Common Core: 6th Grade Math : Find the Volume of a Right Rectangular Prism with Fractional Edge Lengths: CCSS.Math.Content.6.G.A.2

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

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Example Questions

Example Question #21 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

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

2

Possible Answers:

\(\displaystyle 140\textup{ cm}^3\)

\(\displaystyle 149\textup{ cm}^3\)

\(\displaystyle 146.5\textup{ cm}^3\)

\(\displaystyle 144\textup{ cm}^3\)

\(\displaystyle 138.5\textup{ cm}^3\)

Correct answer:

\(\displaystyle 140\textup{ cm}^3\)

Explanation:

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

\(\displaystyle A=l\times w\times h\)

Substitute our side lengths:

\(\displaystyle A=3\frac{1}{2}\times4\times10\)

\(\displaystyle A=140\textup{ cm}^3\)

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

Example Question #22 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

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

3

Possible Answers:

\(\displaystyle 128\textup{ cm}^3\)

\(\displaystyle 130.5\textup{ cm}^3\)

\(\displaystyle 126\textup{ cm}^3\)

\(\displaystyle 127.5\textup{ cm}^3\)

\(\displaystyle 125\textup{ cm}^3\)

Correct answer:

\(\displaystyle 126\textup{ cm}^3\)

Explanation:

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

\(\displaystyle A=l\times w\times h\)

Substitute our side lengths:

\(\displaystyle A=3\frac{1}{2}\times4\times9\)

\(\displaystyle A=126\textup{ cm}^3\)

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

Example Question #23 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

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

4

Possible Answers:

\(\displaystyle 110.5\textup{ cm}^3\)

\(\displaystyle 114.5\textup{ cm}^3\)

\(\displaystyle 119\textup{ cm}^3\)

\(\displaystyle 116\textup{ cm}^3\)

\(\displaystyle 112\textup{ cm}^3\)

Correct answer:

\(\displaystyle 112\textup{ cm}^3\)

Explanation:

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

\(\displaystyle A=l\times w\times h\)

Substitute our side lengths:

\(\displaystyle A=3\frac{1}{2}\times4\times8\)

\(\displaystyle A=112\textup{ cm}^3\)

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

Example Question #24 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

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

5

Possible Answers:

\(\displaystyle 98\textup{ cm}^3\)

\(\displaystyle 97\textup{ cm}^3\)

\(\displaystyle 103.5\textup{ cm}^3\)

\(\displaystyle 105\textup{ cm}^3\)

\(\displaystyle 100\textup{ cm}^3\)

Correct answer:

\(\displaystyle 98\textup{ cm}^3\)

Explanation:

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

\(\displaystyle A=l\times w\times h\)

Substitute our side lengths:

\(\displaystyle A=3\frac{1}{2}\times4\times7\)

\(\displaystyle A=98\textup{ cm}^3\)

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

Example Question #25 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

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

6

Possible Answers:

\(\displaystyle 90.5\textup{ cm}^3\)

\(\displaystyle 91.5\textup{ cm}^3\)

\(\displaystyle 84\textup{ cm}^3\)

\(\displaystyle 82\textup{ cm}^3\)

\(\displaystyle 88\textup{ cm}^3\)

Correct answer:

\(\displaystyle 84\textup{ cm}^3\)

Explanation:

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

\(\displaystyle A=l\times w\times h\)

Substitute our side lengths:

\(\displaystyle A=3\frac{1}{2}\times4\times6\)

\(\displaystyle A=84\textup{ cm}^3\)

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

Example Question #26 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

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

1

Possible Answers:

\(\displaystyle 107\textup{ cm}^3\)

\(\displaystyle 104.5\textup{ cm}^3\)

\(\displaystyle 108\textup{ cm}^3\)

\(\displaystyle 110\textup{ cm}^3\)

\(\displaystyle 105\textup{ cm}^3\)

Correct answer:

\(\displaystyle 108\textup{ cm}^3\)

Explanation:

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

\(\displaystyle A=l\times w\times h\)

Substitute our side lengths:

\(\displaystyle A=4\frac{1}{2}\times4\times6\)

\(\displaystyle A=108\textup{ cm}^3\)

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

Example Question #27 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

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

2

Possible Answers:

\(\displaystyle 91.5\textup{ cm}^3\)

\(\displaystyle 87.5\textup{ cm}^3\)

\(\displaystyle 88\textup{ cm}^3\)

\(\displaystyle 90\textup{ cm}^3\)

\(\displaystyle 84.5\textup{ cm}^3\)

Correct answer:

\(\displaystyle 90\textup{ cm}^3\)

Explanation:

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

\(\displaystyle A=l\times w\times h\)

Substitute our side lengths:

\(\displaystyle A=4\frac{1}{2}\times4\times5\)

\(\displaystyle A=90\textup{ cm}^3\)

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

Example Question #28 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

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

3

Possible Answers:

\(\displaystyle 74\textup{ cm}^3\)

\(\displaystyle 68.5\textup{ cm}^3\)

\(\displaystyle 64\textup{ cm}^3\)

\(\displaystyle 70.5\textup{ cm}^3\)

\(\displaystyle 72\textup{ cm}^3\)

Correct answer:

\(\displaystyle 72\textup{ cm}^3\)

Explanation:

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

\(\displaystyle A=l\times w\times h\)

Substitute our side lengths:

\(\displaystyle A=4\frac{1}{2}\times4\times4\)

\(\displaystyle A=72\textup{ cm}^3\)

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

Example Question #29 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

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

4

Possible Answers:

\(\displaystyle 54\textup{ cm}^3\)

\(\displaystyle 50.5\textup{ cm}^3\)

\(\displaystyle 53\textup{ cm}^3\)

\(\displaystyle 55.5\textup{ cm}^3\)

\(\displaystyle 53.5\textup{ cm}^3\)

Correct answer:

\(\displaystyle 54\textup{ cm}^3\)

Explanation:

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

\(\displaystyle A=l\times w\times h\)

Substitute our side lengths:

\(\displaystyle A=4\frac{1}{2}\times4\times3\)

\(\displaystyle A=54\textup{ cm}^3\)

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

Example Question #30 : Find The Volume Of A Right Rectangular Prism With Fractional Edge Lengths: Ccss.Math.Content.6.G.A.2

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


5

Possible Answers:

\(\displaystyle 36\textup{ cm}^3\)

\(\displaystyle 35.5\textup{ cm}^3\)

\(\displaystyle 37\textup{ cm}^3\)

\(\displaystyle 32\textup{ cm}^3\)

\(\displaystyle 34\textup{ cm}^3\)

Correct answer:

\(\displaystyle 36\textup{ cm}^3\)

Explanation:

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

\(\displaystyle A=l\times w\times h\)

Substitute our side lengths:

\(\displaystyle A=4\frac{1}{2}\times4\times2\)

\(\displaystyle A=36\textup{ cm}^3\)

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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