# Constructing Nets

Video and solutions to help grade 6 students learn how to construct nets of three-dimensional objects using the measurements of a solid's edges.

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### New York State Common Core Math Module 5, Grade 6, Lesson 16

Lesson 16 Student Outcomes

Students construct nets of three-dimensional objects using the measurements of a solid's edges.

Lesson 16 Classwork

Opening Exercise
Sketch the faces in the area below. Label the dimensions.

Exercise 1: Rectangular Prisms
a. Use the measurements from the solid figures to cut and arrange the faces into a net.
b. A juice box measures 4 inches high, 3 inches long, and 2 inches wide. Cut and arrange all faces into a net.
c. Challenge Problem: Write a numerical expression for the total area of the net. Explain each term in your expression.

Exercise 2: Triangular Prisms
Use the measurements from the triangular prism to cut and arrange the faces into a net.

Exercise 3: Pyramids
Pyramids are named for the shape of the base.
a. Use the measurements from this square pyramid to cut and arrange the faces into a net. Test your net to be sure it folds into a square pyramid.

b. A triangular pyramid that has equilateral triangles for faces is called a tetrahedron. Use the measurements from this tetrahedron to cut and arrange the faces into a net. Problem Set
1. Sketch and label the net of the following solid figures, and label the edge lengths.
a. A cereal box that measures 13 inches high, 7 inches long, and 2 inches wide
b. A cubic gift box that measures 8 cm on each edge
c. Challenge: Write a numerical expression for the total area of the net in part (b). Tell what each of the terms in your expression means.

2. This tent is shaped like a triangular prism. It has equilateral bases that measure 5 feet on each side. The tent is 8 feet long. Sketch the net of the tent, and label the edge lengths.

3. The base of a table is shaped like a square pyramid. The pyramid has equilateral faces that measure 25 inches on each side. The base is 25 inches long. Sketch the net of the table base, and label the edge lengths.

4. The roof of a shed is in the shape of a triangular prism. It has equilateral bases that measure 3 feet on each side. The length of the roof is 10 feet. Sketch the net of the roof, and label the edge lengths.

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