PSLE A rectangular block M was cut along the dotted line into two smaller rectangular blocks of equal height, N and P, as shown. The volume of P is 100 cm
3 more than that of N.
- What is the height of each block?
- Ian packed 8 of block P such that they fit exactly into a box with a square base. The box has the same height as P. At most, how many of block N can be packed into such a box?
(a)
Base area of Block N
= 2 x 4
= 8 cm
2 Base area of Block P
= 6 x 4
= 18 cm
2 Base area of Block P more than Block N
= 18 - 8
= 10 cm
2 Height of each block
= 100 ÷ 10
= 10 cm
(b)
Base area of the box
= 8 x 18
= 144 cm
3 Length of the box
= √144
= 12 cm
Number of Block N along the length of the box
= 12 ÷ 2
= 6 r 0
Number of Block N along the breadth of the box
= 12 ÷ 4
= 3
Number of Block N to pack into the box at most
= 6 x 3
= 18
Answer(s): (a) 10 cm; (b) 18