All SSAT Upper Level Math Resources
Example Questions
Example Question #91 : Volume Of A Three Dimensional Figure
Can we determine the volume of this shape?
No because this shape is flat
Yes because this is a closed shape
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
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?
No because this shape is flat
Yes because this shape is a perfect square
No because this shape is open
Yes because we know all the side lengths
No because this shape is flat
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 #62 : Measurement & Data
Can we determine the volume of this shape?
No because we were not given the area
Yes because this is a three-dimensional shape
No because this shape is flat
Yes because we are given the width
Yes because this is a three-dimensional shape
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?
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?
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 #92 : Volume Of A Three Dimensional Figure
The above diagram shows a rectangular solid. The shaded side is a square. Give the volume of the solid.
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.
The volume of the solid is the product of the three dimensions:
.
Example Question #42 : How To Find The Volume Of A Prism
The above diagram shows a rectangular solid. The shaded side is a square. In terms of , give the volume of the solid.
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 .
The dimensions are 30, , and , making the volume
.
Example Question #51 : Measurement & Data
Can we determine the volume of this 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
Yes because this is a closed shape
No because this shape is flat
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?
Not enough information provided
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?
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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