Other 3-Dimensional Geometry
SAT Subject Test in Math I · Learn by Concept
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SAT Subject Test in Math I › Other 3-Dimensional Geometry
What is the volume of a triangular prism having a base of 2, a height of 8, and second height of 14?
Explanation
To find the volume of a triangular prism we use the equation
In our case our
Therefore,
A rectangular prism has a height of 4 in., length of 8in., and a width of 7in. Find the volume of the prism.
Explanation
To find the volume of a rectangular prism we use the equation of:
Now substituting in our values we get:
If a cube has a surface area of 
Explanation
The longest diagonal of a cube transverses the interior of the figure:
This distance is defined by the super pythagorean theorem :
where 
We can use the given surface area to find the length of the side:
We can use this value for the side to plug into the super pythagorean theorem
Which can be simplified to
