SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

Example Question #53 : Measurement & Data

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 10.56.45 am

Possible Answers:

Yes because we know each of the side lengths

No because this shape does not provide enough information to find the volume

No because this shape is flat

Yes because this is a closed shape 

Correct answer:

No because this shape is flat

Explanation:

Volume is only a characteristic of three-dimensional shapes. We can think of volume as space within an object or shape.  Because this is a flat shape, it does not have a volume.

Example Question #931 : Ssat Upper Level Quantitative (Math)

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 10.58.34 am

Possible Answers:

Yes because we know all the side lengths 

Yes because this shape is a perfect square

No because this shape is flat

No because this shape is open

Correct answer:

No because this shape is flat

Explanation:

Volume is only a characteristic of three-dimensional shapes. We can think of volume as space within an object or shape.  Because this is a flat shape, it does not have a volume.

Example Question #932 : Ssat Upper Level Quantitative (Math)

Can we determine the volume of this shape? 

Screen shot 2015 07 29 at 11.08.14 am

Possible Answers:

No because this shape is flat

Yes because we are given the width 

Yes because this is a three-dimensional shape

No because we were not given the area

Correct answer:

Yes because this is a three-dimensional shape

Explanation:

Volume is a characteristic of three-dimensional shapes. This is a cube, which is a three-dimensional shape. We can think of volume as space within an object or shape, so the volume would be the amount of space inside this cube. 

Example Question #932 : Ssat Upper Level Quantitative (Math)

 What is the volume of the object below? 

Screen shot 2015 07 29 at 8.34.50 am

Possible Answers:

Correct answer:

Explanation:

This object has  rows with  cubes in each row. We can multiply to find the volume. 

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

Example Question #31 : How To Find The Volume Of A Prism

 What is the volume of the object below? 


Screen shot 2015 07 29 at 8.31.38 am

Possible Answers:

Correct answer:

Explanation:

This object has  rows with  cubes in each row. We can multiply to find the volume. 

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

Example Question #41 : How To Find The Volume Of A Prism

Box

The above diagram shows a rectangular solid. The shaded side is a square. Give the volume of the solid.

Possible Answers:

Correct answer:

Explanation:

A square has four sides of equal length, so, as seen in the diagram below, the length, width, and height of the solid are 20, 10, and 10.

Box 3

The volume of the solid is the product of the three dimensions:

.

Example Question #42 : How To Find The Volume Of A Prism

Box

The above diagram shows a rectangular solid. The shaded side is a square. In terms of , give the volume of the solid.

Possible Answers:

Correct answer:

Explanation:

The volume of a rectangular solid is the product of its three dimensions. Since the left (and right) surfaces are squares, as seen in the figure below, the missing dimension is equal to .

Untitled 4

The dimensions are 30, , and , making the volume

.

Example Question #51 : Measurement & Data

Can we determine the volume of this shape?

Screen shot 2015 07 29 at 10.55.06 am

Possible Answers:

No because this shape is flat

Yes because this is a closed shape

No because this shape only has three sides

Yes because we are given all of the side lengths 

Correct answer:

No because this shape is flat

Explanation:

Volume is only a characteristic of three-dimensional shapes. We can think of volume as space within an object or shape.  Because this is a flat shape, it does not have a volume.

Example Question #1 : How To Find The Volume Of A Pyramid

A given right rectangular pyramid has a base length and base width of , as well as a height of . What is the volume of the pyramid?

Possible Answers:

Not enough information provided

Correct answer:

Explanation:

The volume  of a right rectangular pyramid with base length , base width , and height  can be determined with the following formula:

.

Plugging in our given values for each variable, we have

Example Question #2 : How To Find The Volume Of A Pyramid

A given right rectangular pyramid has a base length of , a base width of , and a height of . What is the volume of the pyramid?

Possible Answers:

Correct answer:

Explanation:

The volume  of a right rectangular pyramid with base length , base width , and height  can be determined with the following formula:

.

Plugging in our given values for each variable, we have

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