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