Common Core: 5th Grade Math : Measurement & Data

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

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Example Questions

Example Question #43 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Calvin is going on a vacation. One of his suitcases has a volume of \(\displaystyle 26\textup { cubic inches}\), and the other has a volume of \(\displaystyle 19\textup{ cubic inches}\). What is the total volume of his two suitcases?

Possible Answers:

\(\displaystyle 41in^3\)

\(\displaystyle 43in^3\)

\(\displaystyle 44in^3\)

\(\displaystyle 45in^3\)

\(\displaystyle 42in^3\)

Correct answer:

\(\displaystyle 45in^3\)

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.

\(\displaystyle \frac{\begin{array}[b]{r}26in^3\\ +\ 19in^3\end{array}}{ \ \ \ \space 45in^3}\)

Example Question #41 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Bill is going on a vacation. One of his suitcases has a volume of \(\displaystyle 27\textup { cubic inches}\), and the other has a volume of \(\displaystyle 27\textup{ cubic inches}\). What is the total volume of his two suitcases?

Possible Answers:

\(\displaystyle 53in^3\)

\(\displaystyle 57in^3\)

\(\displaystyle 54in^3\)

\(\displaystyle 55in^3\)

\(\displaystyle 56in^3\)

Correct answer:

\(\displaystyle 54in^3\)

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.

\(\displaystyle \frac{\begin{array}[b]{r}27in^3\\ +\ 27in^3\end{array}}{ \ \ \ \space 54in^3}\)

Example Question #45 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Sam is going on a vacation. One of his suitcases has a volume of \(\displaystyle 28\textup { cubic inches}\), and the other has a volume of \(\displaystyle 16\textup{ cubic inches}\). What is the total volume of his two suitcases?

 

Possible Answers:

\(\displaystyle 44in^3\)

\(\displaystyle 45in^3\)

\(\displaystyle 43in^3\)

\(\displaystyle 42in^3\)

\(\displaystyle 41in^3\)

Correct answer:

\(\displaystyle 44in^3\)

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.

\(\displaystyle \frac{\begin{array}[b]{r}28in^3\\ +\ 16in^3\end{array}}{ \ \ \ \space 44in^3}\)

Example Question #46 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Stuart is going on a vacation. One of his suitcases has a volume of \(\displaystyle 29\textup { cubic inches}\), and the other has a volume of \(\displaystyle 21\textup{ cubic inches}\). What is the total volume of his two suitcases?

Possible Answers:

\(\displaystyle 49in^3\)

\(\displaystyle 48in^3\)

\(\displaystyle 52in^3\)

\(\displaystyle 51in^3\)

\(\displaystyle 50in^3\)

Correct answer:

\(\displaystyle 50in^3\)

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.

\(\displaystyle \frac{\begin{array}[b]{r}29in^3\\ +\ 21in^3\end{array}}{ \ \ \ \space 50in^3}\)

Example Question #47 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Zach is going on a vacation. One of his suitcases has a volume of \(\displaystyle 21\textup { cubic inches}\), and the other has a volume of \(\displaystyle 24\textup{ cubic inches}\). What is the total volume of his two suitcases?

Possible Answers:

\(\displaystyle 42in^3\)

\(\displaystyle 43in^3\)

\(\displaystyle 44in^3\)

\(\displaystyle 41in^3\)

\(\displaystyle 45in^3\)

Correct answer:

\(\displaystyle 45in^3\)

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.

\(\displaystyle \frac{\begin{array}[b]{r}21in^3\\ +\ 24in^3\end{array}}{ \ \ \ \space 45in^3}\)

Example Question #48 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Brett is going on a vacation. One of his suitcases has a volume of \(\displaystyle 29\textup { cubic inches}\), and the other has a volume of \(\displaystyle 20\textup{ cubic inches}\). What is the total volume of his two suitcases?

Possible Answers:

\(\displaystyle 48in^3\)

\(\displaystyle 46in^3\)

\(\displaystyle 49in^3\)

\(\displaystyle 45in^3\)

\(\displaystyle 47in^3\)

Correct answer:

\(\displaystyle 49in^3\)

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.

\(\displaystyle \frac{\begin{array}[b]{r}29in^3\\ +\ 20in^3\end{array}}{ \ \ \ \space 49in^3}\)

Example Question #49 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Randy is adding an addition to his family room. Before the addition, his family room was \(\displaystyle 30\textup { cubic feet}\). The addition is \(\displaystyle 15\textup { cubic feet}\). After the addition, how big is the family room?

Possible Answers:

\(\displaystyle 47ft^3\)

\(\displaystyle 48ft^3\)

\(\displaystyle 49ft^3\)

\(\displaystyle 46ft^3\)

\(\displaystyle 45ft^3\)

Correct answer:

\(\displaystyle 45ft^3\)

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.

\(\displaystyle \frac{\begin{array}[b]{r}30ft^3\\ +\ 15ft^3\end{array}}{ \ \ \ \space 45ft^3}\)

Example Question #50 : Recognize Volume As Additive: Ccss.Math.Content.5.Md.C.5c

Brad is adding an addition to his family room. Before the addition, his family room was \(\displaystyle 31\textup { cubic feet}\). The addition is \(\displaystyle 17\textup { cubic feet}\). After the addition, how big is the family room?

Possible Answers:

\(\displaystyle 48ft^3\)

\(\displaystyle 45ft^3\)

\(\displaystyle 46ft^3\)

\(\displaystyle 44ft^3\)

\(\displaystyle 47ft^3\)

Correct answer:

\(\displaystyle 48ft^3\)

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.

\(\displaystyle \frac{\begin{array}[b]{r}31ft^3\\ +\ 17ft^3\end{array}}{ \ \ \ \space 48ft^3}\)

Example Question #351 : Measurement & Data

Tom is adding an addition to his family room. Before the addition, his family room was \(\displaystyle 32\textup { cubic feet}\). The addition is \(\displaystyle 20\textup { cubic feet}\). After the addition, how big is the family room?

Possible Answers:

\(\displaystyle 51ft^3\)

\(\displaystyle 52ft^3\)

\(\displaystyle 55ft^3\)

\(\displaystyle 53ft^3\)

\(\displaystyle 54ft^3\)

Correct answer:

\(\displaystyle 52ft^3\)

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.

\(\displaystyle \frac{\begin{array}[b]{r}32ft^3\\ +\ 20ft^3\end{array}}{ \ \ \ \space 52ft^3}\)

Example Question #1851 : Common Core Math: Grade 5

Ethan is adding an addition to his family room. Before the addition, his family room was \(\displaystyle 33\textup { cubic feet}\). The addition is \(\displaystyle 13\textup { cubic feet}\). After the addition, how big is the family room?

Possible Answers:

\(\displaystyle 44ft^3\)

\(\displaystyle 46ft^3\)

\(\displaystyle 47ft^3\)

\(\displaystyle 43ft^3\)

\(\displaystyle 45ft^3\)

Correct answer:

\(\displaystyle 46ft^3\)

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.

\(\displaystyle \frac{\begin{array}[b]{r}33ft^3\\ +\ 13ft^3\end{array}}{ \ \ \ \space 46ft^3}\)

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