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Common Core: 6th Grade Math : Geometry

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1280 : Grade 6

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$53.5\textup{ cm}^3$ $\displaystyle 53.5\textup{ cm}^3$

$45\textup{ cm}^3$ $\displaystyle 45\textup{ cm}^3$

$49\textup{ cm}^3$ $\displaystyle 49\textup{ cm}^3$

$51.25\textup{ cm}^3$ $\displaystyle 51.25\textup{ cm}^3$

$47.25\textup{ cm}^3$ $\displaystyle 47.25\textup{ cm}^3$

Correct answer:

$47.25\textup{ cm}^3$ $\displaystyle 47.25\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=5\frac{1}{4}\times3\times3$ $\displaystyle A=5\frac{1}{4}\times3\times3$

$A=47.25\textup{ cm}^3$ $\displaystyle A=47.25\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

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Example Question #111 : Geometry

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$63\textup{ cm}^3$ $\displaystyle 63\textup{ cm}^3$

$61\textup{ cm}^3$ $\displaystyle 61\textup{ cm}^3$

$64.5\textup{ cm}^3$ $\displaystyle 64.5\textup{ cm}^3$

$69.5\textup{ cm}^3$ $\displaystyle 69.5\textup{ cm}^3$

$66\textup{ cm}^3$ $\displaystyle 66\textup{ cm}^3$

Correct answer:

$63\textup{ cm}^3$ $\displaystyle 63\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=5\frac{1}{4}\times3\times4$ $\displaystyle A=5\frac{1}{4}\times3\times4$

$A=63\textup{ cm}^3$ $\displaystyle A=63\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #112 : Geometry

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$80\textup{ cm}^3$ $\displaystyle 80\textup{ cm}^3$

$75.25\textup{ cm}^3$ $\displaystyle 75.25\textup{ cm}^3$

$78.75\textup{ cm}^3$ $\displaystyle 78.75\textup{ cm}^3$

$79.5\textup{ cm}^3$ $\displaystyle 79.5\textup{ cm}^3$

$82.25\textup{ cm}^3$ $\displaystyle 82.25\textup{ cm}^3$

Correct answer:

$78.75\textup{ cm}^3$ $\displaystyle 78.75\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=5\frac{1}{4}\times3\times5$ $\displaystyle A=5\frac{1}{4}\times3\times5$

$A=78.75\textup{ cm}^3$ $\displaystyle A=78.75\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #113 : Geometry

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$96.75\textup{ cm}^3$ $\displaystyle 96.75\textup{ cm}^3$

$92.5\textup{ cm}^3$ $\displaystyle 92.5\textup{ cm}^3$

$98.25\textup{ cm}^3$ $\displaystyle 98.25\textup{ cm}^3$

$94.5\textup{ cm}^3$ $\displaystyle 94.5\textup{ cm}^3$

$100\textup{ cm}^3$ $\displaystyle 100\textup{ cm}^3$

Correct answer:

$94.5\textup{ cm}^3$ $\displaystyle 94.5\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=5\frac{1}{4}\times3\times6$ $\displaystyle A=5\frac{1}{4}\times3\times6$

$A=94.5\textup{ cm}^3$ $\displaystyle A=94.5\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #114 : Geometry

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$110.25\textup{ cm}^3$ $\displaystyle 110.25\textup{ cm}^3$

$118.5\textup{ cm}^3$ $\displaystyle 118.5\textup{ cm}^3$

$120.75\textup{ cm}^3$ $\displaystyle 120.75\textup{ cm}^3$

$115.75\textup{ cm}^3$ $\displaystyle 115.75\textup{ cm}^3$

$105.5\textup{ cm}^3$ $\displaystyle 105.5\textup{ cm}^3$

Correct answer:

$110.25\textup{ cm}^3$ $\displaystyle 110.25\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=5\frac{1}{4}\times3\times7$ $\displaystyle A=5\frac{1}{4}\times3\times7$

$A=110.25\textup{ cm}^3$ $\displaystyle A=110.25\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #115 : Geometry

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$47.5\textup{ cm}^3$ $\displaystyle 47.5\textup{ cm}^3$

$43.5\textup{ cm}^3$ $\displaystyle 43.5\textup{ cm}^3$

$45.5\textup{ cm}^3$ $\displaystyle 45.5\textup{ cm}^3$

$40\textup{ cm}^3$ $\displaystyle 40\textup{ cm}^3$

$44.25\textup{ cm}^3$ $\displaystyle 44.25\textup{ cm}^3$

Correct answer:

