PSLE
A rectangular block J was cut along the dotted line into two smaller rectangular blocks of equal height, K and L, as shown. The volume of L is 7920 cm³ more than that of K.

1. What is the height of each block? 
2. Vaidev packed 8 of block L such that they fit exactly into a box with a square base. The box has the same height as L. At most, how many of block K can be packed into such a box? 

(a)
Base area of Block K
= 12 x 24
= 288 cm²

Base area of Block L
= 36 x 24
= 648 cm²

Base area of Block L more than Block K
= 648 - 288
= 360 cm²

Height of each block
= 7920 ÷ 360
= 22 cm

(b)
Base area of the box
= 8 x 648
= 5184 cm³

Length of the box
= √5184
= 72 cm

Number of Block K along the length of the box
= 72 ÷ 12
= 6 r 0 

Number of Block K along the breadth of the box
= 72 ÷ 24
= 3

Number of Block K to pack into the box at most
= 6 x 3
= 18

Answer(s): (a) 22 cm; (b) 18