Net Surface Area and Volume in 3D

Surface Area:

a 2-dimensional measure of the outside area of a shape.

Volume is how much milk the milk carton can hold...

Surface area is how much cardboard you need to build the carton.

Drag and Drop

Surface area is an area​ not a ​

Placeholder

. That means it will be in units ​

Placeholder

not units ​

Placeholder

. It is not the amount of ​

Placeholder

the container will hold, but rather how much ​

Placeholder

is needed to build the container.

Drag these tiles and drop them in the correct blank above

volume

squared

cubed

milk

cardboard

Multiple Choice

Which is correct about surface area?

• Filling in a 3 dimensional shape

• wrapping the outside of a 3 dimensional shape

Multiple Choice

What is the best description for surface area?

• The measure of the amount of cubic units inside of a solid figure

• The total square units of the areas of all the faces of a 3D figute

Surface Area of a cube or rectangular Prism:

​When we "unfold" a box it is called a Net.

Unfolding any box shows that there are 6 sides. We will find the area of each side and add them together to get surface area.

​

Multiple Choice

How many FACES does a rectangular prism have?

• 4

• 5

• 6

• 8

Surface Area of a cube or rectangular Prism:

​Notice: every opposite side is the same size... so we have

2 top/bottoms,

2 right/lefts, and

2 front/backs.

That is why they measure one of each, and double them.

Multiple Select

Select ALL the rectangular prisms below

Multiple Choice

Which formula finds the Surface Area of a rectangular prism?

• $$V=lwh$$  

• $$S.A.=2lw+2lh+2wh$$  

Multiple Choice

What is the surface area?

• 600 cm²

• 700 cm²

• 650 cm²

• 900 cm²

Multiple Choice

Find the surface area of the triangular prism.

• 228 in²

• 204 in²

• 304 in²

• 328 in

Multiple Choice

Does this picture show the diameter or radius of a circle?

• Diameter

• Radius

Multiple Choice

Find the Total Surface area of the cylinder. Round to the nearest tenth.

• 62.8m

• 477.3 cm²

• 235.5 cm³

• 942.0 cm²

It is important to recognize which net folds into which shape.

Multiple Choice

What is a net?

• A flattened three-dimensional figure

• A two-dimensional shape

• The formula for volume

• The formula for area

Multiple Choice

The base of a square pyramid is a

• square

• triangle

• hexagon

Multiple Choice

Which net will make a triangular pyramid?

• Net A

• Net B

• Net C

Multiple Choice

What shape is this?

• Triangular Prism

• Triangular pyramid

• Cone

• Triangles

Multiple Choice

What is the Net for this shape?

Multiple Choice

What 3D solid does this net create?

• Triangular Prism

• Triangular Pyramid

• Rectangular Pyramid

• Square Prism

Multiple Choice

This is a net of what shape?

Multiple Choice

Identify the net.

• sphere

• cone

• cylinder

• circle

Multiple Choice

Which net will make a cube?

• Net A

• Net B

Multiple Choice

Which net will make square pyramid?

• Net A

• Net B

Multiple Choice

Which figure will this net make?

• Rectangular Prism 

• Triangular Prism

• Triangular Pyramid 

• Cube

Multiple Choice

Which figure will this net make?

• Rectangular Prism 

• Triangular Prism

• Triangular Pyramid 

• Cube

Multiple Choice

Which figure will this net make?

• Cone

• Triangular Prism

• Square Pyramid 

• Cube

Multiple Choice

Which figure will this net make?

• Triangular Pyramid

• Hexagonal Pyramid

• Octagonal Pyramid 

• Cube

Match

Match the following

Rectangular Prism

Triangular Prism

Triangular Pyramid Net

Square Pyramid Net

Cylinder net

• Rectangular Prism

• Triangular Prism

• Triangular Pyramid Net

• Square Pyramid Net

• Cylinder net

Multiple Choice

Which net will make a triangular pyramid?

• Net A

• Net B

• Net C

Multiple Choice

• Cylinder

• Cube 

• Triangular Prism 

• Cone 

Multiple Choice

What 3D solid does this net create?

• Triangular Prism

• Triangular Pyramid

• Rectangular Pyramid

• Square Prism

Multiple Choice

Which example requires you to find the surface area?

• Finding out how much water will fill a cylinder

• Finding out how much wrapping paper is needed to cover a present

• Finding the amount a container can hold

• Finding out how much wood is needed to build a fence in your back yard.

Multiple Choice

Surface area is the total square units that cover the surface of a 3-D shape.

• True

• False

Multiple Choice

To calculate the amount of cardboard needed to make a cereal box, which of the following should you find: 

• Area

• Perimenter

• Surface Area

• Volume