HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #161 : Geometry

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 11.59.40 am

 

Possible Answers:

\(\displaystyle 8cm^3\)

\(\displaystyle 10cm^3\)

\(\displaystyle 16cm^3\)

\(\displaystyle 12cm^3\)

\(\displaystyle 13cm^3\)

Correct answer:

\(\displaystyle 8cm^3\)

Explanation:

The formula for volume of a rectangular prism is \(\displaystyle \small v=l\times w\times h\)

\(\displaystyle \small v=4\times\1\times2\)

\(\displaystyle \small v=8cm^3\)

Remember, volume is always labeled as units to the third power. 

Example Question #17 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.01.19 pm

 

Possible Answers:

\(\displaystyle 48cm^3\)

\(\displaystyle 46cm^3\)

\(\displaystyle 42cm^3\)

\(\displaystyle 36cm^3\)

\(\displaystyle 34cm^3\)

Correct answer:

\(\displaystyle 42cm^3\)

Explanation:

The formula for volume of a rectangular prism is \(\displaystyle \small v=l\times w\times h\)

\(\displaystyle \small v=7\times\2\times3\)

\(\displaystyle \small v=42cm^3\)

Remember, volume is always labeled as units to the third power. 

Example Question #11 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.00.41 pm

 

Possible Answers:

\(\displaystyle 34cm^3\)

\(\displaystyle 18cm^3\)

\(\displaystyle 36cm^3\)

\(\displaystyle 12cm^3\)

\(\displaystyle 6cm^3\)

Correct answer:

\(\displaystyle 36cm^3\)

Explanation:

The formula for volume of a rectangular prism is \(\displaystyle \small v=l\times w\times h\)

\(\displaystyle \small v=6\times\2\times3\)

\(\displaystyle \small v=36cm^3\)

Remember, volume is always labeled as units to the third power. 

Example Question #1761 : Common Core Math: Grade 5

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 11.59.20 am

 

Possible Answers:

\(\displaystyle 68cm^3\)

\(\displaystyle 74cm^3\)

\(\displaystyle 70cm^3\)

\(\displaystyle 64cm^3\)

\(\displaystyle 78cm^3\)

Correct answer:

\(\displaystyle 64cm^3\)

Explanation:

The formula for volume of a rectangular prism is \(\displaystyle \small v=l\times w\times h\)

\(\displaystyle \small v=8\times\2\times4\)

\(\displaystyle \small v=64cm^3\)

Remember, volume is always labeled as units to the third power. 

Example Question #21 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.27.52 pm

 

 

Possible Answers:

\(\displaystyle 144cm^3\)

\(\displaystyle 148cm^3\)

\(\displaystyle 146cm^3\)

\(\displaystyle 150cm^3\)

\(\displaystyle 140cm^3\)

Correct answer:

\(\displaystyle 144cm^3\)

Explanation:

The formula for volume of a rectangular prism is \(\displaystyle \small v=l\times w\times h\)

\(\displaystyle \small v=4\times\3\times12\)

\(\displaystyle \small v=144cm^3\)

Remember, volume is always labeled as units to the third power. 

Example Question #22 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.26.22 pm

 

Possible Answers:

\(\displaystyle 252cm^3\)

\(\displaystyle 260cm^3\)

\(\displaystyle 264cm^3\)

\(\displaystyle 240cm^3\)

\(\displaystyle 258cm^3\)

Correct answer:

\(\displaystyle 264cm^3\)

Explanation:

The formula for volume of a rectangular prism is \(\displaystyle \small v=l\times w\times h\)

\(\displaystyle \small v=6\times\4\times11\)

\(\displaystyle \small v=264cm^3\)

Remember, volume is always labeled as units to the third power. 

Example Question #23 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.27.39 pm

 

Possible Answers:

\(\displaystyle 82cm^3\)

\(\displaystyle 100cm^3\)

\(\displaystyle 84cm^3\)

\(\displaystyle 76cm^3\)

\(\displaystyle 96cm^3\)

Correct answer:

\(\displaystyle 96cm^3\)

Explanation:

The formula for volume of a rectangular prism is \(\displaystyle \small v=l\times w\times h\)

\(\displaystyle \small v=4\times\2\times12\)

\(\displaystyle \small v=96cm^3\)

Remember, volume is always labeled as units to the third power.

Example Question #24 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.26.12 pm

 

Possible Answers:

\(\displaystyle 280cm^3\)

\(\displaystyle 260cm^3\)

\(\displaystyle 240cm^3\)

\(\displaystyle 290cm^3\)

\(\displaystyle 270cm^3\)

Correct answer:

\(\displaystyle 240cm^3\)

Explanation:

The formula for volume of a rectangular prism is \(\displaystyle \small v=l\times w\times h\)

\(\displaystyle \small v=6\times\4\times10\)

\(\displaystyle \small v=240cm^3\)

Remember, volume is always labeled as units to the third power. 

Example Question #25 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.26.50 pm

 

Possible Answers:

\(\displaystyle 120cm^2\)

\(\displaystyle 121cm^3\)

\(\displaystyle 101cm^3\)

\(\displaystyle 110cm^3\)

\(\displaystyle 105cm^3\)

Correct answer:

\(\displaystyle 110cm^3\)

Explanation:

The formula for volume of a rectangular prism is \(\displaystyle \small v=l\times w\times h\)

\(\displaystyle \small v=5\times\2\times11\)

\(\displaystyle \small v=110cm^3\)

Remember, volume is always labeled as units to the third power. 

Example Question #26 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.26.03 pm

 

Possible Answers:

\(\displaystyle 130cm^3\)

\(\displaystyle 110cm^3\)

\(\displaystyle 150cm^3\)

\(\displaystyle 140cm^3\)

\(\displaystyle 120cm^3\)

Correct answer:

\(\displaystyle 120cm^3\)

Explanation:

The formula for volume of a rectangular prism is \(\displaystyle \small v=l\times w\times h\)

\(\displaystyle \small v=6\times\2\times10\)

\(\displaystyle \small v=120cm^3\)

Remember, volume is always labeled as units to the third power. 

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