HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #381 : Hspt Mathematics

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.27.30 pm

 

Possible Answers:

\(\displaystyle 60cm^3\)

\(\displaystyle 68cm^3\)

\(\displaystyle 74cm^3\)

\(\displaystyle 70cm^3\)

\(\displaystyle 72cm^3\)

Correct answer:

\(\displaystyle 72cm^3\)

Explanation:

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

\(\displaystyle \small v=3\times\2\times12\)

\(\displaystyle \small v=72cm^3\)

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

Example Question #382 : Hspt Mathematics

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.25.50 pm

 

Possible Answers:

\(\displaystyle 160cm^3\)

\(\displaystyle 190cm^3\)

\(\displaystyle 180cm^3\)

\(\displaystyle 170cm^3\)

\(\displaystyle 150cm^3\)

Correct answer:

\(\displaystyle 180cm^3\)

Explanation:

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

\(\displaystyle \small v=6\times\3\times10\)

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

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

Example Question #383 : Hspt Mathematics

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.26.41 pm

 

Possible Answers:

\(\displaystyle 136cm^3\)

\(\displaystyle 139cm^3\)

\(\displaystyle 137cm^3\)

\(\displaystyle 132cm^3\)

\(\displaystyle 134cm^3\)

Correct answer:

\(\displaystyle 132cm^3\)

Explanation:

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

\(\displaystyle \small v=6\times\2\times11\)

\(\displaystyle \small v=132cm^3\)

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

Example Question #34 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.25.39 pm

 

Possible Answers:

\(\displaystyle 130cm^3\)

\(\displaystyle 120cm^3\)

\(\displaystyle 100cm^3\)

\(\displaystyle 140cm^3\)

\(\displaystyle 110cm^3\)

Correct answer:

\(\displaystyle 120cm^3\)

Explanation:

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

\(\displaystyle \small v=4\times\3\times10\)

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

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

Example Question #35 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.26.32 pm

 

Possible Answers:

\(\displaystyle 190cm^3\)

\(\displaystyle 192cm^3\)

\(\displaystyle 198cm^3\)

\(\displaystyle 196cm^3\)

\(\displaystyle 194cm^3\)

Correct answer:

\(\displaystyle 198cm^3\)

Explanation:

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

\(\displaystyle \small v=6\times\3\times11\)

\(\displaystyle \small v=198cm^3\)

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

Example Question #36 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 12.25.29 pm

 

Possible Answers:

\(\displaystyle 150cm^3\)

\(\displaystyle 165cm^3\)

\(\displaystyle 175cm^2\)

\(\displaystyle 170cm^3\)

\(\displaystyle 160cm^3\)

Correct answer:

\(\displaystyle 150cm^3\)

Explanation:

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

\(\displaystyle \small v=5\times\3\times10\)

\(\displaystyle \small v=150cm^3\)

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

Example Question #37 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 1.03.38 pm

 

Possible Answers:

\(\displaystyle 14m^3\)

\(\displaystyle 12cm^3\)

\(\displaystyle 16cm^3\)

\(\displaystyle 18cm^3\)

\(\displaystyle 8cm^3\)

Correct answer:

\(\displaystyle 12cm^3\)

Explanation:

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

\(\displaystyle \small v=2\times\1\times6\)

\(\displaystyle \small v=12cm^3\)

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

Example Question #38 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 1.02.13 pm

 

Possible Answers:

\(\displaystyle 36cm^3\)

\(\displaystyle 30cm^3\)

\(\displaystyle 32cm^3\)

\(\displaystyle 34cm^3\)

\(\displaystyle 33cm^3\)

Correct answer:

\(\displaystyle 36cm^3\)

Explanation:

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

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

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

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

Example Question #281 : Measurement & Data

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 1.03.11 pm

 

Possible Answers:

\(\displaystyle 145cm^3\)

\(\displaystyle 155cm^3\)

\(\displaystyle 160cm^3\)

\(\displaystyle 140cm^3\)

\(\displaystyle 150cm^3\)

Correct answer:

\(\displaystyle 150cm^3\)

Explanation:

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

\(\displaystyle \small v=5\times\5\times6\)

\(\displaystyle \small v=150cm^3\)

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

Example Question #282 : Measurement & Data

What is the volume of the rectangular prism below? 

Screen shot 2015 11 05 at 1.00.45 pm

 

Possible Answers:

\(\displaystyle 60cm^3\)

\(\displaystyle 54cm^3\)

\(\displaystyle 52cm^3\)

\(\displaystyle 56cm^3\)

\(\displaystyle 58cm^3\)

Correct answer:

\(\displaystyle 54cm^3\)

Explanation:

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

\(\displaystyle \small v=3\times\3\times6\)

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

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

Learning Tools by Varsity Tutors