SAT Subject Test Mathematics Level 1

Volume  of  Cylinder    =   πr^2 h  =   π(3^2 )(2)=18π ≈56.55

The answer is (E). Applying the formula was the easy part. Visualizing the
cylinder and figuring out what’s r and what’s h was the challenging part. A
typical Mathematics subject test will include one or two questions that entail
visualizing. Here's another one in Example 5.

Example 5

Notice that each of the dimensions 7, 5, and 4 of each rectangular block is a
factor of one of the inside dimensions 16, 15, and 14 of the rectangular carton.
Specifically, 7 is a factor of 14 (14 = 2 × 7), 5 is a factor of 15 (15 = 3 × 5), and 4 is
a factor of 16 (16 = 4 × 4). So you can place the blocks in the carton by placing
the dimension 7 of the blocks along the dimension 14 of the carton, the

The maximum possible    number  of  identical   rectangular blocks  are

placed  inside  a   rectangular carton. The rectangular blocks  each    have    a

length  of  7,  a   width   of  5,  and a   height  of  4,  and the rectangular carton

has inside  dimensions  that    are a   length  of  16, a   width   of  15, and a

height  of  14. What    is  the total   surface area    of  the rectangular blocks

that    are inside  the rectangular carton?

1.

(A) 1,348

(B) 1,992

(C) 2,656

(D) 3,360

(E) 3,984