PSLE A rectangular block R was cut along the dotted line into two smaller rectangular blocks of equal height, S and T, as shown. The volume of T is 728 cm
3 more than that of S.
- What is the height of each block?
- Flynn packed 6 of block T such that they fit exactly into a box with a square base. The box has the same height as T. At most, how many of block S can be packed into such a box?
(a)
Base area of Block S
= 5 x 8
= 40 cm
2 Base area of Block T
= 12 x 8
= 96 cm
2 Base area of Block T more than Block S
= 96 - 40
= 56 cm
2 Height of each block
= 728 ÷ 56
= 13 cm
(b)
Base area of the box
= 6 x 96
= 576 cm
3 Length of the box
= √576
= 24 cm
Number of Block S along the length of the box
= 24 ÷ 5
= 4 r 4
Number of Block S along the breadth of the box
= 24 ÷ 8
= 3
Number of Block S to pack into the box at most
= 4 x 3
= 12
Answer(s): (a) 13 cm; (b) 12