PSLE
A rectangular block C was cut along the dotted line into two smaller rectangular blocks of equal height, D and E, as shown. The volume of E is 2352 cm³ more than that of D.

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

(a)
Base area of Block D
= 7 x 14
= 98 cm²

Base area of Block E
= 21 x 14
= 294 cm²

Base area of Block E more than Block D
= 294 - 98
= 196 cm²

Height of each block
= 2352 ÷ 196
= 12 cm

(b)
Base area of the box
= 6 x 294
= 1764 cm³

Length of the box
= √1764
= 42 cm

Number of Block D along the length of the box
= 42 ÷ 7
= 6 r 0 

Number of Block D along the breadth of the box
= 42 ÷ 14
= 3

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

Answer(s): (a) 12 cm; (b) 18