Common Core: 5th Grade Math : Common Core Math: Grade 5

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

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Example Questions

Example Question #3 : Pack A Solid Figure With Unit Cubes: Ccss.Math.Content.5.Md.C.3b

If a solid figure has a volume of \(\displaystyle 3\) cubic units, how many unit cubes can be packed into the figure without gaps or overlaps?

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 9\)

\(\displaystyle 6\)

\(\displaystyle 3\)

\(\displaystyle 27\)

Correct answer:

\(\displaystyle 3\)

Explanation:

Volume is the amount of space within a solid figure. If a figure has a volume of \(\displaystyle 3\) cubic units, that means there are \(\displaystyle 3\) unit cubes in the figure. 

Example Question #4 : Pack A Solid Figure With Unit Cubes: Ccss.Math.Content.5.Md.C.3b

If a solid figure has a volume of \(\displaystyle 12\) cubic units, how many unit cubes can be packed into the figure without gaps or overlaps?

Possible Answers:

\(\displaystyle 24\)

\(\displaystyle 12\)

\(\displaystyle 36\)

\(\displaystyle 144\)

\(\displaystyle 48\)

Correct answer:

\(\displaystyle 12\)

Explanation:

Volume is the amount of space within a solid figure. If a figure has a volume of \(\displaystyle 12\) cubic units, that means there are \(\displaystyle 12\) unit cubes in the figure. 

Example Question #5 : Pack A Solid Figure With Unit Cubes: Ccss.Math.Content.5.Md.C.3b

If a solid figure has a volume of \(\displaystyle 4\) cubic units, how many unit cubes can be packed into the figure without gaps or overlaps?

 

Possible Answers:

\(\displaystyle 16\)

\(\displaystyle 32\)

\(\displaystyle 2\)

\(\displaystyle 8\)

\(\displaystyle 4\)

Correct answer:

\(\displaystyle 4\)

Explanation:

Volume is the amount of space within a solid figure. If a figure has a volume of \(\displaystyle 4\) cubic units, that means there are \(\displaystyle 4\) unit cubes in the figure. 

Example Question #6 : Pack A Solid Figure With Unit Cubes: Ccss.Math.Content.5.Md.C.3b

If a solid figure has a volume of \(\displaystyle 11\) cubic units, how many unit cubes can be packed into the figure without gaps or overlaps?

Possible Answers:

\(\displaystyle 44\)

\(\displaystyle 111\)

\(\displaystyle 22\)

\(\displaystyle 11\)

\(\displaystyle 121\)

Correct answer:

\(\displaystyle 11\)

Explanation:

Volume is the amount of space within a solid figure. If a figure has a volume of \(\displaystyle 11\) cubic units, that means there are \(\displaystyle 11\) unit cubes in the figure. 

Example Question #7 : Pack A Solid Figure With Unit Cubes: Ccss.Math.Content.5.Md.C.3b

If a solid figure has a volume of \(\displaystyle 5\) cubic units, how many unit cubes can be packed into the figure without gaps or overlaps?

Possible Answers:

\(\displaystyle 55\)

\(\displaystyle 5\)

\(\displaystyle 50\)

\(\displaystyle 25\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 5\)

Explanation:

Volume is the amount of space within a solid figure. If a figure has a volume of \(\displaystyle 5\) cubic units, that means there are \(\displaystyle 5\) unit cubes in the figure. 

Example Question #8 : Pack A Solid Figure With Unit Cubes: Ccss.Math.Content.5.Md.C.3b

If a solid figure has a volume of \(\displaystyle 10\) cubic units, how many unit cubes can be packed into the figure without gaps or overlaps?

Possible Answers:

\(\displaystyle 1\textup,000\)

\(\displaystyle 1\)

\(\displaystyle 2\)

\(\displaystyle 5\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 10\)

Explanation:

Volume is the amount of space within a solid figure. If a figure has a volume of \(\displaystyle 10\) cubic units, that means there are \(\displaystyle 10\) unit cubes in the figure. 

Example Question #9 : Pack A Solid Figure With Unit Cubes: Ccss.Math.Content.5.Md.C.3b

If a solid figure has a volume of \(\displaystyle 6\) cubic units, how many unit cubes can be packed into the figure without gaps or overlaps?

Possible Answers:

\(\displaystyle 36\)

\(\displaystyle 216\)

\(\displaystyle 122\)

\(\displaystyle 12\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 6\)

Explanation:

Volume is the amount of space within a solid figure. If a figure has a volume of \(\displaystyle 6\) cubic units, that means there are \(\displaystyle 6\) unit cubes in the figure. 

Example Question #1591 : Common Core Math: Grade 5

If a solid figure has a volume of \(\displaystyle 9\) cubic units, how many unit cubes can be packed into the figure without gaps or overlaps?

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle 729\)

\(\displaystyle 18\)

\(\displaystyle 81\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle 9\)

Explanation:

Volume is the amount of space within a solid figure. If a figure has a volume of \(\displaystyle 9\) cubic units, that means there are \(\displaystyle 9\) unit cubes in the figure. 

Example Question #1592 : Common Core Math: Grade 5

If a solid figure has a volume of \(\displaystyle 8\) cubic units, how many unit cubes can be packed into the figure without gaps or overlaps?

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 8\)

\(\displaystyle 16\)

\(\displaystyle 512\)

\(\displaystyle 64\)

Correct answer:

\(\displaystyle 8\)

Explanation:

Volume is the amount of space within a solid figure. If a figure has a volume of \(\displaystyle 8\) cubic units, that means there are \(\displaystyle 8\) unit cubes in the figure. 

Example Question #1593 : Common Core Math: Grade 5

If a solid figure has a volume of \(\displaystyle 7\) cubic units, how many unit cubes can be packed into the figure without gaps or overlaps?

Possible Answers:

\(\displaystyle 7\)

\(\displaystyle 174\)

\(\displaystyle 14\)

\(\displaystyle 49\)

\(\displaystyle 343\)

Correct answer:

\(\displaystyle 7\)

Explanation:

Volume is the amount of space within a solid figure. If a figure has a volume of \(\displaystyle 7\) cubic units, that means there are \(\displaystyle 7\) unit cubes in the figure. 

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