PSLE
A rectangular block Q was cut along the dotted line into two smaller rectangular blocks of equal height, R and S, as shown. The volume of S is 7392 cm³ more than that of R.

1. What is the height of each block? 
2. Paul packed 6 of block S such that they fit exactly into a box with a square base. The box has the same height as S. At most, how many of block R can be packed into such a box? 

(a)
Base area of Block R
= 12 x 22
= 264 cm²

Base area of Block S
= 33 x 22
= 726 cm²

Base area of Block S more than Block R
= 726 - 264
= 462 cm²

Height of each block
= 7392 ÷ 462
= 16 cm

(b)
Base area of the box
= 6 x 726
= 4356 cm³

Length of the box
= √4356
= 66 cm

Number of Block R along the length of the box
= 66 ÷ 12
= 5 r 6 

Number of Block R along the breadth of the box
= 66 ÷ 22
= 3

Number of Block R to pack into the box at most
= 5 x 3
= 15

Answer(s): (a) 16 cm; (b) 15