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HSPT Math : Geometry

Study concepts, example questions & explanations for HSPT Math

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

Example Questions

Example Question #301 : Measurement & Data

What is the volume of the rectangular prism below?

Screen shot 2015 11 05 at 1.37.01 pm

Possible Answers:

127cm^3

129cm^3

130cm^3

128cm^3

126cm^3

Correct answer:

128cm^3

Explanation:

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

$\small v=8\times\8\times2$

$\small v=128cm^3$

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

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Example Question #303 : Measurement & Data

What is the volume of the rectangular prism below?

Screen shot 2015 11 05 at 1.36.07 pm

Possible Answers:

195cm^3

193cm^3

194cm^3

197cm^3

196cm^3

Correct answer:

196cm^3

Explanation:

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

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

$\small v=196cm^3$

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

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Example Question #304 : Measurement & Data

What is the volume of the rectangular prism below?

Screen shot 2015 11 05 at 1.36.54 pm

Possible Answers:

65cm^3

66cm^3

67cm^3

64cm^3

63cm^3

Correct answer:

64cm^3

Explanation:

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

$\small v=8\times\8\times1$

$\small v=64cm^3$

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

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Example Question #305 : Measurement & Data

What is the volume of the rectangular prism below?

Screen shot 2015 11 05 at 1.35.53 pm

Possible Answers:

145cm^3

146cm^3

144cm^3

148cm^3

147cm^3

Correct answer:

144cm^3

Explanation:

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

$\small v=6\times\6\times4$

$\small v=144cm^3$

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

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Example Question #306 : Measurement & Data

What is the volume of the rectangular prism below?

Screen shot 2015 11 05 at 1.36.36 pm

Possible Answers:

49cm^3

45cm^3

46cm^3

47cm^3

48cm^3

Correct answer:

49cm^3

Explanation:

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

$\small v=7\times\7\times1$

$\small v=49cm^3$

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

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Example Question #307 : Measurement & Data

What is the volume of the rectangular prism below?

Screen shot 2015 11 05 at 1.35.44 pm

Possible Answers:

109cm^3

112cm^3

111cm^3

108cm^3

110cm^3

Correct answer:

108cm^3

Explanation:

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

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

$\small v=108cm^3$

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

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Example Question #411 : Hspt Mathematics

What is the volume of a cylinder with a base radius of 8 and a height of 10?

Possible Answers:

$v=80\textup{ units}^3$

$v=2000\textup{ units}^3$

$v=2010\textup{ units}^3$

$v=503\textup{ units}^3$

$v=500\textup{ units}^3$

Correct answer:

$v=2010\textup{ units}^3$

Explanation:

To find the volume you must use the formula

$v=\pi r^{2}h$

Identify the given information.

$\\ \textup{radius}=8 \\ \textup{height}=10$

Substitute the given information into the volume formula.

$v=\pi r^{2}h$

$v=\pi 8^{2}\times10$

$v=64\times 10 \pi$

$v=64\times 3.14\times 10$

$v=201\times 10$

$v=2010\textup{ units}^3$

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Example Question #1 : How To Find The Measure Of An Angle

What is the sum of the interior angles of a triangle?

Possible Answers:

180

270

360

Correct answer:

180

Explanation:

The sum of the three interior angles of a triangle is 180 degrees.

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Example Question #1 : How To Find The Measure Of An Angle

Two of the interior angles of a triangle measure $50^{\circ }$ and $45^{\circ}$ . What is the greatest measure of any of its exterior angles?

Possible Answers:

$135^{\circ }$

$85^{\circ }$

It cannot be determined from the information given.

$130^{\circ }$

$95^{\circ }$

Correct answer:

$135^{\circ }$

Explanation:

The interior angles of a triangle must have measures whose sum is $180^{\circ }$ , so the measure of the third angle must be $180 - (50+45) = 85^{\circ }$ .

By the Triangle Exterior-Angle Theorem, an exterior angle of a triangle measures the sum of its remote interior angles; therefore, to get the greatest measure of any exterior angle, we add the two greatest interior angle measures: $50+85= 135^{\circ }$

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Example Question #1 : How To Find An Angle Of A Line

Two angles are supplementary and have a ratio of 1:4. What is the size of the smaller angle?

Possible Answers:

$45^{\circ}$

$72^{\circ}$

$144^{\circ}$

$36^{\circ}$

$18^{\circ}$

Correct answer:

$36^{\circ}$

Explanation:

Since the angles are supplementary, their sum is 180 degrees. Because they are in a ratio of 1:4, the following expression could be written:

$x+4x=180$

$5x=180$

$x=36^{\circ}$

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All HSPT Math Resources

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

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HSPT Math : Geometry

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #301 : Measurement & Data

Example Question #303 : Measurement & Data

Example Question #304 : Measurement & Data

Example Question #305 : Measurement & Data

Example Question #306 : Measurement & Data

Example Question #307 : Measurement & Data

Example Question #411 : Hspt Mathematics

Example Question #1 : How To Find The Measure Of An Angle

Example Question #1 : How To Find The Measure Of An Angle

Example Question #1 : How To Find An Angle Of A Line

All HSPT Math Resources

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