PSLE A rectangular block S was cut along the dotted line into two smaller rectangular blocks of equal height, T and U, as shown. The volume of U is 5200 cm
3 more than that of T.
- What is the height of each block?
- Tommy packed 6 of block U such that they fit exactly into a box with a square base. The box has the same height as U. At most, how many of block T can be packed into such a box?
(a)
Base area of Block T
= 10 x 20
= 200 cm
2 Base area of Block U
= 30 x 20
= 600 cm
2 Base area of Block U more than Block T
= 600 - 200
= 400 cm
2 Height of each block
= 5200 ÷ 400
= 13 cm
(b)
Base area of the box
= 6 x 600
= 3600 cm
3 Length of the box
= √3600
= 60 cm
Number of Block T along the length of the box
= 60 ÷ 10
= 6 r 0
Number of Block T along the breadth of the box
= 60 ÷ 20
= 3
Number of Block T to pack into the box at most
= 6 x 3
= 18
Answer(s): (a) 13 cm; (b) 18