PSLE A rectangular block J was cut along the dotted line into two smaller rectangular blocks of equal height, K and L, as shown. The volume of L is 200 cm
3 more than that of K.
- What is the height of each block?
- Cole packed 6 of block L such that they fit exactly into a box with a square base. The box has the same height as L. At most, how many of block K can be packed into such a box?
(a)
Base area of Block K
= 1 x 4
= 4 cm
2 Base area of Block L
= 6 x 4
= 24 cm
2 Base area of Block L more than Block K
= 24 - 4
= 20 cm
2 Height of each block
= 200 ÷ 20
= 10 cm
(b)
Base area of the box
= 6 x 24
= 144 cm
3 Length of the box
= √144
= 12 cm
Number of Block K along the length of the box
= 12 ÷ 1
= 12 r 0
Number of Block K along the breadth of the box
= 12 ÷ 4
= 3
Number of Block K to pack into the box at most
= 12 x 3
= 36
Answer(s): (a) 10 cm; (b) 36