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HSPT Math : Geometry

Study concepts, example questions & explanations for HSPT Math

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All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #12 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below?

Screen shot 2015 11 05 at 12.01.12 pm

Possible Answers:

48cm^3 $\displaystyle 48cm^3$

37cm^3 $\displaystyle 37cm^3$

28cm^3 $\displaystyle 28cm^3$

60cm^3 $\displaystyle 60cm^3$

56cm^3 $\displaystyle 56cm^3$

Correct answer:

56cm^3 $\displaystyle 56cm^3$

Explanation:

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

$\small v=7\times\2\times4$ $\displaystyle \small v=7\times\2\times4$

$\small v=56cm^3$ $\displaystyle \small v=56cm^3$

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

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Example Question #13 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below?

Screen shot 2015 11 05 at 12.01.58 pm

Possible Answers:

18cm^3 $\displaystyle 18cm^3$

54cm^3 $\displaystyle 54cm^3$

43cm^3 $\displaystyle 43cm^3$

50cm^3 $\displaystyle 50cm^3$

27cm^3 $\displaystyle 27cm^3$

Correct answer:

54cm^3 $\displaystyle 54cm^3$

Explanation:

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

$\small v=9\times\2\times3$ $\displaystyle \small v=9\times\2\times3$

$\small v=54cm^3$ $\displaystyle \small v=54cm^3$

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

Report an Error

Example Question #14 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below?

Screen shot 2015 11 05 at 12.01.03 pm

Possible Answers:

102cm^3 $\displaystyle 102cm^3$

100cm^3 $\displaystyle 100cm^3$

84cm^3 $\displaystyle 84cm^3$

96cm^3 $\displaystyle 96cm^3$

92cm^3 $\displaystyle 92cm^3$

Correct answer:

84cm^3 $\displaystyle 84cm^3$

Explanation:

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

$\small v=7\times\3\times4$ $\displaystyle \small v=7\times\3\times4$

$\small v=84cm^3$ $\displaystyle \small v=84cm^3$

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

Report an Error

Example Question #15 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below?

Screen shot 2015 11 05 at 12.00.00 pm

Possible Answers:

10cm^3 $\displaystyle 10cm^3$

9cm^3 $\displaystyle 9cm^3$

6cm^3 $\displaystyle 6cm^3$

8cm^3 $\displaystyle 8cm^3$

7cm^3 $\displaystyle 7cm^3$

Correct answer:

6cm^3 $\displaystyle 6cm^3$

Explanation:

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

$\small v=3\times\1\times2$ $\displaystyle \small v=3\times\1\times2$

$\small v=6cm^3$ $\displaystyle \small v=6cm^3$

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

Report an Error

Example Question #16 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below?

Screen shot 2015 11 05 at 12.01.41 pm

Possible Answers:

85cm^3 $\displaystyle 85cm^3$

100cm^3 $\displaystyle 100cm^3$

75cm^3 $\displaystyle 75cm^3$

180cm^3 $\displaystyle 180cm^3$

90cm^3 $\displaystyle 90cm^3$

Correct answer:

180cm^3 $\displaystyle 180cm^3$

Explanation:

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

$\small v=9\times\4\times5$ $\displaystyle \small v=9\times\4\times5$

$\small v=180cm^3$ $\displaystyle \small v=180cm^3$

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

Report an Error

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 12.00.49 pm

Possible Answers:

18cm^3 $\displaystyle 18cm^3$

31cm^3 $\displaystyle 31cm^3$

26cm^3 $\displaystyle 26cm^3$

28cm^3 $\displaystyle 28cm^3$

15cm^3 $\displaystyle 15cm^3$

Correct answer:

18cm^3 $\displaystyle 18cm^3$

Explanation:

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

$\small v=6\times\1\times3$ $\displaystyle \small v=6\times\1\times3$

$\small v=18cm^3$ $\displaystyle \small v=18cm^3$

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

Report an Error

Example Question #18 : How To Find The Volume Of A Figure

What is the volume of the rectangular prism below?

Screen shot 2015 11 05 at 11.59.40 am

Possible Answers:

16cm^3 $\displaystyle 16cm^3$

13cm^3 $\displaystyle 13cm^3$

10cm^3 $\displaystyle 10cm^3$

12cm^3 $\displaystyle 12cm^3$

8cm^3 $\displaystyle 8cm^3$

Correct answer:

8cm^3 $\displaystyle 8cm^3$

Explanation:

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

$\small v=4\times\1\times2$ $\displaystyle \small v=4\times\1\times2$

$\small v=8cm^3$ $\displaystyle \small v=8cm^3$

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

Report an Error

Example Question #19 : 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:

46cm^3 $\displaystyle 46cm^3$

48cm^3 $\displaystyle 48cm^3$

34cm^3 $\displaystyle 34cm^3$

36cm^3 $\displaystyle 36cm^3$

42cm^3 $\displaystyle 42cm^3$

Correct answer:

42cm^3 $\displaystyle 42cm^3$

Explanation:

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

$\small v=7\times\2\times3$ $\displaystyle \small v=7\times\2\times3$

$\small v=42cm^3$ $\displaystyle \small v=42cm^3$

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

Report an Error

Example Question #20 : 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:

34cm^3 $\displaystyle 34cm^3$

12cm^3 $\displaystyle 12cm^3$

6cm^3 $\displaystyle 6cm^3$

36cm^3 $\displaystyle 36cm^3$

18cm^3 $\displaystyle 18cm^3$

Correct answer:

36cm^3 $\displaystyle 36cm^3$

Explanation:

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

$\small v=6\times\2\times3$ $\displaystyle \small v=6\times\2\times3$

$\small v=36cm^3$ $\displaystyle \small v=36cm^3$

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

Report an Error

Example Question #21 : 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 11.59.20 am

Possible Answers:

64cm^3 $\displaystyle 64cm^3$

78cm^3 $\displaystyle 78cm^3$

70cm^3 $\displaystyle 70cm^3$

74cm^3 $\displaystyle 74cm^3$

68cm^3 $\displaystyle 68cm^3$

Correct answer:

64cm^3 $\displaystyle 64cm^3$

Explanation:

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

$\small v=8\times\2\times4$ $\displaystyle \small v=8\times\2\times4$

$\small v=64cm^3$ $\displaystyle \small v=64cm^3$

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

Report an Error

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HSPT Math : Geometry

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #12 : How To Find The Volume Of A Figure

Example Question #13 : How To Find The Volume Of A Figure

Example Question #14 : How To Find The Volume Of A Figure

Example Question #15 : How To Find The Volume Of A Figure

Example Question #16 : How To Find The Volume Of A Figure

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

Example Question #18 : How To Find The Volume Of A Figure

Example Question #19 : How To Find The Volume Of A Figure

Example Question #20 : How To Find The Volume Of A Figure

Example Question #21 : Apply The Volume Formula: Ccss.Math.Content.5.Md.C.5b

All HSPT Math Resources

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