PSLE
A rectangular block K was cut along the dotted line into two smaller rectangular blocks of equal height, L and M, as shown. The volume of M is 2340 cm³ more than that of L.

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

(a)
Base area of Block L
= 5 x 12
= 60 cm²

Base area of Block M
= 18 x 12
= 216 cm²

Base area of Block M more than Block L
= 216 - 60
= 156 cm²

Height of each block
= 2340 ÷ 156
= 15 cm

(b)
Base area of the box
= 6 x 216
= 1296 cm³

Length of the box
= √1296
= 36 cm

Number of Block L along the length of the box
= 36 ÷ 5
= 7 r 1 

Number of Block L along the breadth of the box
= 36 ÷ 12
= 3

Number of Block L to pack into the box at most
= 7 x 3
= 21

Answer(s): (a) 15 cm; (b) 21