SSAT Upper Level Math : How to find the volume of a prism

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #6 :Recognize Volume As An Attribute: Ccss.Math.Content.5.Md.C.3

Can we determine the volume of this shape?



Screen shot 2015 07 29 at 11.08.41 am

Possible Answers:

No because we were not given the area

Yes because we are given the length

Yes because this is a three-dimensional shape

No because this shape is flat

Correct answer:

Yes because this is a three-dimensional shape

Explanation:

Volume is a characteristic of three-dimensional shapes. This is a rectangular prism, 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 rectangular prism.

Example Question #7 :Recognize Volume As An Attribute: Ccss.Math.Content.5.Md.C.3

Can we determine the volume of this shape?

Screen shot 2015 07 29 at 11.16.08 am

Possible Answers:

Yes because this is a three-dimensional shape

No because we were not given the area

Yes because we are given the length

No because this shape is flat

Correct answer:

Yes because this is a three-dimensional shape

Explanation:

Volume is a characteristic of three-dimensional shapes. This is a rectangular prism, 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 rectangular prism.

Example Question #8 :Recognize Volume As An Attribute: Ccss.Math.Content.5.Md.C.3

Can we determine the volume of this shape?

Screen shot 2015 07 29 at 11.17.23 am

Possible Answers:

Yes because this is a three-dimensional shape

No because this shape is flat

Yes because we are given the width

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 #9 :Recognize Volume As An Attribute: Ccss.Math.Content.5.Md.C.3

Can we determine the volume of this shape?

Screen shot 2015 07 29 at 10.53.52 am

Possible Answers:

No because this shape is round

Yes because we are given the diameter

No because this shape is flat

Yes because we are given the radius

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 #10 :Recognize Volume As An Attribute: Ccss.Math.Content.5.Md.C.3

Can we determine the volume of this shape?

Screen shot 2015 07 29 at 11.14.46 am

Possible Answers:

Yes because this is a three-dimensional shape

No because we were not given the area

Yes because we are given the width

No because this shape is flat

Correct answer:

Yes because this is a three-dimensional shape

Explanation:

Volume is a characteristic of three-dimensional shapes. This is a cylinder, 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 cylinder.

Example Question #51 :Measurement & Data

Can we determine the volume of this shape?

Screen shot 2015 07 29 at 10.56.45 am

Possible Answers:

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

Yes because this is a closed shape

No because this shape is flat

Yes because we know each 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 #91 :Volume Of A Three Dimensional Figure

Can we determine the volume of this shape?

Screen shot 2015 07 29 at 10.58.34 am

Possible Answers:

No because this shape is open

Yes because we know all the side lengths

Yes because this shape is a perfect square

No because this shape is flat

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 #61 :Measurement & Data

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 this is a three-dimensional shape

Yes because we are given the width

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 #93 :Volume Of A Three Dimensional Figure

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 hasrows withcubes in each row. We can multiply to find the volume.

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

Example Question #94 :Volume Of A Three Dimensional Figure

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 hasrows withcubes in each row. We can multiply to find the volume.

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

Learning Tools by Varsity Tutors