Surface Area and Nets of 3D Shapes

Nets and Surface Area

MGSE6.G.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 techniques in the context of solving real-world and mathematical problems.

​BTEOC - Students will be able to use area of 2D shapes to find the surface area of a 3D object.

Objective

• Recognize that surfaces of some three-dimensional (3-D) shapes ate composed of two-dimensional (2-D) faces or polygons

• Use a net to represent a 3-D figure (polyhedron)

• Use a net to dins the surface area of a polyhedron made up of rectangles and triangles

Open Ended

Vocabulary

• Base: the face of a geometric figure from which the height can be measured

• net: a flat "unfolded" representation of a prism or pyramid

• surface area: the sum of all areas of the faces of a figure

• triangular pyramid: a 3-D figure that has two parallel triangular faces that are the same size and shape

• pyramid: a 3-D figure whose base is a polygon and whose other faces are triangles.

First Let's Review

What do we remember about area?

Multiple Choice

Area is...

• the same inside of an object

• the space around an object

Multiple Select

What is the formula for the area of a triangle? select all that apply

• $$A=\frac{bh}{2}$$  

• $$A=bh$$  

• $$A=\frac{1}{2}bh$$  

• $$A=\frac{b}{h}$$   

Fill in the Blank

Find the area. Write the number only.

Multiple Choice

Which number is NOT needed to solve the problem?

• 10 in

• 8 in

• 1 ft

• all numbers are needed

Multiple Choice

What is the name of the 3D figure?

• Triangular Pyramid

• Rectangular Prism

• Triangular Prism

• Rectangular Pyramid

Multiple Choice

Which of the following is a pyramid?

Multiple Choice

What do you call the flat surface of a 3-Dimensional figure?

• Pyramid

• Prism

• Net

• Area

Different 3-D shapes and their nets

​

Multiple Choice

True or False. To find the Total Surface Area, you find the area of each shape, including the base(s), and combine them.

• True

• False

Fill in the Blank

What is the Total Surface Area? _____ $$ft^2.$$

Fill in the Blank

What is the total surface area of the square pyramid in square inches? _____ $$in\ ^2.$$

Fill in the Blank

What is the lateral surface area of the figure? _____ $$cm^2.$$

Poll

• 4

• 3

• 2

• 1