Area, Volume and Surface Area

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.

​

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​

​

l= length

w= width

h= height

r= radius​

​

​

​

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= $$2\pi r^2+2\pi rh$$  

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= $$\pi r^2h$$