Distinguishing Between Volume and Surface Area

Here is a figure built from snap cubes. True or false: If we double the number of cubes being stacked, both the volume and surface area will double. Explain or show how you know.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Lin said, “Two figures with the same volume also have the same surface area.” Which two figures suggest that her statement is true?

• A

• B

• C

• D

• E

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Lin said, “Two figures with the same volume also have the same surface area.” Which two figures could show that her statement is not true?

• A

• B

• C

• D

• E

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Here is a figure built from snap cubes. Find the surface area of the figure in square units.

Tags

CCSS.6.G.A.4

When finding Surface Area, what are you solving for?

• Tells us the capacity of the figure.  It is a measure of how much a figure can hold and is measured in cubic units.

• The area of such an outer part or uppermost layer.

True or false: If we double the number of cubes being stacked, both the volume and surface area will double.

• True

• False

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Lin said, “Two figures with the same volume also have the same surface area.” Which two figures suggest that her statement is true?

• A

• B

• C

• D

• E

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Lin said, “Two figures with the same volume also have the same surface area.” Which two figures could show that her statement is not true?

• A

• B

• C

• D

• E

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Find the volume of the figure in cubic units.

Tags

CCSS.5.MD.C.5C

What is the volume?

• 14 ft ²

• 54 ft²

• 54 ft³

• 102 ft³

Tags

CCSS.7.G.B.6