HSPT Math : Geometry

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #261 : Measurement & Data

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.01.12 pm

 

Possible Answers:

\(\displaystyle 60cm^3\)

\(\displaystyle 37cm^3\)

\(\displaystyle 48cm^3\)

\(\displaystyle 28cm^3\)

\(\displaystyle 56cm^3\)

Correct answer:

\(\displaystyle 56cm^3\)

Explanation:

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

\(\displaystyle \small v=7\times\2\times4\)

\(\displaystyle \small v=56cm^3\)

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

Example Question #262 : Measurement & Data

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.01.58 pm

 

Possible Answers:

\(\displaystyle 18cm^3\)

\(\displaystyle 43cm^3\)

\(\displaystyle 27cm^3\)

\(\displaystyle 50cm^3\)

\(\displaystyle 54cm^3\)

Correct answer:

\(\displaystyle 54cm^3\)

Explanation:

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

\(\displaystyle \small v=9\times\2\times3\)

\(\displaystyle \small v=54cm^3\)

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

Example Question #261 : Measurement & Data

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.01.03 pm

 

Possible Answers:

\(\displaystyle 84cm^3\)

\(\displaystyle 102cm^3\)

\(\displaystyle 92cm^3\)

\(\displaystyle 96cm^3\)

\(\displaystyle 100cm^3\)

Correct answer:

\(\displaystyle 84cm^3\)

Explanation:

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

\(\displaystyle \small v=7\times\3\times4\)

\(\displaystyle \small v=84cm^3\)

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

Example Question #262 : Measurement & Data

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.00.00 pm

 

Possible Answers:

\(\displaystyle 10cm^3\)

\(\displaystyle 9cm^3\)

\(\displaystyle 7cm^3\)

\(\displaystyle 8cm^3\)

\(\displaystyle 6cm^3\)

Correct answer:

\(\displaystyle 6cm^3\)

Explanation:

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

\(\displaystyle \small v=3\times\1\times2\)

\(\displaystyle \small v=6cm^3\)

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

Example Question #263 : Measurement & Data

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.01.41 pm

 

Possible Answers:

\(\displaystyle 180cm^3\)

\(\displaystyle 75cm^3\)

\(\displaystyle 100cm^3\)

\(\displaystyle 90cm^3\)

\(\displaystyle 85cm^3\)

Correct answer:

\(\displaystyle 180cm^3\)

Explanation:

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

\(\displaystyle \small v=9\times\4\times5\)

\(\displaystyle \small v=180cm^3\)

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

Example Question #263 : Measurement & Data

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.00.49 pm

 

Possible Answers:

\(\displaystyle 26cm^3\)

\(\displaystyle 31cm^3\)

\(\displaystyle 18cm^3\)

\(\displaystyle 15cm^3\)

\(\displaystyle 28cm^3\)

Correct answer:

\(\displaystyle 18cm^3\)

Explanation:

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

\(\displaystyle \small v=6\times\1\times3\)

\(\displaystyle \small v=18cm^3\)

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

Example Question #264 : Measurement & Data

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 11.59.40 am

 

Possible Answers:

\(\displaystyle 16cm^3\)

\(\displaystyle 12cm^3\)

\(\displaystyle 13cm^3\)

\(\displaystyle 10cm^3\)

\(\displaystyle 8cm^3\)

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 #265 : Measurement & Data

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.01.19 pm

 

Possible Answers:

\(\displaystyle 48cm^3\)

\(\displaystyle 36cm^3\)

\(\displaystyle 46cm^3\)

\(\displaystyle 34cm^3\)

\(\displaystyle 42cm^3\)

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 #164 : Geometry

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.00.41 pm

 

Possible Answers:

\(\displaystyle 6cm^3\)

\(\displaystyle 34cm^3\)

\(\displaystyle 18cm^3\)

\(\displaystyle 12cm^3\)

\(\displaystyle 36cm^3\)

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 #264 : Measurement & Data

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 11.59.20 am

 

Possible Answers:

\(\displaystyle 68cm^3\)

\(\displaystyle 64cm^3\)

\(\displaystyle 78cm^3\)

\(\displaystyle 70cm^3\)

\(\displaystyle 74cm^3\)

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. 

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