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Common Core: 5th Grade Math : Measurement & Data

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

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #411 : Measurement & Data

Mason has a pool in his backyard that is $76\textup { cubic feet}$ . He wants to add a baby-pool that is $21\textup { cubic feet}$ . What will be the total volume of his pools?

Possible Answers:

97ft^3

93ft^3

94ft^3

95ft^3

96ft^3

Correct answer:

97ft^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.

$\frac{\begin{array}[b]{r}76ft^3\\ +\ 21ft^3\end{array}}{ \ \ \ \space 97ft^3}$

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Example Question #412 : Measurement & Data

John has a pool in his backyard that is $77\textup { cubic feet}$ . He wants to add a baby-pool that is $23\textup { cubic feet}$ . What will be the total volume of his pools?

Possible Answers:

99ft^3

101ft^3

102ft^3

100ft^3

103ft^3

Correct answer:

100ft^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.

$\frac{\begin{array}[b]{r}77ft^3\\ +\ 23ft^3\end{array}}{ \ \space 100ft^3}$

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Example Question #413 : Measurement & Data

Derek has a pool in his backyard that is $78\textup { cubic feet}$ . He wants to add a baby-pool that is $28\textup { cubic feet}$ . What will be the total volume of his pools?

Possible Answers:

107ft^3

106ft^3

104ft^3

103ft^3

105ft^3

Correct answer:

106ft^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.

$\frac{\begin{array}[b]{r}78ft^3\\ +\ 28ft^3\end{array}}{ \ \ \space 106ft^3}$

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Example Question #414 : Measurement & Data

Avery has a pool in his backyard that is $79\textup { cubic feet}$ . He wants to add a baby-pool that is $23\textup { cubic feet}$ . What will be the total volume of his pools?

Possible Answers:

100ft^3

102ft^3

101ft^3

103ft^3

104ft^3

Correct answer:

102ft^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.

$\frac{\begin{array}[b]{r}79ft^3\\ +\ 23ft^3\end{array}}{ \ \ \space 102ft^3}$

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Example Question #411 : Measurement & Data

Luke has a pool in his backyard that is $73\textup { cubic feet}$ . He wants to add a baby-pool that is $21\textup { cubic feet}$ . What will be the total volume of his pools?

Possible Answers:

94ft^3

96ft^3

93ft^3

92ft^3

95ft^3

Correct answer:

94ft^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.

$\frac{\begin{array}[b]{r}73ft^3\\ +\ 21ft^3\end{array}}{ \ \ \ \space 94ft^3}$

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Example Question #412 : Measurement & Data

Alvin has a pool in his backyard that is $74\textup { cubic feet}$ . He wants to add a baby-pool that is $22\textup { cubic feet}$ . What will be the total volume of his pools?

Possible Answers:

99ft^3

96ft^3

100ft^3

97ft^3

98ft^3

Correct answer:

96ft^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.

$\frac{\begin{array}[b]{r}74ft^3\\ +\ 24ft^3\end{array}}{ \ \ \ \space 96ft^3}$

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Example Question #417 : Measurement & Data

What is the volume of the figure below?

Screen shot 2015 12 22 at 9.45.56 am

Possible Answers:

153in^3

145in^3

48in^3

112in^3

105in^3

Correct answer:

153in^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 9.46.17 am

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

9-5=4

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

Remember, the formula for volume is

$v=l\times w\times h$

$v=5\times3\times7$ and $v=4\times3\times4$

v=105in^3 and v=48in^3

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

$\frac{\begin{array}[b]{r}105in^3\\ +\ 48in^3\end{array}}{ \ \ \space 153in^3}$

*Remember, volume is always measured in cubic units!

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Common Core: 5th Grade Math : Measurement & Data

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #411 : Measurement & Data

Example Question #412 : Measurement & Data

Example Question #413 : Measurement & Data

Example Question #414 : Measurement & Data

Example Question #411 : Measurement & Data

Example Question #412 : Measurement & Data

Example Question #417 : Measurement & Data

All Common Core: 5th Grade Math Resources

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