learning Objectives:

  • The student will be able to identify the surface area of all given objects after reviewing formulas as a class.
  • The student will be able to follow the steps and directions during the activity without teacher’s assistance.
  • The student will be able to estimate and measure the lengths of each side of each box.

Lesson Variations

Blooms taxonomy level: 
Understanding

Helpful Hints

List of Materials:

  • 12 boxes (4 small that fit into 4 medium that fit into 4 large boxes)
  • wrapping paper assortment
  • 4-8 rulers
  • 23 worksheets
  • 21 pencils
  • 1 big trash bag
  • tape
  • a marker
  • bag of candy (optional)

References

Contributors: