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 4590 cm
3 more than that of G.
- What is the height of each block?
- Perry packed 8 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
= 9 x 20
= 180 cm
2 Base area of Block H
= 30 x 20
= 450 cm
2 Base area of Block H more than Block G
= 450 - 180
= 270 cm
2 Height of each block
= 4590 ÷ 270
= 17 cm
(b)
Base area of the box
= 8 x 450
= 3600 cm
3 Length of the box
= √3600
= 60 cm
Number of Block G along the length of the box
= 60 ÷ 9
= 6 r 6
Number of Block G along the breadth of the box
= 60 ÷ 20
= 3
Number of Block G to pack into the box at most
= 6 x 3
= 18
Answer(s): (a) 17 cm; (b) 18