$45.5\textup{ cm}^3$ $\displaystyle 45.5\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=3\frac{1}{4}\times2\times7$ $\displaystyle A=3\frac{1}{4}\times2\times7$

$A=45.5\textup{ cm}^3$ $\displaystyle A=45.5\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #116 : Geometry

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$39\textup{ cm}^3$ $\displaystyle 39\textup{ cm}^3$

$36\textup{ cm}^3$ $\displaystyle 36\textup{ cm}^3$

$40.5\textup{ cm}^3$ $\displaystyle 40.5\textup{ cm}^3$

$35.75\textup{ cm}^3$ $\displaystyle 35.75\textup{ cm}^3$

$38.25\textup{ cm}^3$ $\displaystyle 38.25\textup{ cm}^3$

Correct answer:

$39\textup{ cm}^3$ $\displaystyle 39\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=3\frac{1}{4}\times2\times6$ $\displaystyle A=3\frac{1}{4}\times2\times6$

$A=39\textup{ cm}^3$ $\displaystyle A=39\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #117 : Geometry

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$54\textup{ cm}^3$ $\displaystyle 54\textup{ cm}^3$

$55.25\textup{ cm}^3$ $\displaystyle 55.25\textup{ cm}^3$

$56\textup{ cm}^3$ $\displaystyle 56\textup{ cm}^3$

$60\textup{ cm}^3$ $\displaystyle 60\textup{ cm}^3$

$58.5\textup{ cm}^3$ $\displaystyle 58.5\textup{ cm}^3$

Correct answer:

$58.5\textup{ cm}^3$ $\displaystyle 58.5\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=3\frac{1}{4}\times2\times9$ $\displaystyle A=3\frac{1}{4}\times2\times9$

$A=58.5\textup{ cm}^3$ $\displaystyle A=58.5\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #118 : Geometry

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$33.25\textup{ cm}^3$ $\displaystyle 33.25\textup{ cm}^3$

$31.5\textup{ cm}^3$ $\displaystyle 31.5\textup{ cm}^3$

$32.5\textup{ cm}^3$ $\displaystyle 32.5\textup{ cm}^3$

$30.75\textup{ cm}^3$ $\displaystyle 30.75\textup{ cm}^3$

$31.25\textup{ cm}^3$ $\displaystyle 31.25\textup{ cm}^3$

Correct answer:

$32.5\textup{ cm}^3$ $\displaystyle 32.5\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=3\frac{1}{4}\times2\times5$ $\displaystyle A=3\frac{1}{4}\times2\times5$

$A=32.5\textup{ cm}^3$ $\displaystyle A=32.5\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

Example Question #119 : Geometry

What is the volume of the rectangular prism in the following figure?

Possible Answers:

$49.25\textup{ cm}^3$ $\displaystyle 49.25\textup{ cm}^3$

$53\textup{ cm}^3$ $\displaystyle 53\textup{ cm}^3$

$50.5\textup{ cm}^3$ $\displaystyle 50.5\textup{ cm}^3$

$48.75\textup{ cm}^3$ $\displaystyle 48.75\textup{ cm}^3$

$52\textup{ cm}^3$ $\displaystyle 52\textup{ cm}^3$

Correct answer:

$52\textup{ cm}^3$ $\displaystyle 52\textup{ cm}^3$

Explanation:

The formula used to find volume of a rectangular prism is as follows:

$A=l\times w\times h$ $\displaystyle A=l\times w\times h$

Substitute our side lengths:

$A=3\frac{1}{4}\times2\times8$ $\displaystyle A=3\frac{1}{4}\times2\times8$

$A=52\textup{ cm}^3$ $\displaystyle A=52\textup{ cm}^3$

Remember, volume is always written with cubic units because volume is how many cubic units can fit inside of a figure.

Report an Error

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All Common Core: 6th Grade Math Resources

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Common Core: 6th Grade Math : Geometry

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #1280 : Grade 6

Example Question #111 : Geometry

Example Question #112 : Geometry

Example Question #113 : Geometry

Example Question #114 : Geometry

Example Question #115 : Geometry

Example Question #116 : Geometry

Example Question #117 : Geometry

Example Question #118 : Geometry

Example Question #119 : Geometry

All Common Core: 6th Grade Math Resources

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