PSLE A rectangular block U was cut along the dotted line into two smaller rectangular blocks of equal height, V and W, as shown. The volume of W is 2912 cm
3 more than that of V.
- What is the height of each block?
- Charlie packed 6 of block W such that they fit exactly into a box with a square base. The box has the same height as W. At most, how many of block V can be packed into such a box?
(a)
Base area of Block V
= 11 x 16
= 176 cm
2 Base area of Block W
= 24 x 16
= 384 cm
2 Base area of Block W more than Block V
= 384 - 176
= 208 cm
2 Height of each block
= 2912 ÷ 208
= 14 cm
(b)
Base area of the box
= 6 x 384
= 2304 cm
3 Length of the box
= √2304
= 48 cm
Number of Block V along the length of the box
= 48 ÷ 11
= 4 r 4
Number of Block V along the breadth of the box
= 48 ÷ 16
= 3
Number of Block V to pack into the box at most
= 4 x 3
= 12
Answer(s): (a) 14 cm; (b) 12