Surface Area or Volume?

Surface Area and Volume of prisms and cylinders

Surface area is the total area of the surface/outside of a three-dimensional figure. Surface area is the sum of the area of the faces.

Key words: ​

• cover

• outside

• wrap

• square units

Volume is the amount of space inside a three dimensional figure.

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Key words: ​

• inside

• capacity

• liquid

• fill

• hold

• cubic units

Multiple Choice

Alexis has a wooden box that is shaped like a rectangular prism. He is going to paint the box. Which formula will he need to use to find out how much paint to buy?

• Volume

• Surface area

Multiple Choice

Alex has two boxes. He wants to put the contents of the two boxes into a larger box. What will he need to know to make sure his larger box is big enough to hold the contents of both boxes?

• Surface area

• Volume

Multiple Choice

The trailer on the back of the truck below is in the shape of a rectangular prism. George needs to know how much the trailer will hold for shipping. Which does he need to know?

• Surface area

• Volume

Multiple Select

Identify each situation that would require the application of surface area.

• Painting the outside of a shoebox

• Filling the shoebox with candy

• Counting the number of cubes inside of a shoebox.

• Wrapping the shoebox in gift wrap

Multiple Choice

If you wanted to know how much metal is needed to make a can you would be finding the ______

• Surface Area

• Volume

Multiple Select

Identify each situation that would require the application of volume

• Determining the amount of water in a water bottle.

• Determining the number of pencils that could fit into a rectangular box.

• Determining the amount of wrapping paper needed to wrap a box.

• Determining the amount of paint needed to paint the outside of a cylinder.

Multiple Choice

If you wanted to know how much treasure is in the chest you would be finding the ________________

• volume

• surface area

Multiple Choice

Sammy needs to cover the box with wrapping paper. Which does he need to know before wrapping the box?

• Surface area

• Volume

What does it mean?

V = Volume

S.A. = Surface Area​

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l= length

w= width

h= height

r= radius​

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Multiple Choice

Tommy built a wooden box. Assuming the box is hollow, how much wood did it take to build this figure?

What shape is Tommy's box?

• Rectangular Prism

• Cylinder

Multiple Choice

Tommy built a wooden box. Assuming the box is hollow, how much wood did it take to build this figure?

What shape is Tommy's box?

• cylinder

• Rectangular Prism

Multiple Choice

Tommy built a wooden box. Assuming the box is hollow, how much wood did it take to build this figure?

What is the situation calling for?

• Surface Area

• Volume

Multiple Choice

Tommy built a wooden box. Assuming the box is hollow, how much wood did it take to build this figure?

What formula will you use?

• SA = 2lw+2lh+2wh

• SA= $$2\pi r^2+2\pi rh$$  

Fill in the Blanks

Tommy built a wooden box. Assuming the box is hollow, how much wood did it take to build this figure?

Use your calculator and plug in your information

Answer the question.

Multiple Choice

Natasha bought a gallon of paint in a cylindrical can. The

can is 18 inches tall and has a radius of 6 inches. How much

paint does it hold? Round your answer to the nearest tenth.

What shape is the paint can?

• Cylinder

• Rectangular prims

• Triangular prism

Multiple Choice

Natasha bought a gallon of paint in a cylindrical can. The

can is 18 inches tall and has a radius of 6 inches. How much

paint does it hold? Round your answer to the nearest tenth.

Does the situation call for finding SA or V?

• Surface Area

• Volume

Multiple Choice

Natasha bought a gallon of paint in a cylindrical can. The

can is 18 inches tall and has a radius of 6 inches. How much

paint does it hold? Round your answer to the nearest tenth.

What formula do you use?

• V= lwh

• V= $$\pi r^2h$$  

Fill in the Blanks

Natasha bought a gallon of paint in a cylindrical can. The

can is 18 inches tall and has a radius of 6 inches. How much

paint does it hold? Round your answer to the nearest tenth.

Use your calculator and plug in your information

Answer the question. Round to the nearest tenth.