PSLE A rectangular block V was cut along the dotted line into two smaller rectangular blocks of equal height, W and X, as shown. The volume of X is 3360 cm
3 more than that of W.
- What is the height of each block?
- Ahmad packed 6 of block X such that they fit exactly into a box with a square base. The box has the same height as X. At most, how many of block W can be packed into such a box?
(a)
Base area of Block W
= 9 x 16
= 144 cm
2 Base area of Block X
= 24 x 16
= 384 cm
2 Base area of Block X more than Block W
= 384 - 144
= 240 cm
2 Height of each block
= 3360 ÷ 240
= 14 cm
(b)
Base area of the box
= 6 x 384
= 2304 cm
3 Length of the box
= √2304
= 48 cm
Number of Block W along the length of the box
= 48 ÷ 9
= 5 r 3
Number of Block W along the breadth of the box
= 48 ÷ 16
= 3
Number of Block W to pack into the box at most
= 5 x 3
= 15
Answer(s): (a) 14 cm; (b) 15