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Common Core: 5th Grade Math : Recognize Volume as Additive: CCSS.Math.Content.5.MD.C.5c

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Example Question #321 : Measurement & Data

What is the volume of the figure below?

Screen shot 2015 12 22 at 11.23.46 am

Possible Answers:

235in^3

256in^3

135in^3

150in^3

285in^3

Correct answer:

285in^3

Explanation:

If you look closely at this figure, you can see that it is made up of two rectangular prisms. In order to solve for the volume, we need to find the volume of each rectangular prism and then add the volumes together to find the total.

Screen shot 2015 12 22 at 11.24.14 am

In order to find the length of the rectangular prism on the bottom, we had to take the height of the original figure (which was ) and subtract the height of the rectangular prism on the top (which is )

12-3=9

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=10\times5\times3$ and $v=3\times5\times9$

v=150in^3 and v=135in^3

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}150in^3\\ +\ 135in^3\end{array}}{ \ \ \ \space 285in^3}$

*Remember, volume is always measured in cubic units!

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Example Question #22 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below?

Screen shot 2015 12 22 at 11.25.07 am

Possible Answers:

240 in^3

240in^2

130in^3

130in^2

110in^3

Correct answer:

240 in^3

Explanation:

Screen shot 2015 12 22 at 11.24.53 am

15-2=13

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=11\times5\times2$ and $v=2\times5\times13$

v=110in^3 and v=130in^3

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}110in^3\\ +\ 130in^3\end{array}}{ \ \ \ \space 240in^3}$

*Remember, volume is always measured in cubic units!

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Example Question #23 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below?

Screen shot 2015 12 22 at 11.25.38 am

Possible Answers:

436in^3

396in^3

512in^2

424in^2

384 in^3

Correct answer:

384 in^3

Explanation:

Screen shot 2015 12 22 at 11.25.56 am

15-4=11

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=13\times4\times4$ and $v=4\times4\times11$

v=208in^3 and v=176in^3

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}208in^3\\ +\ 176in^3\end{array}}{ \ \ \ \space 384in^3}$

*Remember, volume is always measured in cubic units!

Report an Error

Example Question #24 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

What is the volume of the figure below?

Screen shot 2015 12 22 at 11.27.25 am

Possible Answers:

784in^3

986in^3

840in^3

$1\textup,624in^3$

$1\textup,246in^3$

Correct answer:

$1\textup,624in^3$

Explanation:

Screen shot 2015 12 22 at 11.27.05 am

21-7=14

Now that we have the dimensions of both our rectangular prisms, we can solve for the volumes.

Remember, the formula for volume is

$v=l\times w\times h$

$v=15\times8\times7$ and $v=7\times8\times14$

v=840in^3 and v=784in^3

Next, we add the volumes together to solve for the total volume of the original figure.

$\frac{\begin{array}[b]{r}840in^3\\ +\ 784in^3\end{array}}{ \ \space 1\textup,624in^3}$

*Remember, volume is always measured in cubic units!

Report an Error

Example Question #25 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Erica is going on a vacation. One of her suitcases has a volume of $13\textup { cubic feet}$ , and the other has a volume of $12\textup{ cubic feet}$ . What is the total volume of Erica's two suitcases?

Possible Answers:

25ft^3

27ft^3

26ft^3

29ft^3

28ft^3

Correct answer:

25ft^3

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

$\frac{\begin{array}[b]{r}13ft^3\\ +\ 12ft^3\end{array}}{ \ \ \ \space 25ft^3}$

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Example Question #26 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Christine is going on a vacation. One of her suitcases has a volume of $17\textup { cubic feet}$ , and the other has a volume of $2\textup{ cubic feet}$ . What is the total volume of her two suitcases?

Possible Answers:

17ft^3

15ft^3

16ft^3

18ft^3

19ft^3

Correct answer:

19ft^3

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

$\frac{\begin{array}[b]{r}17ft^3\\ +\ 2ft^3\end{array}}{ \ \ \ \space 19ft^3}$

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Example Question #331 : Measurement & Data

Erin is going on a vacation. One of her suitcases has a volume of $14\textup { cubic feet}$ , and the other has a volume of $20\textup{ cubic feet}$ . What is the total volume of her two suitcases?

Possible Answers:

34ft^3

33ft^3

32ft^3

31ft^3

35ft^3

Correct answer:

34ft^3

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

$\frac{\begin{array}[b]{r}20ft^3\\ +\ 14ft^3\end{array}}{ \ \ \ \space 34ft^3}$

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Example Question #28 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Tory is going on a vacation. One of her suitcases has a volume of $3\textup { cubic feet}$ , and the other has a volume of $5\textup{ cubic feet}$ . What is the total volume of her two suitcases?

Possible Answers:

9ft^3

7ft^3

11ft^3

10ft^3

8ft^3

Correct answer:

8ft^3

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

$\frac{\begin{array}[b]{r}3ft^3\\ +\ 5ft^3\end{array}}{ \ \ \ \space 8ft^3}$

Report an Error

Example Question #29 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Hannah is going on a vacation. One of her suitcases has a volume of $14\textup { cubic feet}$ , and the other has a volume of $12\textup{ cubic feet}$ . What is the total volume of her two suitcases?

Possible Answers:

28ft^3

25ft^3

27ft^3

26ft^3

24ft^3

Correct answer:

26ft^3

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

$\frac{\begin{array}[b]{r}14ft^3\\ +\ 12ft^3\end{array}}{ \ \ \ \space 26ft^3}$

Report an Error

Example Question #331 : Measurement & Data

Michelle is going on a vacation. One of her suitcases has a volume of $19\textup { cubic feet}$ , and the other has a volume of $7\textup{ cubic feet}$ . What is the total volume of her two suitcases?

Possible Answers:

27ft^3

30ft^3

28ft^3

29ft^3

26ft^3

Correct answer:

26ft^3

Explanation:

To solve this problem we simply need to remember that volume is additive. This means that we can add our two volumes together to find the combined, total volume.

$\frac{\begin{array}[b]{r}19ft^3\\ +\ 7ft^3\end{array}}{ \ \ \ \space 26ft^3}$

Report an Error

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Common Core: 5th Grade Math : Recognize Volume as Additive: CCSS.Math.Content.5.MD.C.5c

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #321 : Measurement & Data

Example Question #22 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Example Question #23 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Example Question #24 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Example Question #25 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Example Question #26 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Example Question #331 : Measurement & Data

Example Question #28 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Example Question #29 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Example Question #331 : Measurement & Data

All Common Core: 5th Grade Math Resources

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