3D Volume and Surface Area

7th grade Math: the test that shall not be named day 9 LAST DAY

Volume and Surface Area

Learning Targets:

TEKS 7.9A I can calculate volume of prisms

TEKS 7.9D I can calculate surface area

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3-D Shapes

An Introduction to Surface Area. (A copy of this document is available for you in the HUB)

Parts of a 3D figure

• Faces: flat sides

• Edges: lines in between 2 faces

• Vertices: corners or points where edges connect

Prisms:

• TWO parallel bases

• Rectangular faces

• Names come from the bases

• Example: The triangular prism has two triangle bases

Volume

Prisms and Pyramids

Multiple Choice

Name the following shape:

• Rectangular Prism

• Rectangular Pyramid

Poll

What 3D shape does this net represent?

• rectangular prism

• triangular prism

• rectangular pyramid

• triangular pyramid

Multiple Choice

^{what is this}

• seal

• panda

• puppy

• polar bear

Multiple Choice

Name the following shape:

• Triangular Prism

• Triangular Pyramid

Rectangular PRISMS

• V = Bh

• B is the AREA of the BASE

• Rectangle Area = bh

• B = 2x5

• V= (2x5) x 4

Multiple Choice

What is the volume of this prism?

• 18 cubic cm

• 6 cubic cm

• 9 cubic cm

Multiple Choice

What is the volume of this prism?

• 6 cubic in

• 12 cubic in

• 24 cubic in

Fill in the Blank

What is the volume of the pink cube? Remember to use the correct units.

Multiple Choice

WHO is this you tuber

• pewdiepie

• breakfast

• fre sha va ca do

• asian

Triangular PRISMS

• V = Bh

• B is the AREA of the BASE

• Triangle Area = 1/2bh

• B = (5x3)/2 = 7.5

• V= 7.5x10

Multiple Choice

Find the volume.

• 135

• 270

• 405

• 108

Pyramids:

• 1 base

• Triangular faces

• Names come from the bases

• Example: The square pyramid has one square base

Multiple Choice

What goes up but never comes down?

• A rocket

• A flight of stairs

• Your height

• Your age

Steps to solving Volume of Pyramid

1. Formula for pyramid or prism

2. Shape of base

3. Area formula for shape of base

4. Plug in numbers

5. Solve

Multiple Choice

What is the shape of the base?

• Rectangle

• Triangle

• Circle

• Trapezoid

Multiple Choice

Solve for the volume of the rectangular pyramid

• 360 ft^3

• 1080 ft^3

• 180 ft^

• 216 ft^3

Multiple Choice

what is the name of this online famous cat

• Whiskers

• Chubby

• Fluffy

• Grumpy cat

Multiple Choice

What was the volume of the triangular prism?

• 11.25 ft²

• 11.25 ft³

• 22.5 ft²

• 22.5 ft³

Nets

• Nets are the unfolded version of a 3d figure.

• A net shows you all the different faces and base(s)

• We can use nets to help us calculate surface area

Multiple Choice

Who is this character

• Mr.crabb

• Patrick

• Patrick

• Spongebob

Poll

What 3D shape does this net represent?

• rectangular prism

• triangular prism

• rectangular pyramid

• triangular pyramid

Multiple Choice

Which shape matches the following net?

How do I find the Surface Area (SA) of my pizza box?

• SA = 2lw + 2lh + 2wh

• SA = 2 (lw + lh + wh)

• Surface Area is labeled with square units (u²)

Multiple Choice

What is surface area?

• Inside of the object

• The sum of all the areas of all the shapes that cover the surface of the object.

• Something Ms. Sharafeldin made up.

• Surface area is what you get when you boil unicorn tears 

Multiple Choice

Find the Surface Area

• 556 cm²

• 278 cm²

• 680 cm²

• 340 cm²

Fill in the Blank

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

Multiple Choice

Whose logo is this?

• AntMan

• Dare Devil

• Flash

• Shazam

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? _____ $$cm^2.$$

Multiple Choice

What movie says "Hakuna Matata"?

• Lilo and Stitch

• Toy Story

• The Jungle Book

• The Lion King

Fill in the Blank

What is the lateral surface area? _____ $$in^2.$$

Fill in the Blank

What is the total surface area? _____ $$cm^2.$$

Multiple Choice

What letter does this animal begin with? 

• B

• C

• M

• D

Poll

THANK YOU FOR A GREAT 9 DAYS OF THE TEST THAT SHALL NOT BE NAMED

CODE PHRASE

LAST DAY

• I will miss you

• Thank goodness its over

• Now I can go back to sleep

• Why are we clicking this