PSLE A rectangular block E was cut along the dotted line into two smaller rectangular blocks of equal height, F and G, as shown. The volume of G is 12000 cm
3 more than that of F.
- What is the height of each block?
- Tom packed 6 of block G such that they fit exactly into a box with a square base. The box has the same height as G. At most, how many of block F can be packed into such a box?
(a)
Base area of Block F
= 16 x 24
= 384 cm
2 Base area of Block G
= 36 x 24
= 864 cm
2 Base area of Block G more than Block F
= 864 - 384
= 480 cm
2 Height of each block
= 12000 ÷ 480
= 25 cm
(b)
Base area of the box
= 6 x 864
= 5184 cm
3 Length of the box
= √5184
= 72 cm
Number of Block F along the length of the box
= 72 ÷ 16
= 4 r 8
Number of Block F along the breadth of the box
= 72 ÷ 24
= 3
Number of Block F to pack into the box at most
= 4 x 3
= 12
Answer(s): (a) 25 cm; (b) 12