PSLE A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 25024 cm
3 more than that of B.
- What is the height of each block?
- Oscar packed 6 of block C such that they fit exactly into a box with a square base. The box has the same height as C. At most, how many of block B can be packed into such a box?
(a)
Base area of Block B
= 14 x 32
= 448 cm
2 Base area of Block C
= 48 x 32
= 1536 cm
2 Base area of Block C more than Block B
= 1536 - 448
= 1088 cm
2 Height of each block
= 25024 ÷ 1088
= 23 cm
(b)
Base area of the box
= 6 x 1536
= 9216 cm
3 Length of the box
= √9216
= 96 cm
Number of Block B along the length of the box
= 96 ÷ 14
= 6 r 12
Number of Block B along the breadth of the box
= 96 ÷ 32
= 3
Number of Block B to pack into the box at most
= 6 x 3
= 18
Answer(s): (a) 23 cm; (b) 18