Nets of 3D shapes

Nets of 3D shapes

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Poll

Name the following shape:

• Rectangular Prism

• Rectangular Pyramid

Poll

Name the following shape:

• Triangular Prism

• Triangular Pyramid

Multiple Choice

Name the following shape:

• Pentagonal Prism

• Pentagonal Pyramid

Discussion - Think, Pair, Share

- What 3D shape could this represent?

- How do you know?

Poll

What 3D shape does this net represent?

• rectangular prism

• triangular prism

• rectangular pyramid

• triangular pyramid

Poll

What 3D shape does this net represent?

• rectangular prism

• triangular prism

• rectangular pyramid

• triangular pyramid

Multiple Choice

Which shape matches the following net?

Let's Review.....

- 3D shapes can unfold into nets

- nets are unfolded 3D shapes

- prisms have 2 bases with rectangular sides

- pyramids have 1 base with triangular sides

Surface Area With Nets

Surface area: the sum of the area of all its faces

Lateral Surface Area: the sum of all lateral faces (no bases)

Multiple Choice

What is surface area?

• Where the base of a triangle and rectangles are put together

• The sum of the area of all of the faces in a 3-Dimmensional figure

• How would I know?!?

• Where you do length x width x height

Surface Area of Nets

• Every face has a twin!

• Top/Bottom: 50 cm²

• Left/Right: 15 cm²

• Front/Back: 30 cm²

Multiple Choice

What is the area of the front/back? (The orange letters)

• 20 cm²

• 12 cm²

• 25 cm²

• 16 cm²

Multiple Choice

What is the area of the left/right? (The green letters)

• 20 cm²

• 25 cm²

• 15 cm²

• 9 cm²

Multiple Choice

What is the area of the top/bottom? (the yellow letters)

• 16 cm²

• 15 cm²

• 12 cm²

• 9 cm²

Fill in the Blank

Now that you have the area of each face, what is the total surface area?

Multiple Choice

What is the area of the front/back? (The orange F/B)

• 128 cm²

• 84 cm²

• 48 cm²

• 96 cm²

Multiple Choice

What is the area of the top/bottom? (The yellow T/B)

• 128 cm²

• 84 cm²

• 48 cm²

• 96 cm²

Multiple Choice

What is the area of the left/right? (The green L/R)

• 128 cm²

• 84 cm²

• 48 cm²

• 96 cm²

Fill in the Blank

What is the total surface area? Add all of the faces together! (remember two of each face!)

Surface Area of Triangular Prisms

• Triangular Prisms: 5 faces

• 3 Rectangles & 2 Triangles

• Triangles have the same area

• At least 2 of the rectangles have the same area

Multiple Choice

What is the area of each triangle?

• 48 cm²

• 24 cm²

• 80 cm²

• 40 cm²

Multiple Select

What is the area of each rectangle?

• 48 cm²

• 170 cm²

• 68 cm²

• 136 cm²

Fill in the Blank

What is the total surface area of the triangular prism? (Add the area of all 3 rectangles & 2 triangles)

Fill in the Blank

What is the total surface area? (Add the area of both triangles & the 3 rectangles)