Surface Area and Volume of a Cylinder

Surface Area or Volume Review and Practical Problems

Multiple Choice

Three different views of a three-dimensional figure constructed by cubes is shown. Which figure could be represented by these views?

Multiple Choice

A figure has the bottom and left-side views shown, and its front view shaded. Which represents the figure?

Multiple Choice

Which is the top view of the solid?

Multiple Choice

The top, front, and side views of a solid figure are shown below. Which solid figure is best represented by these views?

Multiple Choice

The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?

• 24,280 cubic feet
• 16,430 cubic feet
• 11,720 cubic feet
• 4,480 cubic feet

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 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= $$\pi r^2h$$  

Multiple Choice

If you wanted to know how many cheerios could fit inside of the box you would be finding the _______

• volume

• surface area

Multiple Choice

If you wanted to know how many cubic inches of tissue this box could hold you would be finding the __________ of the box.

• volume

• surface area

• perimeter

• distance

Multiple Choice

When trying to answer the question below, would it be more helpful to think about the surface area or the volume?

How much glass is needed to build a greenhouse?

• surface area

• volume

Multiple Choice

A rectangular brick has a length of 5 centimeters, a width of  9 centimeters and a height of 20 centimeters. What is the surface area of that brick? 

• 650 cm²

• 600 cm²

• 525 cm²

• 450 cm²

Multiple Choice

Which formula can be used to find the volume of a rectangular prism?

• length x width

• length x width x height

• height x length

• length + width + height

Multiple Choice

Which label would NOT be appropriate for volume.

• square miles

• inches³

• cm³

• cubic feet

Multiple Choice

 Find the volume of the Cylinder

• 7230

• 6621

• 1130

• 907

Multiple Choice

Find the Volume of the Cylinder

• 1178 ft³

• 4712 ft³

• 7069 ft³

• 3534 ft³

Multiple Choice

Find the surface area

• 60.4 m²

• 188.49 m²

• 94.24 m²

• 881.94 m²

Multiple Choice

You are putting in a pool at your house in the shape of a rectangular prism.  The length is 40 ft, the width is 20 ft and the 3-D height is 12 ft.  How much water will be in the pool?

• 8640 cubic feet

• 8400 cubic feet

• 8000 cubic feet

• 9600 cubic feet

Multiple Choice

You want to figure out how cherry coke is inside a can of Coca-Cola.  The radius is 2 inches and the 3-D height is 6 inches.  How much cherry coke fits inside the can?

• 68.56 cubic inches

• 75.36 cubic inches

• 83.76 cubic inches

• 94.7 cubic inches

Multiple Choice

We want to fill up the cylinder pictured with water.  How many inches cubed of water will fit inside it?

• 78500 inches cubed

• 80000 inches cubed

• 84500 inches cubed

• 89000 inches cubed

Multiple Choice

You want to wrap the box in the image.  How much wrapping paper would you need?

• 415 squared cm

• 489 squared cm

• 302 squared cm

• 612 squared cm

Multiple Choice

David and Vanesa built a recycling bin that is 6 feet wide, 12 feet long, and 14 feet high. How much trash can fit inside of the bin?

• 32 cubic ft

• 648 cubic ft

• 1008 cubic ft

• 61214 cubic ft

Multiple Choice

Tyrie’k is wrapping a box that is 5 inches long, 14 inches wide, and 3 inches tall with birthday wrapping paper. How much wrapping paper will he need to cover the box?

• 254 square inches

• 21 square inches

• 5143 square inches

• 210 square inches

Multiple Choice

Dwayne is building a sand box that is 6 feet wide, 3 feet long, and 15 inches high. How many cubic feet of sand will the box hold?

Which formula should you use to solve this problem?

• Surface Area of a Rectangular Prism

• Volume of a Rectangular Prism

• Surface Area of a Cylinder

• Volume of a Cylinder

Multiple Choice

Dwayne is building a sand box that is 6 feet wide, 3 feet long, and 15 inches high. How many cubic feet of sand will the box hold?

• 6315 cubic ft

• 270 cubic ft

• 306 cubic ft

• 24 cubic ft

Multiple Choice

Donnie is building a rectangular planter without a top. The planter will be 7 inches wide, 16 inches long, and 10 inches high. How much wood is needed to make the bottom and sides of the planter?

Which formula should you use to solve this problem?

• Surface Area of a Rectangular Prism

• Volume of a Rectangular Prism

• Surface Area of a Cylinder

• Volume of a Cylinder

Multiple Choice

Given a prism with length = 10 m, width = 5 m and height = 2 m, and the height is doubled to 4 m, which of the following is true about its volume?

• The new volume is 3 times the old.

• The new volume is 1/2 the old.

• The new volume is 2 times the old.

• The new volume is 4 times the old.

Multiple Choice

What is the Volume of the Square Pyramid?

• 718.67 cm³

• 2874.66 cm³

• 2258.67 cm³

• 1437.33 cm³

Multiple Choice

Find the surface area of a cone.

• 857.18 km²

• 1714.36 km²

• 1285.77 km²

• 428.59 km²

Multiple Select

Select ALL the rectangular prisms below

Multiple Choice

What is the difference in volume, in cm³, between M and N?

• 47

• 53

• 144

• 197

Multiple Choice

A box held 30 cubic inches of space inside. If the length was 5 inches and the width measured 3 inches, what was the box's height?

• 2 inches

• 3 inches

• 5 inches

• 1 inch

Multiple Choice

A construction company is going to fill

a sinkhole with soil. How much soil is

needed?

• $$1889\ ft^3$$

• $$47.12\ ft^3$$

• $$150.79\ ft^3$$

• $$37.69\ ft^3$$

Multiple Choice

Mark is going to plant herbs in a rectangular flower box. If the length is 14 feet, the width is 5 feet and the height is 4 feet, how many cubic feet of soil does he need to fill the planter half-full?

• 280 ft³

• 140 ft²

• 140 ft³

• 280 ft²

Multiple Choice

Which cylinder will hold more liquid?

• Cylinder A

• Cylinder B

• They hold the same amount

Multiple Choice

LaShaun is in charge of designing a cereal box for a new company. The box will be 17.5 inches in height, 9 inches in length, and 3.5 inches in width. How much material will be needed to make one box?

• 551.25 inches³

• 250.25 inches²

• 500.5 inches²

• 551.25 inches²

Multiple Choice

Find the volume and surface area of the pyramid.

• $$254\ in^{3\ }$$ and $$259\ in^2$$

• $$259\ in^{3\ }$$ and $$254\ in^{2\ }$$

• $$259\ in^2$$ and $$245\ in^{3\ }$$

• $$259\ in^{3\ }$$ and $$245\ in^{2\ }$$

Multiple Choice

The volume of a rectangular prism is 250 m³. If the height is multiplied by a scale factor of 1/2, what is the new volume?

• 250 m³

• 500 m³

• 125 m³

• 75 m³

Multiple Choice

Carl's rectangular swimming pool has a volume of 600 cubic feet. The neighbor's pool has the same length and height, but the width is three times larger. What is the volume of the neighbor's pool?

• 1200 cubic feet

• 1800 cubic feet

• 200 cubic feet

• 900 cubic feet

Multiple Choice

Kyiel has a rectangular prism that has the same dimensions as the one shown except for the height 4 times as tall. What is true about the volume of Kyiel's rectangular prism?

• Her prism's volume is 4 cubic centimeters less than the volume of the prism above.

• Her prism's volume is 4 cubic centimeters more than the volume of the prism above.

• Her prism's volume is 4 times the volume of the prism above.

• Her prisms volume is 1441​ the volume of the prism above.