SAT Subject Test Mathematics Level 1

Example 3

Figure  2

The surface area is the sum of the areas of the faces. To find the areas of the
faces, you need to figure out what kinds of polygons they are so that you’ll
know what formulas to use. Start with the bases, which are said to be
“triangles with sides of lengths 3, 4, and 5.” If these side lengths don’t ring a
bell in your head, then you’d better go back to chapter 5 and bone up on
your special triangles. This is a 3-4-5 triangle, which means that it’s a right

In  Figure  2,  the bases   of  the right   uniform solid   are triangles   with    sides

of  lengths 3,  4,  and 5.  If  the volume  of  the solid   is  30, what    is  the total

surface area?

1.

(A) 17

(B) 30

(C) 36

(D) 60

(E) 72