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

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

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Example Questions

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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:

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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.

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The dimensions are 30,,, making the volume

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Example Question #2 :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 10.55.06 am

Possible Answers:

Yes because this is a closed shape

Yes because we are given all of the side lengths

No because this shape only has three sides

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.

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