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 7392 cm
3 more than that of G.
- What is the height of each block?
- Julian 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
= 9 x 22
= 198 cm
2 Base area of Block H
= 33 x 22
= 726 cm
2 Base area of Block H more than Block G
= 726 - 198
= 528 cm
2 Height of each block
= 7392 ÷ 528
= 14 cm
(b)
Base area of the box
= 6 x 726
= 4356 cm
3 Length of the box
= √4356
= 66 cm
Number of Block G along the length of the box
= 66 ÷ 9
= 7 r 3
Number of Block G along the breadth of the box
= 66 ÷ 22
= 3
Number of Block G to pack into the box at most
= 7 x 3
= 21
Answer(s): (a) 14 cm; (b) 21