SAT Subject Test Mathematics Level 2

(Marvins-Underground-K-12) #1

The way these solids are drawn, the top and bottom faces are parallel and congruent. These faces
are called the bases. You can think of each of these solids as the result of sliding the base through
space. The perpendicular distance through which the base slides is called the height.


In every one of the above cases—indeed, in the case of any uniform solid—the volume is equal to the
area of the base times the height. So, you can say that for any uniform solid, given the area of the
base B and the height h,


Volume  of  a   Uniform Solid   = Bh

Volume of a rectangular solid: A rectangular solid is a uniform solid whose base is a rectangle and
whose height is perpendicular to its base.


Given the length ℓ, width w, and height h, the area of the base is ℓw, and so the volume formula is

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